Question

selected response
circle the choice that best completes the statement or answers the question.

1. write the addition statement that this number line represents.

number line image with +0.8, 0.9, 1, 1.7, 2
a. 0.9 + 1.7 = 2.6
b. 1.7 + (-0.8) = 0.9
c. 0.9 + 0.8 = 1.7
d. 1.7 + (-0.9) = 0.8

1. write the addition statement that this number line represents.

number line image with -1.1, -2.4, -2, -1.3, -1
a. -1.3 + 2.4 = -1.1
b. -2.4 + (-1.1) = -1.3
c. -1.3 + (-1.1) = -2.4
d. -2.4 + 1.1 = -1.3

1. determine this sum.

(-2.9) + (-6.1)
a. -9.0
b. 3.2
c. -3.2
d. 9.0

1. estimate to determine which sum is greater than 0.

i) 5.5 + (-7.9)
ii) -1.1 + (-1.8)
iii) -3.2 + 3.8
iv) -3.8 + 2.6
a. ii
b. i
c. iii
d. iv

Explanation:

Question 1

Step1: Analyze the number line

The starting point is 0.9, and we move +0.8 (to the right). So the addition should be \( 0.9 + 0.8 \).

Step2: Calculate the result

\( 0.9 + 0.8 = 1.7 \), which matches option C.

Step1: Analyze the number line

The starting point is -1.3, and we move -1.1 (to the left, since it's negative). So the addition is \( -1.3 + (-1.1) \).

Step2: Calculate the result

\( -1.3 + (-1.1) = -2.4 \), which matches option C.

Step1: Recall the rule for adding two negative numbers

When adding two negative numbers, we add their absolute values and keep the negative sign. So \( (-2.9) + (-6.1) = -(2.9 + 6.1) \).

Step2: Calculate the sum of absolute values

\( 2.9 + 6.1 = 9.0 \), so the result is \( -9.0 \), which matches option A.

Answer:

C. \( 0.9 + 0.8 = 1.7 \)

Question 2