which of these expressions is equivalent to 5.8 ÷ 1.15? 0.58 ÷ 115 5.8 ÷ 115 58 ÷ 115 580 ÷ 115

Explanation:

Step1: Recall the quotient - rule

When dividing decimals, if we multiply both the dividend and the divisor by the same non - zero number, the quotient remains the same. We want to make the divisor 1.15 into 115. We multiply 1.15 by 100 ($1.15\times100 = 115$).

Step2: Multiply the dividend by the same number

Since we multiplied the divisor by 100, we must also multiply the dividend 5.8 by 100. So, $5.8\times100=580$. Then $5.8\div1.15=(5.8\times100)\div(1.15\times100)=580\div115$.

Answer:

$580\div115$