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 0.9, 1, 1.7, 2 and +0.8 arrow
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 -2.4, -2, -1.3, -1 and -1.1 arrow
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 the jump is +0.8, ending at 1.7. So the addition should be starting value + jump = end value.

Step2: Check options

Option C: \(0.9 + 0.8 = 1.7\) matches the number line (start at 0.9, add 0.8 to get 1.7). Other options don't fit: A adds 0.9 and 1.7, B is a subtraction - like, D is also incorrect.

Step1: Analyze the number line

The starting point is -2.4, and the jump is +1.1 (since moving from -2.4 towards -1.3, the change is \(-1.3 - (-2.4)=1.1\)), ending at -1.3. So the addition is \(-2.4 + 1.1=-1.3\).

Step2: Check options

Option D: \(-2.4 + 1.1 = -1.3\) matches. A: \(-1.3 + 2.4 = 1.1
eq -1.1\), B: adding two negatives would be more negative, C: \(-1.3+(-1.1)=-2.4\) but the direction on the number line is from -2.4 to -1.3 (positive jump), so C is wrong.

Step1: Recall adding 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

\(2.9+6.1 = 9.0\), so \(-(2.9 + 6.1)=-9.0\).

Answer:

C. \(0.9 + 0.8 = 1.7\)

Question 2