Math  /  Numbers & Operations

Question876×7\begin{array}{r}876 \\ \times \quad 7 \\ \hline\end{array}

Studdy Solution

STEP 1

Assumptions
1. We need to multiply the number 876 by 7.
2. We will use basic multiplication rules to solve this problem.

STEP 2

Write down the multiplication problem in a vertical format for clarity.
876×7 \begin{array}{r} 876 \\ \times \quad 7 \\ \hline \end{array}

STEP 3

Start by multiplying the digit in the ones place of 876 (which is 6) by 7.
6×7=42 6 \times 7 = 42

STEP 4

Write down the 2 in the ones place of the result and carry over the 4 to the tens place.
876×702(write down 2, carry over 4) \begin{array}{r} 876 \\ \times \quad 7 \\ \hline \phantom{0}2 \quad \text{(write down 2, carry over 4)} \end{array}

STEP 5

Next, multiply the digit in the tens place of 876 (which is 7) by 7, and add the carry-over 4.
7×7=49 7 \times 7 = 49
49+4=53 49 + 4 = 53

STEP 6

Write down the 3 in the tens place of the result and carry over the 5 to the hundreds place.
876×732(write down 3, carry over 5) \begin{array}{r} 876 \\ \times \quad 7 \\ \hline 32 \quad \text{(write down 3, carry over 5)} \end{array}

STEP 7

Finally, multiply the digit in the hundreds place of 876 (which is 8) by 7, and add the carry-over 5.
8×7=56 8 \times 7 = 56
56+5=61 56 + 5 = 61

STEP 8

Write down the 61 in the hundreds and thousands places of the result.
876×76132 \begin{array}{r} 876 \\ \times \quad 7 \\ \hline 6132 \end{array}

STEP 9

Combine all the partial results to get the final product.
876×7=6132 876 \times 7 = 6132
The solution to the multiplication problem is 6132.

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