Multiplying decimals like $0.847 \times 3.54$ $\newline$ (standard algorithm) $\newline$ Google Classroom $\newline$ $0.345 \times 83.8=$

Full solution

Q. Multiplying decimals like

0.847 \times 3.54

\newline

(standard algorithm)

\newline

Google Classroom

\newline

0.345 \times 83.8=

Rewrite expressions without decimals: Rewrite the expressions without decimals. $\newline$ $0.847 \times 3.54$ can be written as $847 \times 354$ . $\newline$ $0.345 \times 83.8$ can be written as $345 \times 838$ .
Multiply whole numbers: Multiply the whole numbers for the first expression. $847 \times 354 = 299898$
Count decimal places: Count the decimal places in the original expression for the first multiplication. $\newline$ $0.847$ has three decimal places. $\newline$ $3.54$ has two decimal places. $\newline$ $0.847 \times 3.54$ has $3 + 2 = 5$ decimal places.
Move decimal in product: Move the decimal in the product of whole numbers to find the answer for the first multiplication. $\newline$ Move the decimal $5$ places to the left in $299898$ . $\newline$ $0.847 \times 3.54 = 2.99998$
Multiply whole numbers: Multiply the whole numbers for the second expression. $345 \times 838 = 289230$
Count decimal places: Count the decimal places in the original expression for the second multiplication. $\newline$ $0.345$ has three decimal places. $\newline$ $83.8$ has one decimal place. $\newline$ $0.345 \times 83.8$ has $3 + 1 = 4$ decimal places.
Move decimal in product: Move the decimal in the product of whole numbers to find the answer for the second multiplication. $\newline$ Move the decimal $4$ places to the left in $289230$ . $\newline$ $0.345 \times 83.8 = 28.9230$