Multiply: $\newline$ $0.4 \times 8000$

Full solution

Q. Multiply:

\newline

0.4 \times 8000

Understand Problem: Understand the problem and write down the multiplication expression. $\newline$ We need to multiply $0.4$ by $8000$ . The expression is $0.4 \times 8000$ .
Multiply Decimal by Whole Number: Multiply the decimal number by the whole number. $\newline$ To multiply $0.4$ by $8000$ , we can use the property that multiplying by a power of $10$ simply shifts the decimal point to the right. Since $8000$ is $8 \times 1000$ , we can multiply $0.4$ by $8$ first and then by $1000$ .
Multiply $0$ . $4$ by $8$ : Multiply $0.4$ by $8$ . $\newline$ $0.4 \times 8 = 3.2$ . This is because $4$ times $8$ is $32$ , and since there is one decimal place in $0.4$ , we place the decimal point one digit from the right in the result.
Multiply Result by $1000$ : Multiply the result by $1000$ . Now, we multiply $3.2$ by $1000$ . To do this, we move the decimal point three places to the right, because multiplying by $1000$ is equivalent to shifting the decimal point three places to the right.
Calculate Final Result: Calculate the final result. $\newline$ $3.2 \times 1000 = 3200$ . We have moved the decimal point three places to the right, so the final answer is $3200$ .