Into Math Grade 7 Module 4 Answer Key Add and Subtract Rational Numbers

We included HMH Into Math Grade 7 Answer Key PDF Module 4 Add and Subtract Rational Numbers to make students experts in learning maths.

HMH Into Math Grade 7 Module 4 Answer Key Add and Subtract Rational Numbers

Which Sum Does Not Belong?

HMH Into Math Grade 7 Module 4 Answer Key Add and Subtract Rational Numbers 1

At Fun Times Pizza, customers can order a pizza in the shapes shown below.

Each diagram shows a sum of two rational numbers that represent combinations of pizza slices. Write an addition equation for the sum that is shown in the shaded part of each diagram.
HMH Into Math Grade 7 Module 4 Answer Key Add and Subtract Rational Numbers 2

Turn and Talk
Which of the sums do you think does not belong with the others? Justify your answer.
Answer:
HMH-Into-Math-Grade-7-Module-4-Answer-Key-Add-and-Subtract-Rational-Numbers-2

Are You Ready?

Complete these problems to review prior concepts and skills you will need for this module.

Add and Subtract Fractions and Decimals

Find the sum or difference.

Question 1.
8.04 + 4.15
________
Answer:
The sum of two decimal numbers
8.04 + 4.15 = 12.19

Question 2.
9.1 + 12.98
________
Answer:
The sum of two decimal numbers
9.1 + 12.98 = 22.08

Question 3.
88.4 – 39.75
________
Answer:
The difference of two decimal numbers
88.4 – 39.75 = 48.65

Opposites and Absolute Value

Find the absolute value.

Question 4.
|-48|
________
Answer:
The absolute value of a negative number will be always a non-negative number.
|-48| = 48

Question 5.
|15|
________
Answer:
The absolute value of a negative or positive number will be always a non-negative number.
|15| = 15

Question 6.
|-150|
________
Answer:
The absolute value of a negative number will be always a non-negative number.
|-150| = 150

Add and Subtract on a Number Line

Use the number line to help find each sum or difference.

HMH Into Math Grade 7 Module 4 Answer Key Add and Subtract Rational Numbers 3

Question 7.
-1.2 + 2.0
________
Answer:
-1.2 + 2.0 = 0.8
HMH-Into-Math-Grade-7-Module-4-Answer-Key-Add-and-Subtract-Rational-Numbers-3

Question 8.
1.0 – 1.2
________
Answer:
1.0 – 1.2 = -0.2
HMH-Into-Math-Grade-7-Module-4-Answer-Key-Add-and-Subtract-Rational-Numbers-3

Question 9.
-0.3 – 1.7
________
Answer:
-0.3 – 1.7 = -2.0 = -2
HMH-Into-Math-Grade-7-Module-4-Answer-Key-Add-and-Subtract-Rational-Numbers-3

Add and Subtract on a Number Line

Use the number line to help find each sum or difference.

HMH Into Math Grade 7 Module 4 Answer Key Add and Subtract Rational Numbers 4

Question 10.
–\(\frac{5}{6}\) + \(\frac{2}{6}\)
__________
Answer:
–\(\frac{5}{6}\) + \(\frac{2}{6}\)
The denominator of both the fractions are the same so we have to subtract the numerators.
–\(\frac{5}{6}\) + \(\frac{2}{6}\) = –\(\frac{3}{6}\) = –\(\frac{1}{2}\)
HMH-Into-Math-Grade-7-Module-4-Answer-Key-Add-and-Subtract-Rational-Numbers-4

Question 11.
1\(\frac{1}{6}\) – \(\frac{2}{3}\)
__________
Answer:
1\(\frac{1}{6}\) – \(\frac{2}{3}\)
Rewrite the equation
1 + \(\frac{1}{6}\) – \(\frac{2}{3}\)
\(\frac{1}{6}\) – \(\frac{2}{3}\) = –\(\frac{3}{6}\)
1 – \(\frac{3}{6}\) = 1 – \(\frac{1}{2}\) = \(\frac{1}{2}\)
HMH-Into-Math-Grade-7-Module-4-Answer-Key-Add-and-Subtract-Rational-Numbers-4

Question 12.
\(\frac{5}{3}\) – 3\(\frac{1}{6}\)
__________
Answer:
\(\frac{5}{3}\) – 3\(\frac{1}{6}\)
Rewrite the equation
\(\frac{5}{3}\) – 3 – \(\frac{1}{6}\)
\(\frac{5}{3}\) – \(\frac{1}{6}\)
LCD of 3 and 6 is 6.
\(\frac{5}{3}\) – \(\frac{1}{6}\) = \(\frac{10}{6}\) – \(\frac{1}{6}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\) = 1\(\frac{1}{2}\)
-3 + 1 + \(\frac{1}{2}\) = -2 + \(\frac{1}{2}\) = -1\(\frac{1}{2}\)

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