Answer :
Let's figure out which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
Step 1: Calculate [tex]\(5.8 \div 1.15\)[/tex]
First, we need to compute the division of [tex]\(5.8\)[/tex] by [tex]\(1.15\)[/tex]. This operation finds how many times [tex]\(1.15\)[/tex] fits into [tex]\(5.8\)[/tex].
Step 2: Evaluate each given expression.
Now, we'll evaluate each option to see which one matches the result of [tex]\(5.8 \div 1.15\)[/tex].
Option 1: [tex]\(0.58 \div 115\)[/tex]
- This involves dividing a much smaller number by a much larger number.
Option 2: [tex]\(5.8 \div 115\)[/tex]
- This involves dividing [tex]\(5.8\)[/tex] by a very large number.
Option 3: [tex]\(58 \div 115\)[/tex]
- This involves dividing [tex]\(58\)[/tex] by [tex]\(115\)[/tex], which is simplifying the division in a different way.
Option 4: [tex]\(580 \div 115\)[/tex]
- This involves dividing [tex]\(580\)[/tex] by [tex]\(115\)[/tex], rescaling the division without changing the relationship between the numbers, as both numbers were increased by a factor of 10 compared to the original problem.
Step 3: Determine the equivalent expression
Through evaluation, we find that Option 4: [tex]\(580 \div 115\)[/tex] provides the same result as the division of [tex]\(5.8\)[/tex] by [tex]\(1.15\)[/tex].
Therefore, the expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
Step 1: Calculate [tex]\(5.8 \div 1.15\)[/tex]
First, we need to compute the division of [tex]\(5.8\)[/tex] by [tex]\(1.15\)[/tex]. This operation finds how many times [tex]\(1.15\)[/tex] fits into [tex]\(5.8\)[/tex].
Step 2: Evaluate each given expression.
Now, we'll evaluate each option to see which one matches the result of [tex]\(5.8 \div 1.15\)[/tex].
Option 1: [tex]\(0.58 \div 115\)[/tex]
- This involves dividing a much smaller number by a much larger number.
Option 2: [tex]\(5.8 \div 115\)[/tex]
- This involves dividing [tex]\(5.8\)[/tex] by a very large number.
Option 3: [tex]\(58 \div 115\)[/tex]
- This involves dividing [tex]\(58\)[/tex] by [tex]\(115\)[/tex], which is simplifying the division in a different way.
Option 4: [tex]\(580 \div 115\)[/tex]
- This involves dividing [tex]\(580\)[/tex] by [tex]\(115\)[/tex], rescaling the division without changing the relationship between the numbers, as both numbers were increased by a factor of 10 compared to the original problem.
Step 3: Determine the equivalent expression
Through evaluation, we find that Option 4: [tex]\(580 \div 115\)[/tex] provides the same result as the division of [tex]\(5.8\)[/tex] by [tex]\(1.15\)[/tex].
Therefore, the expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
