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Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 3 Adding and Subtracting Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 3 Adding and Subtracting Fractions

Add or Subtract

Write your answers in simplest form.

Question 1.
\(\frac{4}{12}\) + \(\frac{4}{12}\) = ___________
Answer:
The Denominators of the given fractions are same so add the numerators.
4/12 + 4/12 = 8/12 = 2/3.

Question 2.
\(\frac{4}{5}\) – \(\frac{2}{5}\) = ____________
Answer:
The Denominators of the given fractions are same so Subtract the numerators.
4/5 – 2/5 = 4-2/5 = 2/5.

Question 3.
\(\frac{6}{10}\) + \(\frac{2}{10}\) = _____________
Answer:
The Denominators of the given fractions are same so add the numerators.
6/10 + 2/10
= 6 + 2/10
= 8/10
= 4/5.

Question 4.
\(\frac{2}{4}\) + \(\frac{1}{4}\) = _____________
Answer:
The Denominators of the given fractions are same so add the numerators.
2/4 + 1/4 = 2+1/4
= 3/4.

Question 5.
\(\frac{4}{7}\) – \(\frac{1}{7}\) = ______________
Answer:
The Denominators of the given fractions are same so subtract the numerators.
4/7 – 1/7
= 4-1/7
= 5/7.

Question 6.
\(\frac{2}{8}\) + \(\frac{5}{8}\) = ______________
Answer:
The Denominators of the given fractions are same so add the numerators.
2/8 + 5/8
= 5 + 2/8
= 7/8

Question 7.
\(\frac{3}{5}\) + \(\frac{1}{5}\) = ______________
Answer:
The Denominators of the given fractions are same so add the numerators.
3/5 + 1/5
= 3+1/5
= 4/5

Question 8.
\(\frac{6}{9}\) + \(\frac{2}{9}\) = _______________
Answer:
The Denominators of the given fractions are same so add the numerators.
6/9 + 2/9
= 6 + 2/9
= 8/9

Question 9.
\(\frac{1}{11}\) + \(\frac{1}{11}\) = _______________
Answer:
The Denominators of the given fractions are same so add the numerators.
1/11 + 1/11
= 1 + 1/11
= 2/11

Question 10.
Steve, Gabe, and Lena are decorating a wall. Steve decorates \(\frac{3}{7}\) of the wall, Gabe decorates \(\frac{1}{7}\), and Lena decorates \(\frac{3}{7}\). How much more of the wall do they have to decorate?
Answer:
Steve decorates \(\frac{3}{7}\) of the wall.
Gabe decorates \(\frac{1}{7}\) of the wall.
Lena decorates \(\frac{3}{7}\) of the wall.
The Denominators of the given fractions are same so add the numerators.
3/7 + 1/7 + 3/7 = 3+3+1/7
= 7/7 = 1
They have decorating 1 of the wall.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 4 Mixed Numbers and Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 4 Mixed Numbers and Fractions

Write

Write each fraction or mixed number as a sum of fractions. (Hint: There may be more than one correct answer for each.)

Question 1.
\(\frac{4}{5}\) = _____________
Answer:
\(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\)

Question 2.
1\(\frac{2}{3}\) = _____________
Answer:
Given that,
1 x (2/3) is a mixed fraction
The sum of the fractions of 1 x (2/3) = 1 x (1/3) + (1/3).

Question 3.
\(\frac{6}{3}\) = _____________
Answer:
Given that,
6/3 is a fraction.
The sum of the fractions of 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Question 4.
1\(\frac{3}{5}\) = ____________
Answer:
Given that,
1 x (3/5) is a mixed fraction
The sum of the fractions of 1 x (3/5) = 1 x (1/5) + (1/5) + (1/5).

Question 5.
2\(\frac{7}{8}\) = _____________
Answer:
Given that,
2 x (7/8) is a mixed fraction.
The sum of the fractions of 2 x (7/8) is 1 x (7/8) + 1 x (7/8).

Question 6.
Write 3\(\frac{4}{2}\) as a sum of fractions.
Answer:
Given that,
3 x (4/2) is the mixed fraction.
The sum of the fractions of 3 x (4/2) = 3 x 1/2 + 1/2 + 1/2 + 1/2.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 1 Denominators 10 and 100 to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 1 Denominators 10 and 100

Multiply or Divide

Multiply by 10 to find an equivalent fraction. Draw pictures if you need help.

Question 1.
\(\frac{2}{10}\) = ____________
Answer:
\(\frac{2}{10}\) × \(\frac{10}{10}\) = \(\frac{20}{100}\)
So, the equivalent fraction of \(\frac{2}{10}\) is \(\frac{20}{100}\)

Question 2.
\(\frac{4}{10}\) = _____________
Answer:
\(\frac{4}{10}\) × \(\frac{10}{10}\) = \(\frac{40}{100}\)
So, the equivalent fraction of \(\frac{4}{10}\) is \(\frac{40}{100}\)

Question 3.
\(\frac{1}{10}\) = ______________
Answer:
\(\frac{1}{10}\) × \(\frac{10}{10}\) = \(\frac{10}{100}\)
So, the equivalent fraction of \(\frac{1}{10}\) is \(\frac{10}{100}\)

Divide by 10 to find an equivalent fraction for each. Draw pictures if you need help.

Question 4.
\(\frac{50}{100}\) = ______________
Answer:
\(\frac{50}{100}\) ÷ \(\frac{10}{10}\) = \(\frac{5}{10}\)
So, the equivalent fraction of \(\frac{50}{100}\) is \(\frac{5}{10}\)

Question 5.
\(\frac{40}{100}\) = _____________
Answer:
\(\frac{40}{100}\) ÷ \(\frac{10}{10}\) = \(\frac{4}{10}\)
So, the equivalent fraction of \(\frac{40}{100}\) is \(\frac{4}{10}\)

Question 6.
\(\frac{10}{100}\) = ______________
Answer:
\(\frac{10}{100}\) ÷ \(\frac{10}{10}\) = \(\frac{1}{10}\)
So, the equivalent fraction of \(\frac{10}{100}\) is \(\frac{1}{10}\)

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 2 Adding Fractions with Denominators 10 and 100 to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 2 Adding Fractions with Denominators 10 and 100

Add

Question 1.
\(\frac{3}{10}\) + \(\frac{3}{10}\) = _____________
Answer:
The denominator of both the fractions are same. So we have to add the numerators.
\(\frac{3}{10}\) + \(\frac{3}{10}\) = \(\frac{6}{10}\)

Question 2.
\(\frac{50}{100}\) + \(\frac{20}{100}\) = ______________
Answer:
The denominator of both the fractions are same. So we have to add the numerators.
\(\frac{50}{100}\) + \(\frac{20}{100}\) = \(\frac{70}{100}\)

Question 3.
\(\frac{6}{10}\) + \(\frac{2}{10}\) = _______________
Answer:
The denominator of both the fractions are same. So we have to add the numerators.
\(\frac{6}{10}\) + \(\frac{2}{10}\) = \(\frac{8}{10}\)

Question 4.
\(\frac{4}{10}\) + \(\frac{1}{10}\) = _______________
Answer:
The denominator of both the fractions are same. So we have to add the numerators.
\(\frac{4}{10}\) + \(\frac{1}{10}\) = \(\frac{5}{10}\)

Question 5.
\(\frac{21}{100}\) + \(\frac{47}{100}\) = _______________
Answer:
The denominator of both the fractions are same. So we have to add the numerators.
\(\frac{21}{100}\) + \(\frac{47}{100}\) = \(\frac{68}{100}\)

Question 6.
\(\frac{7}{10}\) + \(\frac{3}{10}\) = _______________
Answer:
The denominator of both the fractions are same. So we have to add the numerators.
\(\frac{7}{10}\) + \(\frac{3}{10}\) = \(\frac{10}{10}\) = 1

Question 7.
Draw three squares of equal size. Show \(\frac{8}{10}\) on one square, \(\frac{80}{100}\) on another, and \(\frac{4}{5}\) on the third. Explain what you see.
Answer:
\(\frac{8}{10}\) = \(\frac{4}{5}\)
\(\frac{80}{100}\) = \(\frac{4}{5}\)

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 3 Fractions as Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 3 Fractions as Decimals

Convert

Write each fraction or mixed number as a decimal.

Question 1.
\(\frac{1}{2}\) = _____________
Answer:
\(\frac{1}{2}\) in the decimal form can be written as 0.5

Question 2.
\(\frac{2}{10}\) = _____________
Answer:
\(\frac{2}{10}\) = \(\frac{1}{5}\) = 0.2
\(\frac{2}{10}\) in the decimal form can be written as 0.2

Question 3.
2\(\frac{9}{10}\) = ______________
Answer:
2\(\frac{9}{10}\) = \(\frac{29}{10}\) = 2.9
2\(\frac{9}{10}\) in the decimal form can be written as 2.9

Question 4.
\(\frac{63}{100}\) = _______________
Answer:
\(\frac{63}{100}\) = 0.63
\(\frac{63}{100}\) in the decimal form can be written as 0.63

Question 5.
3\(\frac{71}{100}\) = _____________
Answer:
3\(\frac{71}{100}\) = \(\frac{371}{100}\)
\(\frac{371}{100}\) in the decimal form can be written as 3.71

Question 6.
5\(\frac{87}{100}\) = ______________
Answer:
5\(\frac{87}{100}\) = \(\frac{587}{100}\)
\(\frac{587}{100}\) in the decimal form can be written as 5.87

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 4 Decimals and Fractions on a Number Line to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 4 Decimals and Fractions on a Number Line

Plot

Plot each decimal point or fraction on the number line provided.

Question 1.
Plot \(\frac{1}{2}\) on the number line. Label it A.
Answer:
\(\frac{1}{2}\) = 0.5

Question 2.
Plot 0.30 on the number line. Label it B.
Answer:

Question 3.
Plot \(\frac{8}{10}\) on the number line. Label it C.
Answer:
\(\frac{8}{10}\) = 0.8

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 5 Place Value of Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 5 Place Value of Decimals

Identify

Write the value of each underlined digit.

Question 1.
2.97
Answer:
The place value of underlined digit 7 is 7 hundredths

Question 2.
0.32
Answer:
The place value of underlined digit 3 is 3 tenths.

Question 3.
0.24
Answer:
The place value of underlined digit 4 is 4 hundredths

Question 4.
0.90
Answer:
The place value of underlined digit 0 is 0 hundredths

Question 5.
4.73
Answer:
The place value of underlined digit 4 is the whole number 4.

Question 6.
7.38
Answer:
The place value of underlined digit 3 is 3 tenths.

Question 7.
9.12
Answer:
The place value of underlined digit 2 is 2 hundredths

Question 8.
8.91
Answer:
The place value of underlined digit 9 is 9 tenths.

Question 9.
3.55
Answer:
The place value of underlined digit 3 is the whole number 3.

Question 10.
Write a number with 5 digits. Use 7 in the hundreds place, 9 in the ones place, and 2 in the hundredths place. Remember to use a decimal point in your number.
Answer:
Use 7 in the hundreds place, 9 in the ones place, and 2 in the hundredths place.
10000 + 5000 + 700 + 9 + 0.02 = 15709.02
So, the 5 digit would be 15709.02

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 6 Comparing Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 6 Comparing Decimals

Compare

Compare each pair of decimal numbers. Write <, >, or = for each.

Question 1.
0.04 ___________ 0.06
Answer:
0.04 is less than 0.06
0.04 < 0.06

Question 2.
0.37 _________ 0.23
Answer:
0.37 is greater than 0.23
0.37 > 0.23

Question 3.
0.55 _________ 0.52
Answer:
0.55 is greater than 0.52
0.55 > 0.52

Question 4.
6.12 ___________ 6.19
Answer:
6.12 is less than 6.19
6.12 < 6.19

Question 5.
8.08 ___________ 8.08
Answer:
8.08 is equal to 8.08
8.08 = 8.08

Question 6.
5.3 ____________ 5.23
Answer:
5.30 is greater than 5.23
5.3 > 5.23

Question 7.
A blue jay has a wingspan of 14.5 inches. A robin has a wingspan of 14.42 inches. Which bird has the greater wingspan?
Answer:
Given,
A blue jay has a wingspan of 14.5 inches.
A robin has a wingspan of 14.42 inches.
14.50 is greater than 14.42
Blue Jay has a greater wingspan than robin.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 7 Valid Comparisons to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 7 Valid Comparisons

Solve

Question 1.
Greg hiked a trail that is 3.48 miles long. George hiked a trail that is 2.97 miles long. Greg says he hiked farther than George. Is he correct? Why or why not?
Answer:
Given,
Greg hiked a trail that is 3.48 miles long. George hiked a trail that is 2.97 miles long.
3.48 > 2.97
Greg hiked farther than George.

Question 2.
Karen studied 0.85 hours for a test. Seina studied 0.51 days for the same test. Who studied longer? How do you know?
Answer:
Given,
Karen studied 0.85 hours for a test. Seina studied 0.51 days for the same test.
0.85 hours < 0.51 days
Therefore Seina studied longer than Karen.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 8 Decimals and Money to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 8 Decimals and Money

Solve

Write the amount with a dollar sign and decimal point.

Question 1.
3 dollars + 6 dimes + 2 pennies
Answer:
1 dime = $0.1
1 penny = 0.01
$3 + $0.60 + $0.02 = $3.62

Question 2.
7 dollars + 4 dimes + 8 pennies
Answer:
1 dime = $0.1
1 penny = 0.01
$7 + $0.40 + $0.08 = $7.48

Question 3.
6 dollars + 5 dimes
Answer:
1 dime = $0.1
$6 + $0.10 = $6.10

Question 4.
8 dollars + 3 pennies
Answer:
1 penny = 0.01
$8 + $0.03 = $8.03

Question 5.
A store has socks for $5.23. How would you use dollars, dimes, and pennies to buy socks?
Answer:
A store has socks for $5.23.
5 + 0.2 + 0.03 = 5.23
You use 5 dollars, 2 dimes and 3 pennies to buy socks.

Question 6.
Sanjay has 55 pennies. Marcus has 6 dimes. Who has more money?
Answer:
Sanjay has 55 pennies. Marcus has 6 dimes.
55 pennies = $0.55
6 dimes = $0.6
0.55 < 0.60
Marcus has more money.