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Answer :
To determine which expression is equivalent to [tex]\(5.8 \div 1.15\)[/tex], let's analyze each option carefully.
1. Original Expression: [tex]\(5.8 \div 1.15\)[/tex]. This calculation evaluates to approximately [tex]\(5.043\)[/tex].
Let's evaluate each of the given expressions and see which one matches this result:
2. Expression 1: [tex]\(0.58 \div 115\)[/tex]. When you divide [tex]\(0.58\)[/tex] by [tex]\(115\)[/tex], the result is approximately [tex]\(0.005043\)[/tex], which is much smaller than the original result.
3. Expression 2: [tex]\(5.8 \div 115\)[/tex]. Dividing [tex]\(5.8\)[/tex] by [tex]\(115\)[/tex] gives approximately [tex]\(0.050434\)[/tex]. This is still smaller than the original result.
4. Expression 3: [tex]\(58 \div 115\)[/tex]. When divided, this gives approximately [tex]\(0.5043\)[/tex], which again is less than the original result.
5. Expression 4: [tex]\(580 \div 115\)[/tex]. This division results in approximately [tex]\(5.043\)[/tex], which is exactly the same as the original result.
Thus, the expression that is equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
1. Original Expression: [tex]\(5.8 \div 1.15\)[/tex]. This calculation evaluates to approximately [tex]\(5.043\)[/tex].
Let's evaluate each of the given expressions and see which one matches this result:
2. Expression 1: [tex]\(0.58 \div 115\)[/tex]. When you divide [tex]\(0.58\)[/tex] by [tex]\(115\)[/tex], the result is approximately [tex]\(0.005043\)[/tex], which is much smaller than the original result.
3. Expression 2: [tex]\(5.8 \div 115\)[/tex]. Dividing [tex]\(5.8\)[/tex] by [tex]\(115\)[/tex] gives approximately [tex]\(0.050434\)[/tex]. This is still smaller than the original result.
4. Expression 3: [tex]\(58 \div 115\)[/tex]. When divided, this gives approximately [tex]\(0.5043\)[/tex], which again is less than the original result.
5. Expression 4: [tex]\(580 \div 115\)[/tex]. This division results in approximately [tex]\(5.043\)[/tex], which is exactly the same as the original result.
Thus, the expression that is equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex].
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