McGraw Hill Math

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 9 Lesson 3 Metric Units of Capacity are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 9 Lesson 3 Metric Units of Capacity

Solve

Question 1.
Amy’s aquarium holds 70 liters of water. How many milliliters of water does the aquarium hold?
Answer:
70,000 milliliters of water the aquarium hold.

Explanation:
Number of liters of water Amy’s aquarium holds = 70.
Conversion:
1 liter = 1000 milliliters.
=> 70 liters = 1000 × 70
= 70,000 milliliters.

Question 2.
A red pitcher holds 20.4 deciliters of juice. A blue pitcher holds 14.7 deciliters of juice. How many more liters of juice are in the red pitcher?
Answer:
0.57 liters more liters of juice are in the red pitcher.

Explanation:
Number of deciliters of juice a red pitcher holds = 20.4.
Number of deciliters of juice a blue pitcher holds = 14.7.
Difference:
Number of deciliters of juice a red pitcher holds – Number of deciliters of juice a blue pitcher holds
= 20.4 – 14.7
= 5.7.
Conversion:
1 liter = 10 deciliters.
=> 5.7 deciliters = 5.7 ÷ 10
= 0.57 liters.

Question 3.
An artist needs 30 L of paint for an outdoor wall mural. He has 82 dL of red paint, 67 dL of blue paint, 32 dL of green paint, and 70 dL of yellow paint. Does he have enough paint for the mural? How do you know?
Answer:
No, he does not have enough paint for the mural because he has only 18.4 liters which is less than the required paint for an outdoor wall mural an artist needs 30 liters.

Explanation:
Number of liters of paint for an outdoor wall mural an artist needs = 30.
Number of deciliters of red paint he has = 82.
Number of deciliters of blue paint he has = 32.
Number of deciliters of yellow paint he has = 70.
Total number of deciliters of paint he has = Number of deciliters  of red paint he has + Number of deciliters  of blue paint he has + Number of deciliters  of yellow paint he has
=  82 + 32 + 70
= 114 + 70
= 184.
Conversion:
1 liter = 10 deciliters.
=> 184 deciliters = 184 ÷ 10
= 18.4 liters.

Question 4.
Geoff drank about 220 milliliters of water. How many deciliters of water did he drink?
Answer:
2.20 deciliters of water he drink.

Explanation:
Number of milliliters Geoff drank = 220.
Conversion:
1 deciliter = 100 milliliters.
=> 220 milliliters = 220 ÷ 100
=> 2.20 deciliters.

Question 5.
Sheila is filling a 2.2-L bottle with liquid from a full 1.1 -dL glass. How many glasses of liquid will it take to fill the bottle?
Answer:
20 glasses of liquid will it take to fill the bottle.

Explanation:
Number of liters of bottle Sheila is filling with liquid = 2.2.
Number of deciliters of glass she used = 1.1.
Conversion:
1 liter = 10 deciliter.
=> 1.1 deciliters = 1.1 ÷ 10
= 0.11.
Number of glasses of liquid will it take to fill the bottle = Number of liters of bottle Sheila is filling with liquid ÷ Number of liters of glass she used
= 2.2 ÷ 0.11
= 20.

Question 6.
Mechanics at a garage use 87 liters of oil on Monday. They use 66 liters on Tuesday, and 103 liters on Wednesday. How many milliliters of oil do they use in all?
Answer:
2,56,000 milliliters of oil they used in all.

Explanation:
Number of liters of oil on Monday Mechanics at a garage use = 87.
Number of liters of oil on Tuesday Mechanics at a garage use = 66.
Number of liters of oil on Wednesday Mechanics at a garage use = 103.
Total number of liters of oil they used = Number of liters of oil on Monday Mechanics at a garage use + Number of liters of oil on Tuesday Mechanics at a garage use + Number of liters of oil on Wednesday Mechanics at a garage use
= 87 + 66 + 103
= 153 + 103
= 256.
Conversion:
1 liter = 1000 milliliters.
=> 256 liters = 256 × 1000
= 2,56,000.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 5 Using Mental Math to Multiply to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 5 Using Mental Math to Multiply

Multiply

Find each product using mental math.

Question 1.
10 × 300 = 300
Explanation:
1 x 3 = 3
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Question 2.
40 × 90 = ____
Answer:
4 x 9 = 36
so, 3600
40 x 90 = 3600
Explanation:
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Question 3.
400 × 30 = ___
Answer:
4 x 3 = 12
so, 400 x 30 = 12000
Explanation:
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Question 4.
800 × 70 = ___
Answer:
8 x 7 = 56
so, 800 x 70 = 56000
Explanation:
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Question 5.
500 × 40 = ___
Answer:
5 x 4 = 20
so, 500 x 20 = 20000
Explanation:
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Question 6.
25 × 600 = ___
Answer:
25 x 6 = 150
so, 25 x 600 = 15000
Explanation:
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Question 7.
40 has one zero. 500 has two zeros. Why does the product of 40 and 500 have four zeros? Explain.
Answer:
as 4 x 5 = 20
The product zero is also added.
Explanation:
The number of zeros in the product is same as the number of zeros in the factors
If the product ends with zero then add the zeros to the result

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 1.1 Place Value will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 1.1 Place Value

Exercises SOLVE

Question 1.
In 57,761, the underlined digit is in which place? _________
Answer:
Place value is the value of each digit in a number. The underlined digit 7 57,761 represents ten thousand’s place

Question 2.
In 0.839, the number 8 is in which place? _______
Answer:
Place value is the value of each digit in a number. The digit 8 in 0.839 represents tenths place.

Question 3.
In 8,730,562, which digit is in the hundreds place? _________
Answer:
Place value is the value of each digit in a number. The digit 5 represents hundred’s place.

Question 4.
In 947,568,001, which digit is in the ten millions place? _________
Answer:
Place value is the value of each digit in a number. The number 4 is in ten millions place.

Question 5.
The number 6 is in which place in 467,901,324? _________
Answer:
Place value is the value of each digit in a number. The number 6 is in ten millions place.

Question 6.
Write the following in word form: 6,782,121. ______
Answer: 6,782,121 in word form is six million, seven hundreds eighty-two thousand and one hundred twenty-one

Question 7.
In which place is the number 7 in 535,603.274? ____________
Answer:
Place value is the value of each digit in a number. The number 7 in 535,603.274 represents hundredths.

Question 8.
The standard form of the number 458,905.43 has the number 9 in which place?
Answer:
Place value is the value of each digit in a number. The number 9 in 458,905.43 represents 900.

Question 9.
Which digit is in the hundredths place in the following number: 9,873,100.194?
Answer:
Place value is the value of each digit in a number. 9 in 9,873,100.194 represents hundredths place.

Question 10.
In 9,640,862, the 8 is in what place? _________
Answer:
Place value is the value of each digit in a number. The number 8 is in hundred’s place.

Question 11.
Standard Form: 303,201.321
Expanded Form: __________________
___________________
Word Form: __________________
___________________________
Answer:
Expanded Form:
303,201.321 = (3 × 10000) + (3 × 1000) + (2 × 100) + (1 × 1) + (3 × 0.1) + (2 × 0.01) + (1 × 0.001)
Word Form:
303,201.321 = three hundred three thousand, two hundred one and three hundred twenty-one thousandths.

Question 12.
Standard Form:
Expanded Form: (7 × 100,000) + (3 × 10,000) + (2 × 1,000) + (9 × 100) + (9 × 10) + (8 × 1) + (2 × .1) + (7 × .001)
Word Form: ______________
Answer:
Standard form of (7 × 100,000) + (3 × 10,000) + (2 × 1,000) + (9 × 100) + (9 × 10) + (8 × 1) + (2 × .1) + (7 × .001) is 732998.207
Word Form:
732998.207 is seven hundred thirty two thousand, nine hundred and ninety eight and two hundred seven thousandths.

Question 13.
Standard Form: ___________
Expanded Form: ______________
____________________________
Word Form: Twelve million, four hundred fifty-four thousand, seven hundred twenty-one and ninety-six thousandths
Answer:
The standard form of Twelve million, four hundred fifty-four thousand, seven hundred twenty-one and ninety-six thousandths is 12,454,721.067
Expanded form:
12,454,721.067 = (1 × 10,000,000) + (2 × 1,000,000) + (4 × 100,000) + (5 × 10,000) + (4 × 1000) + (7 × 100) + (2 × 10) + (1 × 1) + (6 × 0.01) + (7 × 0.001)

Question 14.
Standard Form: ____________
Expanded Form: (4 × 1,000,000) + (6 × 10,000) + (3 × 1,000) + (5 × 100) + (2 × .1) + (7 × .001)
Word Form: _____________
___________________________
Answer:
(4 × 1,000,000) + (6 × 10,000) + (3 × 1,000) + (5 × 100) + (2 × .1) + (7 × .001) in standard form is 4,063,500.207
4,063,500.207 = four million and sixty three thousand five hundred and two hundred and seven thousandths.

Question 15.
Standard Form: 1,559,461.625
Expanded Form: ___________________
_______________________________
Word Form: _______________
Answer:
1,559,461.625 in expanded form is (1 × 1,000,000) + (5 × 100,000) + (5 × 10,000) + (9 × 1000) + (4 × 100) + (6 × 10) + (5 × 1) + (6 × 0.1) + (2 × 0.01) + (5 × 0.001)
1,559,461.625 in word form is one million Five fifty-nine thousand four hundred and sixty-one and six twenty-five thousandths.

Question 16.
Standard Form: _________
Expanded Form: ______________
_____________________
Word Form: Four hundred forty-four thousand, two hundred thirty-six and fifty-six thousandths
Answer:
Standard Form: 444,236.056
444,236.056 = (4× 100,000) + (4 × 10,000) + (4 × 1000) + (2 × 100) + (3 × 10) + (6 × 1) + (0 × 0.1) + (5 × 0.01) + (6 × 0.001)

Question 17.
Nadine was watching her mom fill out a check to pay the electric bill. On the check she is required to write the amount of the check in standard form and in word form. Nadine’s mother wrote a check for $1,396. What is that in word form?
___________________
Answer:
Given,
Nadine was watching her mom fill out a check to pay the electric bill.
On the check she is required to write the amount of the check in standard form and in word form.
Nadine’s mother wrote a check for $1,396.
1,396 in word form is one thousand, three hundred and ninety-six dollars

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 3 Fractions on a Number Line existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 3 Fractions on a Number Line

Solve

Label the number line with the correct number of equal parts. Then draw a dot to show the fraction on the number line.

Question 1.

The number line is from 0 to 1.

Question 2.

Answer:

Question 3.
Dana walks I mile from her school to her home. She stops at a store of the way home. Where did she stop?
Label the number line with the correct number of equal parts. Then draw a dot where Dana stopped.

Answer:

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 4 More Fractions on a Number Line existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 4 More Fractions on a Number Line

Label

Write the missing fractions in the box.

Question 1.

The missing fraction in the number line is 1/4.

Question 2.

Answer:

The missing fraction in the number line is 2/3

Question 3.

Answer:

The missing fraction in the number line is 2/6 and 5/6.

Question 4.
This fraction is on a number line divided into eighths. It appears four number places after 0. What fraction is it?
Answer:
Given,
This fraction is on a number line divided into eighths. It appears four number places after 0.

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 6 Finding Equivalent Fractions existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 6 Finding Equivalent Fractions

Identify

Complete the equivalent fraction. Write the missing numerator or denominator.

Question 1.

Answer:
From the given fraction strips we can see that the fraction 1/3 and two 1/6’s are same.
That means 1/3 = 2/6

Question 2.

Answer:
From the given fraction strips we can see that the fraction 1/2 and two 1/4’s are the same.
That means 1/2 = 2/4

Question 3.
\(\frac{1}{2}\), \(\frac{2}{4}\), \(\frac{3}{6}\), and \(\frac{4}{8}\) are equivalent fractions. What do you notice about fractions equivalent to \(\frac{1}{2}\)?
Answer:
\(\frac{1}{2}\), \(\frac{2}{4}\), \(\frac{3}{6}\), and \(\frac{4}{8}\) are equivalent fractions.
We observe that by simplifying each fraction we get the resultant fraction as \(\frac{1}{2}\).

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 5 Different Fractions, Same Amount existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 5 Different Fractions, Same Amount

Compare

Look at the fraction strips or number lines. Compare the fractions. Place a check mark next to equivalent or not equivalent.

Question 1.

\(\frac{3}{4}\) and \(\frac{7}{8}\)
__________ equivalent
__________ not equivalent
Answer:
By seeing the above fraction strips we can say that \(\frac{3}{4}\) and \(\frac{7}{8}\) are not equivalent.

Question 2.

\(\frac{2}{3}\) and \(\frac{4}{6}\)
__________ equivalent
__________ not equivalent
Answer:
By seeing the above fraction strips we can say that \(\frac{2}{3}\) and \(\frac{4}{6}\) are equivalent.

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 7 Fractions for Whole Numbers existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 7 Fractions for Whole Numbers

Identify

Choose the fraction that equals a whole number. Then write the whole number that the fraction equals. Draw number lines to help if you need to.

Question 1.
\(\frac{8}{8}\) \(\frac{2}{8}\) \(\frac{1}{8}\)
Answer:
Given three fractions
\(\frac{8}{8}\) \(\frac{2}{8}\) \(\frac{1}{8}\)
If the numerator and the denominator is same then it becomes 1.

Question 2.
\(\frac{1}{2}\) \(\frac{1}{3}\) \(\frac{2}{2}\) _________ = ________
Answer:
Given three fractions
\(\frac{1}{2}\) \(\frac{1}{3}\) \(\frac{2}{2}\)
If the numerator and the denominator is same then it becomes 1.
\(\frac{2}{2}\) = 1

Question 3.
\(\frac{3}{4}\) \(\frac{4}{4}\) \(\frac{2}{4}\) __________ = __________
Answer:
Given three fractions
\(\frac{3}{4}\) \(\frac{4}{4}\) \(\frac{2}{4}\)
If the numerator and the denominator is same then it becomes 1.
\(\frac{4}{4}\) = 1

Question 4.
\(\frac{3}{1}\) \(\frac{2}{3}\) \(\frac{1}{3}\) __________ = ____________
Answer:
Given three fractions
Any number divided by 1 will be a whole number.
\(\frac{3}{1}\) = 3

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 8 Showing Whole Numbers as Fractions existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 8 Showing Whole Numbers as Fractions

Write

Write a fraction that equals each whole number.

Question 1.
3
Answer:
3 is the whole number, it can be written in the fraction form as \(\frac{3}{1}\)

Question 2.
5 ___________
Answer:
5 is the whole number, it can be written in the fraction form as \(\frac{5}{1}\)

Question 3.
4 ___________
Answer:
4 is the whole number, it can be written in the fraction form as \(\frac{4}{1}\)

Question 4.
12 __________
Answer:
12 is the whole number, it can be written in the fraction form as \(\frac{12}{1}\)

Complete the fraction in each number sentence.

Question 5.
1 = \(\frac{}{4}\)
Answer:
Any number divided by the same number is equal to 1.
1 = \(\frac{4}{4}\)

Question 6.
1 = \(\frac{3}{}\)
Answer:
Any number divided by the same number is equal to 1.
1 = \(\frac{3}{3}\)

Question 7.
1 = \(\frac{8}{}\)
Answer:
Any number divided by the same number is equal to 1.
1 = \(\frac{8}{8}\)

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 10 Comparing Fractions with the Same Numerator existing for free of cost.

McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 10 Comparing Fractions with the Same Numerator

Compare

Compare the fractions. Write >, <, or = in the .

Question 1.

\(\frac{1}{3}\) \(\frac{1}{8}\)
Answer:
The name of the shape is circle.
The first shape is divided into three equal parts. The name of the fraction is thirds.
The second shape is divided into eight equal parts. The name of the fraction is eighths.
\(\frac{1}{3}\) \(\frac{1}{8}\)

Question 2.

\(\frac{1}{2}\) \(\frac{1}{2}\)
Answer:
The name of the shape is a triangle.
The first shape is divided into two equal parts. The name of the fraction is halves.
The second shape is divided into two equal parts. The name of the fraction is halves.
\(\frac{1}{2}\) = \(\frac{1}{2}\)

Question 3.

\(\frac{2}{6}\) \(\frac{2}{4}\)
Answer:
The name of the shape is a square.
The first shape is divided into six equal parts. The name of the fraction is sixths.
Shaded fraction = \(\frac{2}{6}\)
The second shape is divided into four equal parts. The name of the fraction is fourths.
Shaded fraction = \(\frac{2}{4}\)
\(\frac{2}{6}\) < \(\frac{2}{4}\)

Question 4.
Regina has read \(\frac{1}{4}\) of a book. Christian has read \(\frac{1}{3}\) of the same book. Who has read more pages? Explain.
Answer:
Given,
Regina has read \(\frac{1}{4}\) of a book.
Christian has read \(\frac{1}{3}\) of the same book.
The denominator with the greatest number will be the smallest fraction.
\(\frac{1}{4}\) < \(\frac{1}{3}\)
Thus Christian read more pages than Regina.

Question 5.
A fraction is greater than \(\frac{1}{4}\) but less than \(\frac{1}{2}\). Its numerator is 1. What is the fraction?
Answer:
Given,
A fraction is greater than \(\frac{1}{4}\) but less than \(\frac{1}{2}\). Its numerator is 1.
The fraction between \(\frac{1}{4}\) and \(\frac{1}{2}\) is \(\frac{1}{3}\)