Answer :
To determine which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], we need to find the expression that results in the same value when evaluated.
1. Evaluate [tex]\(5.8 \div 1.15\)[/tex]:
- When you divide 5.8 by 1.15, you get approximately 5.0435.
2. Evaluate each of the given expressions:
- Expression 1: [tex]\(0.58 \div 115\)[/tex]
- This evaluates to approximately 0.0050.
- Expression 2: [tex]\(5.8 \div 115\)[/tex]
- This evaluates to approximately 0.0504.
- Expression 3: [tex]\(58 \div 115\)[/tex]
- This evaluates to approximately 0.5043.
- Expression 4: [tex]\(580 \div 115\)[/tex]
- This evaluates to approximately 5.0435.
3. Comparison:
- We compare each result with the result of [tex]\(5.8 \div 1.15 \)[/tex]. The expression [tex]\(580 \div 115\)[/tex] yields approximately 5.0435, which matches the value 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. Evaluate [tex]\(5.8 \div 1.15\)[/tex]:
- When you divide 5.8 by 1.15, you get approximately 5.0435.
2. Evaluate each of the given expressions:
- Expression 1: [tex]\(0.58 \div 115\)[/tex]
- This evaluates to approximately 0.0050.
- Expression 2: [tex]\(5.8 \div 115\)[/tex]
- This evaluates to approximately 0.0504.
- Expression 3: [tex]\(58 \div 115\)[/tex]
- This evaluates to approximately 0.5043.
- Expression 4: [tex]\(580 \div 115\)[/tex]
- This evaluates to approximately 5.0435.
3. Comparison:
- We compare each result with the result of [tex]\(5.8 \div 1.15 \)[/tex]. The expression [tex]\(580 \div 115\)[/tex] yields approximately 5.0435, which matches the value 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].
