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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 \(\frac{1}{3}\)

Excel in your academics by accessing McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Test existing for free of cost.

McGraw-Hill Math Grade 3 Chapter 8 Test Answer Key

What fraction of each shape is colored? Write the fraction.

Question 1.

Answer:
The name of the shape is a triangle.
It is divided into three equal parts. The name of the shaded fraction is one-third.

Question 2.

Answer:
The name of the shape is a rectangle.
It is divided into six equal parts. The name of the shaded fraction is half.
3/6 = 1/2

Question 3.

Answer:
The name of the shape is a circle.
It is divided into two equal parts. The name of the shaded fraction is half.

Shade part of the set to show the fraction.

Question 4.

\(\frac{2}{3}\) are shaded
Answer:

Question 5.

\(\frac{1}{4}\) is shaded
Answer:

Question 6.

\(\frac{3}{8}\) are shaded
Answer:

Use the information on the number line to answer the question.

Question 7.
Erik hikes I mile along a nature trail. He sees birds along the way. He stops \(\frac{1}{4}\) of the way through the trail. What color bird does Erik see?
Label the number line with the correct number of equal parts. Then draw a dot where Erik stops.
Answer:
Given,
Erik hikes I mile along a nature trail. He sees birds along the way.
He stops \(\frac{1}{4}\) of the way through the trail.

Write the missing fractions in the boxes.

Question 8.

Answer:

Question 9.

Answer:

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

Question 10.

\(\frac{1}{2}\) and \(\frac{2}{4}\)
_____________ equivalent
_____________ not equivalent
Answer:
\(\frac{1}{2}\) and \(\frac{2}{4}\) are equivalent fractions

Question 11.

\(\frac{2}{6}\) and \(\frac{3}{8}\)
_____________ equivalent
_____________ not equivalent
Answer:
\(\frac{2}{6}\) and \(\frac{3}{8}\) are not equivalent fractions.

Write 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 12.
\(\frac{4}{1}\) \(\frac{2}{4}\) \(\frac{1}{4}\) __________ = ___________
Answer: \(\frac{4}{1}\) \(\frac{2}{4}\) \(\frac{1}{4}\) \(\frac{3}{4}\) = 4

Question 13.
\(\frac{1}{3}\) \(\frac{2}{3}\) \(\frac{3}{3}\) ____________ = ____________
Answer: 1

Complete the fraction in each number sentence.

Question 14.
1 = \(\frac{}{2}\)
Answer: 1 = \(\frac{2}{2}\)

Question 15.
1 = \(\frac{8}{}\)
Answer: 1 = \(\frac{8}{8}\)

Question 16.
6 = \(\frac{}{1}\)
Answer: 6 = \(\frac{6}{1}\)

Question 17.
2 = \(\frac{2}{}\)
Answer: 2 = \(\frac{2}{1}\)

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

Question 18.

\(\frac{1}{8}\) \(\frac{1}{8}\)
Answer: \(\frac{1}{8}\) = \(\frac{1}{8}\)

Question 19.

\(\frac{2}{3}\) \(\frac{2}{6}\)
Answer: \(\frac{2}{3}\) > \(\frac{2}{6}\)

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 9 Lesson 1 Metric Units of Length are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 9 Lesson 1 Metric Units of Length

Solve.
Question 1.
The Museum of Science and Industry in Chicago is about 11.600 meters from The Art Institute of Chicago. How many kilometers apart are the two buildings?
Answer:
Number of kilometers apart are the two buildings = 11.6.

Explanation:
Number of meters The Museum of Science and Industry in Chicago from The Art Institute of Chicago = 11.600.
Conversion:
1 kilometer = 1000 meters.
Number of kilometers apart are the two buildings = Number of meters The Museum of Science and Industry in Chicago from The Art Institute of Chicago ÷ 1000
= 11600 ÷ 1000
= 11.6.

Question 2.
Ms. Lee is 1.7 meters tall. Her daughter is 1.2 meters tall. How much taller is Ms. Lee in centimeters?
Answer:
50 centimeters taller is Ms. Lee than her daughter.

Explanation:
Number of meters tall Ms. Lee = 1.7.
Number of meters tall her daughter = 1.2.
Difference:
Number of meters is Ms. Lee – Number of meters is her daughter
= 1.7 – 1.2
= 0.5.
Conversion:
1 meters = 100 centimeters
=> 0.5 m = 100 × 0.5
=> 50 centimeters.

Question 3.
Doreen wants to put a model boat in a box. The model measures 252 mm tall and 459 mm wide. Can the model fit within a box that measures 28 cm tall and 32 cm wide? How do you know?
Answer:
Yes, the model fits within a box that measures 28 cm tall and 32 cm wide because Length of the box and Width of the box  are more than the model.

Explanation:
Length of model = 252 mm.
Width of model = 459 mm.
Length of the box = 28 cm.
Width of the box = 32 cm.
Conversion:
1 cm = 100 mm.
=> Length of the box  = 100 × 28 = 2800 mm.
=> Width of the box = 100 × 32 = 3200 mm.

Question 4.
An adult blue whale is 25.74 meters long. How long is the blue whale in centimeters?
Answer:
2574 cm is the blue whale in centimeters.

Explanation:
Length of an adult blue whale = 25.74 meters.
Conversion:
1 m = 100 cm.
=> 25.74 m = 100 × 25.74
= 2574 cm.

Question 5.
Ahmad and Eva are practicing for a bike race. Ahmad rode 3.4 km in one day. Eva rode 4.8 km the same day. How much farther did Eva ride in meters?
Answer:
1400 m farther Eva ride in meters.

Explanation:
Number of kilometers Ahmad rode the bike in one day = 3.4.
Number of kilometers Eva rode the bike the same day = 4.8.
Difference:
Number of kilometers Eva rode the bike the same day – Number of kilometers Ahmad rode the bike in one day
= 4.8 – 3.4.
= 1.4.
Conversion:
1 km = 1000 m.
=> 1.4 km = 1000 × 1.4
= 1400 m.

Question 6.
Steven has three crabapple trees in his yard. The height of one measures 610 cm. The second measures 760 cm and the third measures 910 cm. What is the sum of the heights of the trees in meters?
Answer:
22.8 m is the sum of the heights of the trees in meters.

Explanation:
Height of one measures = 610 cm.
Height of second measures =  760 cm.
Height of third measures = 910 cm.
Total height of three crabapple trees  = Height of one measures + Height of second measures + Height of third measures
= 610 cm+ 760 cm + 910 cm
= 1370 cm + 910 cm
= 2280 cm.
Conversion:
1 m = 100 cm.
=> 2280 cm = 2280 ÷ 100
=> 22.8 m.