Question

Janette will label the numbers −376, −6.7, −627, −6.16 on the number line below. What number is closer to -7?

a) -6.7
b) -6.16
c) -376
d) -627

Answer 1

To determine which number is closer to -7, we can calculate the absolute value of the difference between each number and -7. The number with the smaller absolute difference will be closer to -7. In this case, -6.7 is closer to -7.

Step-by-step explanation:

To determine which number is closer to -7, we can calculate the absolute value of the difference between each number and -7. The number with the smaller absolute difference will be closer to -7. Let's calculate:

Absolute difference between -6.7 and -7: |-6.7 - (-7)| = |-6.7 + 7| = 0.3

Absolute difference between -6.16 and -7: |-6.16 - (-7)| = |-6.16 + 7| = 0.84

Absolute difference between -376 and -7: |-376 - (-7)| = |-376 + 7| = 383

Absolute difference between -627 and -7: |-627 - (-7)| = |-627 + 7| = 634

Comparing the absolute differences, we can see that -6.7 has the smallest absolute difference from -7, so the number -6.7 is closer to -7.