Interpret Sums of Rational Numbers

What is the location of the sum of 11 + (−5) with respect to 11 on a number line?

• 5 units in the negative direction

• 5 units in the positive direction

• 11 units in the negative direction

• 11 units in the positive direction

Which sum does the number line represent?

• −11 + (−9)

• −11 + 9

• −11 + (−2)

• −11 + 2

On a number line, which of the following sums is located to the left of the first number in the sum? Select the two correct answers.

• −9 + 1

• −1/4 + 3/2

• 7/2 + (−3/4)

• 15 + (−8)

• −2 + 6

An earned run average (ERA) in baseball is the average number of earned runs a pitcher gives up per 9 innings. One year, a professional baseball pitcher had a 3.91 ERA. His ERA was 0.74 points lower the next year. What is the new ERA?

• 3.17

• 3.91

• 4.65

• 3.21

How far from home is Jayce? Write an expression that describes this situation.

A point that represents the sum -11 + 6 is plotted on a number line oriented from left to right. Which statement is true?

• -11 + 6 is plotted 6 units to the left of 6

• -11 + 6 is plotted 6 units to the left of -11

• -11 + 6 is plotted 6 units to the right of 6

• -11 + 6 is plotted 6 units to the right of -11

Fill in the blanks with answers from the list to correctly complete the sentence. The sum 5 + (−5) is located _______ units to the _______ of 5 on a number line oriented from left to right.

• 0, left
• 0, right

• 10, left

• 10, right

Which situation could describe the sum -$235.75 + $150.50? Fill in the blanks with answers from the list to correctly complete the sentence. Jai’s credit card balance was _______. He then made a payment of _______.

• Jai’s credit card balance was (-$235.75). He then made a payment of $150.50.

• Jai’s credit card balance was (-$253.75). He then made a payment of -$150.50

• Jai’s credit card balance was (-$150.50). He then made a payment of $253.75

• Jai’s credit card balance was (-$235.75). He then made a payment of $253.75.

Fill in the blanks with answers from the list to correctly complete the sentences. The sum 1.4 + 9.2 is located _______ units to the _______ of 1.4 on a number line oriented from left to right.

• The sum 1.4 + 9.2 is located 9.2 units to the right of 1.4 on a number line oriented from left to right.

• The sum 1.4 + 9.2 is located 1.4 units to the left of 1.4 on a number line oriented from left to right.

• The sum 1.4 + 9.2 is located 0 units to the right of 1.4 on a number line oriented from left to right.

• The sum 1.4 + 9.2 is located 9.2 units to the left of 1.4 on a number line oriented from left to right.

Which statement matches the expression 17 + (-10)

• 7 units to the left of -5

• 7 units to the right of -5

• 10 units to the left of 17

• 10 units to the right of 17