Answer :
To find out which of the given expressions is equivalent to [tex]\(5.8 \div 1.15\)[/tex], let's break down the steps one by one.
1. First, calculate [tex]\(5.8 \div 1.15\)[/tex]:
We need to find the value of the division [tex]\( 5.8 \div 1.15 \)[/tex].
[tex]\[
5.8 \div 1.15 = 5
\][/tex]
2. Now, evaluate each of the given options to find which one equals 5:
- Option 1: [tex]\( 0.58 \div 115 \)[/tex]
[tex]\[
0.58 \div 115 = 0.005
\][/tex]
This does not equal 5.
- Option 2: [tex]\( 5.8 \div 115 \)[/tex]
[tex]\[
5.8 \div 115 = 0.05
\][/tex]
This does not equal 5.
- Option 3: [tex]\( 58 \div 115 \)[/tex]
[tex]\[
58 \div 115 = 0.5043 \approx 0.504
\][/tex]
This does not equal 5.
- Option 4: [tex]\( 580 \div 115 \)[/tex]
[tex]\[
580 \div 115 = 5
\][/tex]
This equals 5.
3. Conclusion:
The expression [tex]\( 580 \div 115 \)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
Therefore, the correct answer is:
[tex]\[
580 \div 115
\][/tex]
1. First, calculate [tex]\(5.8 \div 1.15\)[/tex]:
We need to find the value of the division [tex]\( 5.8 \div 1.15 \)[/tex].
[tex]\[
5.8 \div 1.15 = 5
\][/tex]
2. Now, evaluate each of the given options to find which one equals 5:
- Option 1: [tex]\( 0.58 \div 115 \)[/tex]
[tex]\[
0.58 \div 115 = 0.005
\][/tex]
This does not equal 5.
- Option 2: [tex]\( 5.8 \div 115 \)[/tex]
[tex]\[
5.8 \div 115 = 0.05
\][/tex]
This does not equal 5.
- Option 3: [tex]\( 58 \div 115 \)[/tex]
[tex]\[
58 \div 115 = 0.5043 \approx 0.504
\][/tex]
This does not equal 5.
- Option 4: [tex]\( 580 \div 115 \)[/tex]
[tex]\[
580 \div 115 = 5
\][/tex]
This equals 5.
3. Conclusion:
The expression [tex]\( 580 \div 115 \)[/tex] is equivalent to [tex]\(5.8 \div 1.15\)[/tex].
Therefore, the correct answer is:
[tex]\[
580 \div 115
\][/tex]
