Answer :
To solve the question of which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], we need to evaluate each option to see which gives the same result as the original expression.
1. Calculate [tex]\(5.8 \div 1.15\)[/tex]:
- Performing the division [tex]\(5.8 \div 1.15\)[/tex], we get approximately [tex]\(5.043\)[/tex].
2. Evaluate each given expression:
a. [tex]\(0.58 \div 115\)[/tex]:
- Divide [tex]\(0.58\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(0.005043\)[/tex], which is much smaller than [tex]\(5.043\)[/tex].
b. [tex]\(5.8 \div 115\)[/tex]:
- Divide [tex]\(5.8\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(0.05043\)[/tex], which is also much smaller than [tex]\(5.043\)[/tex].
c. [tex]\(58 \div 115\)[/tex]:
- Divide [tex]\(58\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(0.5043\)[/tex], which is still much smaller than [tex]\(5.043\)[/tex].
d. [tex]\(580 \div 115\)[/tex]:
- Divide [tex]\(580\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(5.043\)[/tex], which matches the original expression.
3. Conclusion:
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]:
- Performing the division [tex]\(5.8 \div 1.15\)[/tex], we get approximately [tex]\(5.043\)[/tex].
2. Evaluate each given expression:
a. [tex]\(0.58 \div 115\)[/tex]:
- Divide [tex]\(0.58\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(0.005043\)[/tex], which is much smaller than [tex]\(5.043\)[/tex].
b. [tex]\(5.8 \div 115\)[/tex]:
- Divide [tex]\(5.8\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(0.05043\)[/tex], which is also much smaller than [tex]\(5.043\)[/tex].
c. [tex]\(58 \div 115\)[/tex]:
- Divide [tex]\(58\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(0.5043\)[/tex], which is still much smaller than [tex]\(5.043\)[/tex].
d. [tex]\(580 \div 115\)[/tex]:
- Divide [tex]\(580\)[/tex] by [tex]\(115\)[/tex]. The result is approximately [tex]\(5.043\)[/tex], which matches the original expression.
3. Conclusion:
The expression that is equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
