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

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.

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
________
The sum of two decimal numbers
8.04 + 4.15 = 12.19

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

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

Opposites and Absolute Value

Find the absolute value.

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

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

Question 6.
|-150|
________
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
________
-1.2 + 2.0 = 0.8

Question 8.
1.0 – 1.2
________
1.0 – 1.2 = -0.2

Question 9.
-0.3 – 1.7
________
-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.
–$$\frac{5}{6}$$ + $$\frac{2}{6}$$
__________
–$$\frac{5}{6}$$ + $$\frac{2}{6}$$
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$$\frac{1}{6}$$ – $$\frac{2}{3}$$
__________
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$$\frac{1}{6}$$
__________
$$\frac{5}{3}$$ – 3$$\frac{1}{6}$$
$$\frac{5}{3}$$ – 3 – $$\frac{1}{6}$$
$$\frac{5}{3}$$ – $$\frac{1}{6}$$
$$\frac{5}{3}$$ – $$\frac{1}{6}$$ = $$\frac{10}{6}$$ – $$\frac{1}{6}$$ = $$\frac{9}{6}$$ = $$\frac{3}{2}$$ = 1$$\frac{1}{2}$$
-3 + 1 + $$\frac{1}{2}$$ = -2 + $$\frac{1}{2}$$ = -1$$\frac{1}{2}$$