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?**

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.

**Turn and Talk**

Which of the sums do you think does not belong with the others? Justify your answer.

Answer:

**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.**

Question 7.

-1.2 + 2.0

________

Answer:

-1.2 + 2.0 = 0.8

Question 8.

1.0 – 1.2

________

Answer:

1.0 – 1.2 = -0.2

Question 9.

-0.3 – 1.7

________

Answer:

-0.3 – 1.7 = -2.0 = -2

**Add and Subtract on a Number Line**

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

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.

–\(\frac{5}{6}\) + \(\frac{2}{6}\) = –\(\frac{3}{6}\) = –\(\frac{1}{2}\)

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 – \(\frac{1}{2}\) = \(\frac{1}{2}\)

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\(\frac{1}{2}\)