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McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures

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McGraw-Hill Math Grade 8 Answer Key Lesson 22.1 Surface Area of Solid Figures

Exercises
CALCULATE SURFACE AREA
Question 1.
McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures 1
Answer:
Surface area of the cube = 96 square cm.

Explanation:
Side of the cube = 4 cm.
Surface area of the cube = 6 × Side of the cube × Side of the cube
= 6 × 4 × 4
= 24 × 4
= 96 square cm.

Question 2.
McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures 2
Answer:
Surface area of the cuboid = 160 square cm.

Explanation:
Length of the cuboid = 10 inches.
Width of the cuboid = 2 inches.
Height of the cuboid = 5 inches.
Surface area of the cuboid = 2(Length of the cuboid × Width of the cuboid) + 2(Width of the cuboid × Height of the cuboid) + 2(Height of the cuboid × Length of the cuboid)
= 2(10 × 2) + 2(2 × 5) + (5 × 10)
= 2(20) + 2(10) + 2(50)
= 40 + 20 + 100
= 60 + 100
= 160 square cm.

Question 3.
McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures 3
Answer:
Surface area of the cuboid = 72 square m.

Explanation:
Length of the cuboid = 6 m.
Width of the cuboid = 2 m.
Height of the cuboid = 3 m.
Surface area of the cuboid = 2(Length of the cuboid × Width of the cuboid) + 2(Width of the cuboid × Height of the cuboid) + 2(Height of the cuboid × Length of the cuboid)
= 2(6 × 2) + 2(2 × 3) + 2(3 × 6)
= 2(12) + 2(6) + 2(18)
= 24 + 12 + 36
= 36 + 36
= 72 square m.

Question 4.
McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures 4
Answer:
Surface area of the cylinder = 402.285 square inches.

Explanation:
Height of the cylinder = 12 inches.
Radius of the cylinder = 4 inches.
Surface area of the cylinder = 2π r h + 2π r²
= 2π × 4 × 12 + 2π × 4 × 4
= 2π × 48 + 2π ×16
= 2Ï€ (48 + 16)
= 2π × 64 ( π = \(\frac{22}{7}\))
= 128 × \(\frac{22}{7}\)
= \(\frac{2816 }{7}\)
= 402.285 square inches.

Question 5.
McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures 5
Answer:
Surface area of the cuboid = 340 square cm.

Explanation:
Length of the cuboid = 10 cm.
Width of the cuboid = 6 cm.
Height of the cuboid = 10 cm.
Surface area of the cuboid = 2(Length of the cuboid × Width of the cuboid) + 2(Width of the cuboid × Height of the cuboid) + 2(Height of the cuboid × Length of the cuboid)
= 2(10 × 6) + 2(6 × 10) + 2(10 × 10)
= 2(60) + 2(60) + 2(100)
= 120 + 120 + 100
= 240 + 100
= 340 square cm.

Question 6.
McGraw Hill Math Grade 8 Lesson 22.1 Answer Key Surface Area of Solid Figures 6
Answer:
Surface area of the cylinder = 358.285 square inches.

Explanation:
Height of the cylinder = 16 inches.
Radius of the cylinder = 3 inches.
Surface area of the cylinder = 2π r h + 2π r²
= 2π × 3 × 16 + 2π × 3 × 3
= 2π × 48 + 2π ×9
= 2Ï€ (48 + 9)
= 2π × 57
= 114 × \(\frac{22}{7}\)    (As π = \(\frac{22}{7}\))
= \(\frac{2508 }{7}\)
= 358.285 square inches.

 

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McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs

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McGraw-Hill Math Grade 7 Answer Key Lesson 21.4 Circle Graphs

Exercises

INTERPRET

Question 1.
Does the circle graph below support the idea that a large percentage of money spent on education is applied to non-instructional purposes? Explain your answer.
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 1
Answer:
No, only 4%.
Explanation:
The circle graph above shows the amount spent on education.
The idea does not support that a large percentage of money spent on education is applied to non-instructional purposes are only 4% of the total amount spent on education.

Question 2.
The graph below represents the distribution of colors in a bag of candies Should Patrick expect to pick an orange piece of candy if he only gets one pick? Explain your answer.
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 2
Answer:
No,
Explanation:
The distribution of colors in a bag of candies should Patrick expect is more likely to pick,
blue, green or red colors as the chance of picking of orange is less.

Question 3.
The circle graph below shows sales for the prior year at a popular shoe store in Dallas. According to the chart, during what month would the manager need the most employees working in the store? During what month would she need the fewest? Explain your answer.
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 3
Answer:
More employees in January and,
the fewest in February.
Explanation:
From the above given graph it is clearly shown that the manager need the most employees,
in January and the fewest in February to work in the store.

Question 4.
The circle graph below represents Maria’s favorite types of movies. What 2 genres, when added together, make up half of the movies Maria watches?
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 4
Answer:
Romance and Comedy,
Romance and Sci-fi.
Explanation:
The circle graph below represents Maria’s favorite types of movies,
when we add Romance and Comedy,
Romance and Sci-fi it make up half or 50% of the movies Maria watch.

Question 5.
Below is a circle graph showing a breakdown of some of the common toppings on a pizza. The crust and the cheese make up what percent of the pizza? How did you reach this answer?
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 5
Answer:
75% subtract the percentages that we know from 100%.
Explanation:
Above circle graph shows the breakdown of some of the common toppings on a pizza.
When we add the percentages of tomato sauce, mushrooms and sausages,
we get 12.5% + 5% + 7.5% = 25%
The percentage of crust and the cheese = total % – given %
100% – 25% = 75%

Question 6.
Below is a graph showing the costs for a manufacturer in New York City. Does it make sense that she wants to cut over 20% of her costs by focusing largely on reducing the budget for tools? Explain your answer.
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 6
Answer:
No, cutting tools only account for 3% of the total.
Explanation:
she wants to cut over 20% of her costs by focusing largely on reducing the budget for tools,
but cutting tools only account for 3% of the total as shown in the circle graph.

Question 7.
If you eliminate the two smallest sections of the circle graph below, what percentage of the total would you have left?
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 7
Answer:
91%
Explanation:
The two smallest sections of the circle are 4% and 5% = 9%
Total percentage of circle graph = 100%
100 – 9 = 91 %

Question 8.
According to the information in the circle graph below, is there one type of pie that is preferred by a majority of people? Explain your answer.
McGraw Hill Math Grade 7 Lesson 21.4 Answer Key Circle Graphs 8
Answer:
No,
Explanation;
When we observe The Pie preferences from the above circle graph,
the largest category is Apple at 36%, which is not more than 50%.

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McGraw Hill Math Grade 7 Lesson 21.3 Answer Key Double-Line Graphs

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McGraw-Hill Math Grade 7 Answer Key Lesson 21.3 Double-Line Graphs

Exercises

INTERPRET

Question 1.
What sort of relationship can you see in the graph below between sales and profits?
McGraw Hill Math Grade 7 Lesson 21.3 Answer Key Double-Line Graphs 1
Answer:
The higher the sales,
the higher the profits.
Explanation:
The above graph shows the relationship between sales and profits.
When the sales are higher, the profits are also high.

Question 2.
There is an old saying that “money does not buy happiness.” Does the double-line graph below support that? Why or why not?
McGraw Hill Math Grade 7 Lesson 21.3 Answer Key Double-Line Graphs 2
Answer:
Yes,
Explanation:
From the above Juhan’s professional graph,
there is an increase in salary with the corresponding decrease in happiness.
Simultaneously when decrease in salary with the corresponding increase in happiness.

Question 3.
In this double-line graph, the life expectancy of males and females appears to stay at a constant difference of about 4 years. What is the good news for males in spite of this? Explain your answer.
McGraw Hill Math Grade 7 Lesson 21.3 Answer Key Double-Line Graphs 3
Answer:
Males and Females are living longer.
Explanation:
The above double-line graph, the life expectancy at birth.
The males and females appears to stay at a constant difference of about 4 years.
The good news for males is females are also living longer.

Question 4.
Utilizing this triple-line graph. what conclusion can you reach about expenditures for the Criminal Justice system during the period 1982-2006?
McGraw Hill Math Grade 7 Lesson 21.3 Answer Key Double-Line Graphs 4
Answer:
Expenditures are going up,
Explanation:
From the above triple line graph of Direct Expenditure of Criminal Justice System 1982-2006,
shows the expenditures are going up and police are going up faster than the other two areas.

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McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs

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McGraw-Hill Math Grade 7 Answer Key Lesson 21.2 Line Graphs

Exercises

INTERPRET

Question 1.
The guide at the Abracadabra Falls Visitor Center tells you that their tourist season lasts all year, not just in the winter or summer. Does the graph shown support this? Why or why not?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 1
Answer:
yes,
Explanation:
The above chart The guide at the Abracadabra Falls Visitor Center tells,
that their tourist season lasts all year, not just in the winter or summer.
Because there seems to be a steady increase in visitors with no seasonal ups and downs.

Question 2.
The Northern Hemisphere experiences winter from December until March. During these months, the Southern Hemisphere is experiencing summer. Looking at the graph shown, is the area represented located in the Northern Hemisphere or Southern Hemisphere?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 2
Answer:
Northern Hemisphere,
Explanation:
The above graph shows monthly temperatures in Fahrenheit,
when we observe the graph the temperatures are increasing every month.
So, the area represented located in the Northern Hemisphere.

Question 3.
If you are planning a family vacation, what would be the best 2 months to avoid earthquakes, according to the graph below?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 3
Answer:
Month 2 and Month 9,
Explanation:
The above graph shows the Number of Earthquakes per month.
The best 2 months to avoid earthquakes for planning a family vacation are,
2nd and 9th months to avoid earthquakes.

Question 4.
Would the graph below support the claim that New Zealand had cut down on its overall greenhouse emissions during the period of 1990 to 2004?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 4
Answer:
No,
Explanation:
The graph above support the claim that New Zealand had not cut down,
on its overall greenhouse emissions during the period of 1990 to 2004.

Question 5.
Look at the population graph below. Which years represent a steep interval?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 5
Answer:
1800-1810,
Explanation:
The above graph shows the Population of Abracadabra from 1770-1940.
1800-1810 we can see the steep interval in the population growth.

Question 6.
Approximately how many people lived in the Southern Region of the U.S. in 1966, according to the line graph below?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 6
Answer:
60 million,
Explanation:
The above graph shows the Population of Southern Region of the U.S.
In 1966 about 60 million people lived in U.S.

Question 7.
The weather reporter forecasted a warming trend for the six-day period shown in the graph below. How accurate was the forecast?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 7
Answer:
Good, it got warm by day 6.
Explanation:
The weather reporter forecasted a warming trend for the six-day period shown in the graph above.
The accurate was good as it got warm by day 6.

Question 8.
The red line in the graph below shows the price of a stock during the period of April to December. What was the approximate high price during the period of April to November?
McGraw Hill Math Grade 7 Lesson 21.2 Answer Key Line Graphs 8
Answer:
46,
Explanation:
The red line in the graph above shows the price of a stock during the period of April to December.
The approximate high price during the period of April to November is 46.

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McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs

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McGraw-Hill Math Grade 7 Answer Key Lesson 21.1 Bar Graphs

Exercises

INTERPRET

Question 1.
Your neighborhood diner is preparing breakfast for 100 hungry customers. Using the information in the chart below, what type of eggs should the cook prepare the least of?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 1
Answer:
Soft Boiled,
Explanation:
The information in the chart above,
tells that soft boiled eggs are used to cook for the breakfast.

Question 2.
You are responsible for ordering food for all of the animals at the shelter. Using this chart, which two groups of animals would you order the least amount of food for?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 2
Answer:
Birds and Hamsters,
Explanation:
The above chart shows the information of food for the animal shelter.
Birds and Hamsters are ordered the least amount of food.

Question 3.
According to the chart below, which aspect of the Sample Reading Profile gave students the most difficulty?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 3
Answer:
Word meaning,
Explanation:
The information given in the sample reading profile,
Word reading or vocabulary is the most difficult to many of the students.

Question 4.
According to the chart below, what student won the ice cream eating contest?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 4
Answer:
Juan,
Explanation:
From the above Ice-cream Eating Contest chart,
Juan won the contest by eating eight scoops.

Question 5.
The chart below shows the years of teaching experience for Pleasant Hill High School. Where do the majority of teachers fall?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 5
Answer:
0-3 years,
Explanation:
The chart below shows the years of teaching experience for Pleasant Hill High School.
The majority of teachers fall from 0-3 years.

Question 6.
What two letter grades in the chart below had the lowest percentages of students receiving that grade?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 6
Answer:
A and D,
Explanation:
From the above Test Grade chart,
the lowest percentages of students receiving A and D grades.

Question 7.
What conclusion can you make about student performance at Fitchburg State College from the chart below?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 7
Answer:
About 45% of the students improved their performances.
Explanation:
From The Student performance at Fitchburg State College chart,
about 45% of the students improved their performances.

Question 8.
Can you make any conclusions about the trend of temperatures by looking at the chart below?
McGraw Hill Math Grade 7 Lesson 21.1 Answer Key Bar Graphs 8
Answer:
It is getting warmer from 2000 – 2003
Explanation:
When we observe the given chart of Trend in Temperatures from 2000 to 2003,
the temperatures are increasing.

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McGraw Hill Math Grade 7 Lesson 20.2 Answer Key Changing from Metric Units to Customary Units

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McGraw-Hill Math Grade 7 Answer Key Lesson 20.2 Changing from Metric Units to Customary Units

Exercises

CONVERT

Question 1.
If each person on a hike is supposed to carry 1.75 liters of water, how many gallons of water would you need to bring for a group of 45 people?
Answer:
20.8 gallons,
Explanation:
If each person on a hike is supposed to carry 1.75 liters of water,
1 gallon = 0.264 liters,
1.75 L = 0.264 x 1.75 = 0.462 Gallon,
Number of gallons of water would need to bring for a group of 45 people,
0.462 x 45 = 20.8 gallons.

Question 2.
Every camper is served .15 kilograms of cereal each morning. If there are 12 campers, how many pounds of cereal will you need to bring for a 7-day trip?
Answer:
27.8 lb,
Explanation:
Every camper is served .15 kilograms of cereal each morning.
If there are 12 campers,
0.15 x 12 = 1.8 kg,
Total number of pounds of cereal would need to bring for a 7-day trip,
1.8 x 7 = 12.6 kg,
1 kg = 2.205 pounds,
12.6 kg = 2.205 x 12.6 = 27.783 or 27.8 lbs.

Question 3.
11 kilograms is about how many ounces?
Answer:
388.1 oz,
Explanation:
1 kg = 35.274 ounce,
11 kg = 35.274 x 11 = 388.1 oz.

Question 4.
A 3-meter diving board is how many feet above the pool?
Answer:
9.84 ft,
Explanation:
1 meter = 3.280 feet,
3 m = 3.280 x 3 = 9.84 ft.

Question 5.
A 15-meter length of rope is how many feet long?
Answer:
49.2 ft,
Explanation:
1 meter = 3.280 feet,
15 m = 3.280 x 3 = 49.2 ft.

Question 6.
A dog weighs 22 kilograms. How many pounds is that?
Answer:
48.5 lb,
Explanation:
1 kg = 2.205 pounds,
22 kg = 2.205 x 22 = 48.5 lb.

Question 7.
A 50-meter pool is the standard size for the Olympics. What is that length in feet?
Answer:
164.04 ft,
Explanation:
1 meter = 3.280 feet,
50 m = 3.280 x 50 = 164.04 ft.

Question 8.
A reservoir contains 11,250,000 kiloliters of water. How many gallons is that?
Answer:
2,961,000,000.
Explanation:
1 kiloliter = 263.2 gallons,
11,250,000 kiloliters = 263.2 x 11,250,000 = 2,961,000,000 gallons.

Question 9.
The local middle school sponsored a 6-kilometer race for everyone to run. What is the length of the race in miles?
Answer:
3.726 miles,
Explanation:
1 kilometer = 0.621 miles,
6 kilometers = 0.621 x 6 = 3.726 miles.

Question 10.
A jet that travels at 4,200 kilometers per hour is traveling how many miles per hour?
Answer:
2608.2 miles per hour.
Explanation:
A jet that travels at 4,200 kilometers per hour.
1 kilometer = 0.621 miles,
4200 kilometers = 0.621 x 4200 = 2608.2 miles per hour.

Question 11.
How many inches is 300 centimeters? How many feet?
Answer:
118.2 inches; 9.9 ft.
Explanation:
1 centimeter = 0.394 inches,
300 cm = 0.394 x 300 = 118.2 inches,
1 centimeter = 0.0328  feet,
300 cm = 0.0328 x 300 = 9.9 ft.

Question 12.
The average defensive lineman on the football team at Bloomingdale High School weighs 110 kilograms. The average offensive lineman weighs 240 pounds. Which position has a lower average weight?
Answer:
The offensive linemen have a lower average weight.
Explanation:
The average defensive lineman on the football team at Bloomingdale High School weighs 110 kilograms.
Convert kilograms to pounds,
1 kg = 2.205 pounds,
110 kg = 110 x 2.205 = 242.55 pounds,
The average offensive lineman weighs 240 pounds.
When compare both the offensive linemen weighs least.

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McGraw Hill Math Grade 7 Lesson 20.1 Answer Key Changing from Customary Units to Metric Units

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McGraw-Hill Math Grade 7 Answer Key Lesson 20.1 Changing from Customary Units to Metric Units

Exercises

CONVERT

Question 1.
The weight limit on a bridge is 16,000 pounds. What is the weight limit in kilograms?
Answer:
7,264 kg
Explanation:
The weight limit on a bridge is 16,000 pounds.
1 pound = 0.454 kg
The weight limit in kilograms on a bridge,
16000 x 0.454 = 7,264 kg

Question 2.
The directions on a plant fertilizer bag recommend using 3 pounds for a 4 × 10 garden. How many grams is that?
Answer:
1,362 g
Explanation:
The directions on a plant fertilizer bag recommend using 3 pounds for a 4 × 10 garden.
1 pound = 454 grams,
3 pounds = 454 x 3 = 1,362 g.

Question 3.
A 2-ton truck weighs how many kilograms?
Answer:
1814.36 kg
Explanation:
1 ton = 907.18 kg
2 ton truck weighs = 907.18 x 2 = 1814.36 kg.

Question 4.
A car with a 23-gallon gas tank holds how many liters of gas?
Answer:
87.055 L
Explanation:
1 gallon = 3.785 L
23 gallon gas tank holds = 3.785 x 23 = 87.055 L

Question 5.
A 24-ounce fruit juice bottle contains how many liters of fluid?
Answer:
0.7098 L
Explanation:
1 ounce = 0.029574 L
Number of liters contained by 24 ounce fruit juice bottle,
24 x 0.029574 =  0.7098 L

Question 6.
Jasmine has a 150-ft length of rope. Does she have enough rope to reach the bottom of a 40-meter cliff?
Answer:
yes, the rope is 45.75 m long.
Explanation:
Jasmine has a 150-ft length of rope.
Height of a cliff is 40-meter cliff.
1 feet = 0.305 m
150 feet = 150 x 0.305 = 45.75 m.

Question 7.
A 3-pound lobster weighs how many kilograms?
Answer:
1.362 kg
Explanation:
1 pound = 0.454 kg,
3 pounds of lobster weighs = 3 x 0.454 = 1.362 kg.

Question 8.
Would you rather have 2.4 pounds or 1,000 grams of gold?
Answer:
2.4 pounds of gold.
Explanation:
1 pound = 453.592 g
2.4 pounds = 453.529 x 2.4 = 1088.64 g
So, there is 2.4 pounds of gold.

Question 9.
About how many meters tall is a 100-ft tree?
Answer:
30.5 m
Explanation:
1 feet = 0.305 m
100 feet = 0.305 x 100 = 30.5 m.

Question 10.
How many meters tall is a 9.5-foot tree?
Answer:
2.9 m
Explanation:
1 feet = 0.305 m
9.5 feet = 0.305 x 9.5 = 2.89 or 2.9 m.

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McGraw Hill Math Grade 7 Lesson 2.2 Answer Key Estimating Products

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McGraw-Hill Math Grade 7 Answer Key Lesson 2.2 Estimating Products

Exercise

Question 1.
34 × 71
Answer:
2,100

Explanation:
Round both numbers, 34 as 30 and 71 as 70.
Ignore the zeros and multiply the digits.
3 x 7 = 21
Count the zeros and tack them onto the end of your product.
34 x 71 = 2,100.

Question 2.
456 × 33
Answer:
15,000

Explanation:
Round both numbers, 456 as 500 and 33 as 30.
Ignore the zeros and multiply the digits.
5 x 3 = 15
Count the zeros and tack them onto the end of your product.
456 x 33 = 15,000.

Question 3.
47 × 67
Answer:
3,500

Explanation:
Round both numbers, 47 as 50 and 67 as 70.
Ignore the zeros and multiply the digits.
5 x 7 = 35
Count the zeros and tack them onto the end of your product.
47 x 67 = 3,500.

Question 4.
731 × 55
Answer:
42,000

Explanation:
Round both numbers, 731 as 700 and 55 as 60.
Ignore the zeros and multiply the digits.
7 x 6 = 42
Count the zeros and tack them onto the end of your product.
731 x 55 = 42,000.

Question 5.
78 × 357
Answer:
32,000

Explanation:
Round both numbers, 78 as 80 and 357 as 400.
Ignore the zeros and multiply the digits.
8 x 4 = 32
Count the zeros and tack them onto the end of your product.
78 x 357 = 32,000.

Question 6.
129 × 157
Answer:
20,000

Explanation:
Round both numbers, 129 as 100 and 157 as 200.
Ignore the zeros and multiply the digits.
1 x 2 = 2
Count the zeros and tack them onto the end of your product.
129 x 157 = 20,000.

Question 7.
323 × 489
Answer:
150,000

Explanation:
Round both numbers, 323 as 300 and 489 as 500.
Ignore the zeros and multiply the digits.
3 x 5 = 15
Count the zeros and tack them onto the end of your product.
323 x 489 = 150,000.

Question 8.
417 × 37
Answer:
16,000

Explanation:
Round both numbers, 417 as 400 and 37 as 40.
Ignore the zeros and multiply the digits.
4 x 4 = 16
Count the zeros and tack them onto the end of your product.
417 x 37 = 16,000.

Question 9.
53 × 49
Answer:
2,500

Explanation:
Round both numbers, 53 as 50 and 49 as 50.
Ignore the zeros and multiply the digits.
5 x 5 = 25
Count the zeros and tack them onto the end of your product.
53 x 49 = 2,500.

Question 10.
515 × 79
Answer:
40,000

Explanation:
Round both numbers, 515 as 500 and 79 as 80.
Ignore the zeros and multiply the digits.
5 x 8 = 40
Count the zeros and tack them onto the end of your product.
515 x 79 = 40,000.

Question 11.
745 × 821
Answer:
560,000

Explanation:
Round both numbers, 745 as 700 and 821 as 800.
Ignore the zeros and multiply the digits.
7 x 8 = 56
Count the zeros and tack them onto the end of your product.
745 x 821 = 560,000.

Question 12.
475 × 71
Answer:
35,000

Explanation:
Round both numbers, 475 as 500 and 71 as 70.
Ignore the zeros and multiply the digits.
5 x 7 = 35
Count the zeros and tack them onto the end of your product.
475 x 71 = 35,000.

Question 13.
2701 × 23
Answer:
60,000

Explanation:
Round both numbers, 2701 as 3000 and 23 as 20.
Ignore the zeros and multiply the digits.
3 x 2 = 6
Count the zeros and tack them onto the end of your product.
2701 x 23 = 60,000.

Question 14.
77 × 74
Answer:
5,600

Explanation:
Round both numbers, 77 as 80 and 74 as 70.
Ignore the zeros and multiply the digits.
8 x 7 = 56
Count the zeros and tack them onto the end of your product.
77 x 74 = 5,600.

Question 15.
521 × 555
Answer:
300,000

Explanation:
Round both numbers, 521 as 500 and 555 as 600.
Ignore the zeros and multiply the digits.
5 x 6 = 30
Count the zeros and tack them onto the end of your product.
521 x 555 = 300,000.

Question 16.
303 × 251
Answer:
90,000

Explanation:
Round both numbers, 303 as 300 and 251 as 300.
Ignore the zeros and multiply the digits.
3 x 3 = 9
Count the zeros and tack them onto the end of your product.
303 x 251 = 90,000.

Question 17.
727 × 462
Answer:
350,000

Explanation:
Round both numbers, 727 as 700 and 462 as 500.
Ignore the zeros and multiply the digits.
7 x 5 = 35
Count the zeros and tack them onto the end of your product.
727 x 462 = 350,000.

Question 18.
92 × 177
Answer:
18,000

Explanation:
Round both numbers, 92 as 90 and 177 as 200.
Ignore the zeros and multiply the digits.
9 x 2 = 18
Count the zeros and tack them onto the end of your product.
92 x 177 = 18,000.

Question 19.
42 × 420
Answer:
16,000

Explanation:
Round both numbers, 42 as 40 and 420 as 400.
Ignore the zeros and multiply the digits.
4 x 4 = 16
Count the zeros and tack them onto the end of your product.
42 x 420 = 16,000.

Question 20.
499 × 55
Answer:
30,000

Explanation:
Round both numbers, 499 as 500 and 55 as 60.
Ignore the zeros and multiply the digits.
5 x 6 = 30
Count the zeros and tack them onto the end of your product.
499 x 55 = 30,000.

McGraw Hill Math Grade 7 Lesson 2.2 Answer Key Estimating Products Read More »

McGraw Hill Math Grade 7 Lesson 2.1 Answer Key Multiplying Whole Numbers

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 2.1 Multiplying Whole Numbers existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 2.1 Multiplying Whole Numbers

Exercises Multiply

Question 1.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 1
Answer:
60
Explanation:
The two factors 5 and 12 gives the as product 60.

Question 2.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 2
Answer:
352
Explanation:
The two factors 32 and 11 gives the as product 352.

Question 3.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 3
Answer:
133
Explanation:
The two factors 7 and 19 gives the as product 133.

Question 4.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 4
Answer:
572
Explanation:
The two factors 44 and 13 gives the as product 572.

Question 5.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 5
Answer:
861
Explanation:
The two factors 41 and 21 gives the as product 861.

Question 6.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 6
Answer:
2,860
Explanation:
The two factors 55 and 52 gives the as product 2,860.

Question 7.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 7
Answer:
1,641
Explanation:
The two factors 3 and 547 gives the as product 1,641.

Question 8.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 8
Answer:
40,848
Explanation:
The two factors 444 and 92 gives the as product 40,848.

Question 9.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 9
Answer:
2,376
Explanation:
The two factors 72 and 33 gives the as product 2,376.

Question 10.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 10
Answer:
89,082
Explanation:
The two factors 1414 and 63 gives the as product 89,082.

Question 11.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 11
Answer:
3,599
Explanation:
The two factors 59 and 61 gives the as product 3,599.

Question 12.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 12
Answer:
1,083
Explanation:
The two factors 57 and 19 gives the as product 1,083.

Question 13.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 13
Answer:
612
Explanation:
The two factors 68 and 9 gives the as product 612.

Question 14.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 14
Answer:
161,296
Explanation:
The two factors 593 and 272 gives the as product 161,296.

Question 15.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 15
Answer:
3,762
Explanation:
The two factors 38 and 99 gives the as product 3,762.

Question 16.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 16
Answer:
183,090
Explanation:
The two factors 255 and 718 gives the as product 183,090.

Question 17.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 17
Answer:
76,445
Explanation:
The two factors 5 and 15289 gives the as product 76,445.

Question 18.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 18
Answer:
208,803
Explanation:
The two factors 427 and 489 gives the as product 208,803.

Question 19.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 19
Answer:
1,519
Explanation:
The two factors 31 and 49 gives the as product 1,519.

Question 20.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 20
Answer:
1,875
Explanation:
The two factors 75 and 25 gives the as product 1,875.

Question 21.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 21
Answer:
625
Explanation:
The two factors 25 and 25 gives the as product 625.

Question 22.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 22
Answer:
343
Explanation:
The two factors 49 and 7 gives the as product 343.

Question 23.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 23
Answer:
7,225
Explanation:
The two factors 425 and 17 gives the as product 7,225.

Question 24.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 24
Answer:
4,056
Explanation:
The two factors 52 and 78 gives the as product 4,056.

Question 25.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 25
Answer:
68,820
Explanation:
The two factors 310 and 222 gives the as product 68,820.

Question 26.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 26
Answer:
169
Explanation:
The two factors 13 and 13 gives the as product 169.

Question 27.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 27
Answer:
1,323
Explanation:
The two factors 21 and 63 gives the as product 1,323.

Question 28.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 28
Answer:
41,085
Explanation:
The two factors 45 and 913 gives the as product 41,085.

Question 29.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 29
Answer:
36,663
Explanation:
The two factors 1111 and 33 gives the as product 36,663.

Question 30.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 30
Answer:
42,174
Explanation:
The two factors 54 and 781 gives the as product 42,174.

Question 31.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 31
Answer:
100,899
Explanation:
The two factors 333 and 303 gives the as product 100,899.

Question 32.
McGraw Hill Math Grade 7 Chapter 2 Lesson 2.1 Answer Key Multiplying Whole Numbers 32
Answer:
1,081
Explanation:
The two factors 47 and 23 gives the as product 1,081.

Question 33.
The local produce store received an order for 75 bags of potatoes. 30 potatoes can fit into each bag. How
many potatoes will the store need to fill the bags?
Answer:
2,250 potatoes.
Explanation:
The local produce store received an order for 75 bags of potatoes.
30 potatoes can fit into each bag.
Total number of potatoes will the store need to fill the bags,
75 x 30 = 2,250 potatoes.

Question 34.
Steven is organizing his stamp collection into large envelopes. He plans to place 60 stamps in each envelope. If he can fill 22 envelopes, how many stamps are in Steven’s stamp collection?
Answer:
1320 stamps.
Explanation:
Steven plans to place 60 stamps in each envelope.
If he fill 22 envelopes,
Total number of stamps are there in Steven’s stamp collection,
60 x 22 = 1320 stamps.

McGraw Hill Math Grade 7 Lesson 2.1 Answer Key Multiplying Whole Numbers Read More »

McGraw Hill Math Grade 7 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 10.4 Estimating Decimal Sums and Differences existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 10.4 Estimating Decimal Sums and Differences

Exercises Estimate

Question 1.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 1
Answer:
$34.45 + $22.52 = $56.97.

Explanation:
The addition of the decimals is $34.45 and $22.52 is $56.97.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 1-1

Question 2.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 2
Answer:
$55.11 + $$22.73 is $78.07.

Explanation:
The addition of the decimals $55.11 and $$22.73 is $78.07.

Question 3.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 3
Answer:

Explanation:
The addition of the decimals $76.77+$2.31 is $78.08.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 3-1

Question 4.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 4
Answer:
$908.03-$37.56 = $870.47.

Explanation:
The subtraction of the decimals $908.03-$37.56 is $870.47.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 4-1

Question 5.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 5
Answer:
$32.77-$21.99 = $10.78.

Explanation:
The subtraction of the decimals $32.77-$21.99 is $10.78.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 5-1

Question 6.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 6
Answer:
$561.22-$2.10 = $559.12.

Explanation:
The subtraction of the decimals $561.22-$2.10 is $559.12.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 6-1

Question 7.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 7
Answer:
$77.55-$55.77 = $21.78.

Explanation:
The subtraction of the decimals $77.55-$55.77 is $21.78.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 7-1

Question 8.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 8
Answer:
$234.55-$222.99 = $011.56.

Explanation:
The subtraction of the decimals $234.55-$222.99 is $011.56.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 8-1

Question 9.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 9
Answer:
$45.32 + $99.01 = $144.33.

Explanation:
The addition of the decimals $45.32 and $99.01 which is $144.33.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 9-1

Question 10.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 10
Answer:
$10.08-$1.07 = $09.01.

Explanation:
The subtraction of the decimals $10.08-$1.07 is $09.01.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 10-1

Question 11.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 11
Answer:
$12.77 + $2.39 = $15.16.

Explanation:
The addition of the decimals $12.77 and $2.39 is $15.16.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 11-1

Question 12.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 12
Answer:
$14.57 + $217.66 = $232.23.

Explanation:
The addition of the decimals $14.57 and $217.66 is $232.23.

Question 13.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 13
Answer:
$21.67-$18.33 = $03.34.

Explanation:
The subtraction of the decimals $21.67-$18.33 is $03.34.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 13-1

Question 14.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 14
Answer:
$2.33-$1.87 = $0.46.

Explanation:
The subtraction of the decimals $2.33-$1.87 is $0.46.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 14-1

Question 15.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 15
Answer:
$444.71 + $67.33 = $512.04.

Explanation:
The addition of the decimals $444.71 and $67.33 is $512.04.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 15-1

Question 16.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 16
Answer:
$232.47 + $1001.51 = $1233.98.

Explanation:
The addition of the decimals $232.47 and $1001.51 is $1233.98.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 16-1

Question 17.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 17
Answer:
$67.89 + $253.77 = $321.66.

Explanation:
The addition of the decimals $67.89 and $253.77 is $321.66.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 17-1

Question 18.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 18
Answer:
$7.52 + $75.20 = $82.72

Explanation:
The addition of the decimals $7.52 and $75.20 is $82.72.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 18-1

Question 19.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 19
Answer:
$2303.41 + $223.67 = $2527.08.

Explanation:
The addition of the decimals $2303.41 and $223.67 is $2527.08.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 19-1

Question 20.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 20
Answer:
$32.6 – $21.91 = $10.65.

Explanation:
The subtraction of the decimals $32.6 – $21.91 which is $10.65.
McGraw Hill Math Grade 7 Chapter 10 Lesson 10.4 Answer Key Estimating Decimal Sums and Differences 2-1

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