Question

Multiply the decimal fractions. 3.594\times0.219

Decimals
ANSWERED
asked 2021-05-08
Multiply the decimal fractions.
\(3.594\times0.219\)

Answers (1)

2021-05-09
Step 1
\(3.594\times0.219\)
\(\begin{array} \\ \hline 32346 \\ 3594 \\ 7188 \\ 0000 \\ \hline 0.787086 \end{array}\)
Steps involved:
1) To multiply decimals, first multiply as if there is no decimal. As usual.
2)Next, count the number of digits after the decimal in each factor(given number) and add them. Finally, put the number of digits behind the decimal in the product.
That is, 3.594 has 3 digits after the decimal and 0.219 also has 3 digits after the decimal.
\(3+3=6.\) So we have to keep the decimal 6 digits before the obtained value of the product.
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