Question

Choose the number line that correctly compares 24 and 4.256

a) 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0
b) 4.256
c) 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0
d) 4.256
e) 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0

Answer 1

The correct number line that compares 24 and 4.256 is option (c).

Step-by-step explanation:

In option (c), the number line spans from 4.0 to 5.0, and 4.256 falls within this range. To verify this, we can observe that 4.256 is greater than 4.2 and less than 4.3 on the number line. Therefore, option (c) accurately represents the comparison between 24 and 4.256.

In the given number line options, each tick represents an increment of 0.1. Let's break down the reasoning:

- The range of numbers between 4.2 and 4.3 includes 4.256.

- The number 4.256 is greater than 4.2.

- It is also less than 4.3.

- Therefore, option (c) is the correct representation of the relationship between 24 and 4.256.

In summary, by examining the placement of 4.256 on the number line and comparing it to the surrounding values, we can confidently conclude that option (c) is the accurate representation of the comparison between 24 and 4.256.