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When using fractions to multiply the following decimals, [tex]\(3.125 \cdot 2.64\)[/tex], which one of the following is the correct first step?

A. [tex]\(8.25\)[/tex]

B. [tex]\(\left(3+\frac{1}{10}+\frac{2}{100}+\frac{5}{1000}\right)\left(2+\frac{6}{10}+\frac{4}{100}\right)\)[/tex]

C. [tex]\(3 \frac{125}{1000} \cdot 2 \frac{64}{100}\)[/tex]

D. [tex]\(\frac{3125}{1000} \cdot \frac{264}{100}\)[/tex]



Answer :

GinnyAnswer
The correct first step in multiplying the decimals 3.125 and 2.64 is to convert each decimal into an improper fraction.

For 3.125, this decimal can be represented as an improper fraction:
[tex]\[ \frac{3125}{1000} \][/tex]

For 2.64, this decimal can be represented as an improper fraction:
[tex]\[ \frac{264}{100} \][/tex]

Therefore, the correct first step is:
[tex]\[ \frac{3125}{1000} \cdot \frac{264}{100} \][/tex]

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