Math

QuestionCalculate the product of 497 and 87. What is 497×87497 \times 87?

Studdy Solution

STEP 1

Assumptions1. We are multiplying two positive integers497 and87.

STEP 2

We can solve this multiplication problem using the standard multiplication algorithm. We start by multiplying the number in the ones place of the second number (7) by each digit of the first number (497), from right to left.
7×7=497 \times7 =497×9=637 \times9 =637×4=287 \times4 =28

STEP 3

Write down the results from step2 under the line, aligning the rightmost digit (from the result of7 times the ones place of the first number) with the ones place of the second number.
497×873489\begin{array}{r}497 \\ \times \quad87 \\ \hline3489\end{array}

STEP 4

Next, we multiply the number in the tens place of the second number (8) by each digit of the first number (497), from right to left. But before we do that, we add a zero at the end because we are multiplying with the tens place.
8×7=568 \times7 =568×9=728 \times9 =728×4=328 \times4 =32

STEP 5

Write down the results from step4 under the line, aligning the rightmost digit (from the result of8 times the ones place of the first number) with the tens place of the second number.
497×873489+39760\begin{array}{r}497 \\ \times \quad87 \\ \hline3489 \\ +39760 \\ \hline\end{array}

STEP 6

Finally, we add the two results together to get the final answer.
3489+39760=432493489 +39760 =43249So, 497×87=43249497 \times87 =43249.

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