High School

Marla will correctly label the numbers [tex]57.6, 57 \frac{1}{2}, 57.07[/tex], and [tex]57 \frac{2}{5}[/tex] on the number line below.

Which number will be located closest to [tex]58[/tex]?

A. [tex]57 \frac{1}{2}[/tex]

B. [tex]57.6[/tex]

C. [tex]57.07[/tex]

D. [tex]57 \frac{2}{5}[/tex]

Answer :

To determine which number is closest to 58, let's compare the numbers we have:

1. Convert fractions to decimals:
- [tex]\( 57 \frac{1}{2} \)[/tex] is equal to [tex]\( 57 + 0.5 = 57.5 \)[/tex].
- [tex]\( 57 \frac{2}{5} \)[/tex] is equal to [tex]\( 57 + 0.4 = 57.4 \)[/tex].

Now we have the numbers:
- 57.5
- 57.6
- 57.07
- 57.4

2. Calculate the difference between each number and 58:
- The difference for [tex]\( 57.5 \)[/tex]: [tex]\( 58 - 57.5 = 0.5 \)[/tex]
- The difference for [tex]\( 57.6 \)[/tex]: [tex]\( 58 - 57.6 = 0.4 \)[/tex]
- The difference for [tex]\( 57.07 \)[/tex]: [tex]\( 58 - 57.07 = 0.93 \)[/tex]
- The difference for [tex]\( 57.4 \)[/tex]: [tex]\( 58 - 57.4 = 0.6 \)[/tex]

3. Compare the differences:
- 57.5: difference is 0.5
- 57.6: difference is 0.4
- 57.07: difference is 0.93
- 57.4: difference is 0.6

The smallest difference is 0.4, which corresponds to the number 57.6.

Therefore, the number closest to 58 is B) 57.6.

Other Questions