Question

1. charlie and sam are dividing 56.4 ÷ 4.7. charlie says that the first digit of the quotient is in the ones place. sam says it is in the tens place. who is right? how do you know?

Explanation:

Step1: Adjust dividend/divisor

Multiply numerator/denominator by 10: $\frac{56.4}{4.7}=\frac{564}{47}$.

Step2: Analyze division

Check how many 47s fit into 56 (first two digits of 564). Since $47\times1 = 47\leq56$ and $47\times10 = 470>56$, the first digit of the quotient is in the ones place. So Charlie is right.

Answer:

Charlie is right. We convert \(56.4\div4.7\) to \(564\div47\) (multiplying numerator/denominator by 10 to eliminate decimals). When dividing 564 by 47, we look at how many times 47 fits into the first few digits of the dividend. The first two digits of 564 are 56. Since \(47\times1 = 47\leq56\) and \(47\times10=470 > 56\), the first digit of the quotient (from \(564\div47\)) is in the ones place, so Charlie's statement is correct.