Answer :
To find which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], let's go through each given option:
1. Calculate the original expression:
[tex]\[
5.8 \div 1.15 = 5.043478260869565
\][/tex]
2. Evaluate each given expression:
- Option [tex]\(0.58 \div 115\)[/tex]:
[tex]\[
0.58 \div 115 = 0.005043478260869565
\][/tex]
- Option [tex]\(5.8 \div 115\)[/tex]:
[tex]\[
5.8 \div 115 = 0.050434782608695654
\][/tex]
- Option [tex]\(58 \div 115\)[/tex]:
[tex]\[
58 \div 115 = 0.5043478260869565
\][/tex]
- Option [tex]\(580 \div 115\)[/tex]:
[tex]\[
580 \div 115 = 5.043478260869565
\][/tex]
3. Compare the results:
We see that the result of [tex]\(580 \div 115\)[/tex] is [tex]\(5.043478260869565\)[/tex], which matches the original expression's result of [tex]\(5.8 \div 1.15\)[/tex].
Therefore, the expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
1. Calculate the original expression:
[tex]\[
5.8 \div 1.15 = 5.043478260869565
\][/tex]
2. Evaluate each given expression:
- Option [tex]\(0.58 \div 115\)[/tex]:
[tex]\[
0.58 \div 115 = 0.005043478260869565
\][/tex]
- Option [tex]\(5.8 \div 115\)[/tex]:
[tex]\[
5.8 \div 115 = 0.050434782608695654
\][/tex]
- Option [tex]\(58 \div 115\)[/tex]:
[tex]\[
58 \div 115 = 0.5043478260869565
\][/tex]
- Option [tex]\(580 \div 115\)[/tex]:
[tex]\[
580 \div 115 = 5.043478260869565
\][/tex]
3. Compare the results:
We see that the result of [tex]\(580 \div 115\)[/tex] is [tex]\(5.043478260869565\)[/tex], which matches the original expression's result of [tex]\(5.8 \div 1.15\)[/tex].
Therefore, the expression [tex]\(580 \div 115\)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
