College

Which of these expressions is equivalent to [tex]$5.8 \div 1.15$[/tex]?

A. [tex]$0.58 \div 115$[/tex]

B. [tex]$5.8 \div 115$[/tex]

C. [tex]$58 \div 115$[/tex]

D. [tex]$580 \div 115$[/tex]

Answer :

To find which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], let's go through each given option:

1. Calculate the original expression:

[tex]\[
5.8 \div 1.15 = 5.043478260869565
\][/tex]

2. Evaluate each given expression:

- Option [tex]\(0.58 \div 115\)[/tex]:

[tex]\[
0.58 \div 115 = 0.005043478260869565
\][/tex]

- Option [tex]\(5.8 \div 115\)[/tex]:

[tex]\[
5.8 \div 115 = 0.050434782608695654
\][/tex]

- Option [tex]\(58 \div 115\)[/tex]:

[tex]\[
58 \div 115 = 0.5043478260869565
\][/tex]

- Option [tex]\(580 \div 115\)[/tex]:

[tex]\[
580 \div 115 = 5.043478260869565
\][/tex]

3. Compare the results:

We see that the result of [tex]\(580 \div 115\)[/tex] is [tex]\(5.043478260869565\)[/tex], which matches the original expression's result of [tex]\(5.8 \div 1.15\)[/tex].

Therefore, the expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].