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Answer :
To solve the problem of figuring out which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], we need to evaluate the division:
1. Calculate the value of [tex]\(5.8 \div 1.15\)[/tex], which gives us approximately [tex]\(5.0435\)[/tex].
2. Now let's evaluate each option to see which one is also approximately [tex]\(5.0435\)[/tex]:
- Option 1: [tex]\(0.58 \div 115\)[/tex] gives approximately [tex]\(0.00504\)[/tex].
- Option 2: [tex]\(5.8 \div 115\)[/tex] gives approximately [tex]\(0.05043\)[/tex].
- Option 3: [tex]\(58 \div 115\)[/tex] gives approximately [tex]\(0.5043\)[/tex].
- Option 4: [tex]\(580 \div 115\)[/tex] gives approximately [tex]\(5.0435\)[/tex].
3. Compare the results. The expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex] because they both result in approximately [tex]\(5.0435\)[/tex].
Therefore, the expression equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
1. Calculate the value of [tex]\(5.8 \div 1.15\)[/tex], which gives us approximately [tex]\(5.0435\)[/tex].
2. Now let's evaluate each option to see which one is also approximately [tex]\(5.0435\)[/tex]:
- Option 1: [tex]\(0.58 \div 115\)[/tex] gives approximately [tex]\(0.00504\)[/tex].
- Option 2: [tex]\(5.8 \div 115\)[/tex] gives approximately [tex]\(0.05043\)[/tex].
- Option 3: [tex]\(58 \div 115\)[/tex] gives approximately [tex]\(0.5043\)[/tex].
- Option 4: [tex]\(580 \div 115\)[/tex] gives approximately [tex]\(5.0435\)[/tex].
3. Compare the results. The expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex] because they both result in approximately [tex]\(5.0435\)[/tex].
Therefore, the expression equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
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