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Answer :
Let's solve the problem of finding which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
1. Calculate [tex]\(5.8 \div 1.15\)[/tex]:
- When we divide 5.8 by 1.15, the result is approximately 5.0435.
2. Evaluate each given expression:
- Option 1: [tex]\(0.58 \div 115\)[/tex]
- Dividing 0.58 by 115 results in approximately 0.0050435.
- Option 2: [tex]\(5.8 \div 115\)[/tex]
- Dividing 5.8 by 115 results in approximately 0.050435.
- Option 3: [tex]\(58 \div 115\)[/tex]
- Dividing 58 by 115 results in approximately 0.504348.
- Option 4: [tex]\(580 \div 115\)[/tex]
- Dividing 580 by 115 results in approximately 5.0435.
3. Determine which option is equivalent:
- Comparing the results, we see that [tex]\(580 \div 115\)[/tex] is approximately 5.0435, which is the same as the result of [tex]\(5.8 \div 1.15\)[/tex].
Therefore, the expression that is equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
1. Calculate [tex]\(5.8 \div 1.15\)[/tex]:
- When we divide 5.8 by 1.15, the result is approximately 5.0435.
2. Evaluate each given expression:
- Option 1: [tex]\(0.58 \div 115\)[/tex]
- Dividing 0.58 by 115 results in approximately 0.0050435.
- Option 2: [tex]\(5.8 \div 115\)[/tex]
- Dividing 5.8 by 115 results in approximately 0.050435.
- Option 3: [tex]\(58 \div 115\)[/tex]
- Dividing 58 by 115 results in approximately 0.504348.
- Option 4: [tex]\(580 \div 115\)[/tex]
- Dividing 580 by 115 results in approximately 5.0435.
3. Determine which option is equivalent:
- Comparing the results, we see that [tex]\(580 \div 115\)[/tex] is approximately 5.0435, which is the same as the result of [tex]\(5.8 \div 1.15\)[/tex].
Therefore, the expression that is equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
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