High School

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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 solve the problem of finding which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], let's go through each option step-by-step:

1. Evaluate the original expression:
[tex]\[
5.8 \div 1.15
\][/tex]

When you divide 5.8 by 1.15, you get 5.043478260869565, which is approximately 5.04.

2. Check each of the given expressions:

- Option 1: [tex]\(0.58 \div 115\)[/tex]
[tex]\[
0.58 \div 115
\][/tex]
This equals approximately 0.00504, which is not equal to 5.04.

- Option 2: [tex]\(5.8 \div 115\)[/tex]
[tex]\[
5.8 \div 115
\][/tex]
This equals approximately 0.0504, which is also not equal to 5.04.

- Option 3: [tex]\(58 \div 115\)[/tex]
[tex]\[
58 \div 115
\][/tex]
This equals approximately 0.504, which again is not equal to 5.04.

- Option 4: [tex]\(580 \div 115\)[/tex]
[tex]\[
580 \div 115
\][/tex]
This equals approximately 5.043478260869565, which matches the original result of [tex]\(5.8 \div 1.15\)[/tex].

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

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