Math  /  Numbers & Operations

Question1. 822×9\begin{array}{r} 822 \\ \times \quad 9 \\ \hline \\ \hline \end{array}

Studdy Solution

STEP 1

Assumptions
1. We need to multiply the number 822 by 9.
2. We will use the standard multiplication algorithm.

STEP 2

Write the numbers in a column format, aligning the digits by place value.
822×9 \begin{array}{r} 822 \\ \times \quad 9 \\ \hline \end{array}

STEP 3

Multiply the digit in the ones place of 822 by 9.
2×9=182 \times 9 = 18

STEP 4

Write down 8 in the ones place of the product and carry over 1 to the tens place.
1822×98 \begin{array}{r} & & 1 \\ 822 \\ \times \quad 9 \\ \hline 8 \end{array}

STEP 5

Multiply the digit in the tens place of 822 by 9 and add the carry-over 1.
2×9=182 \times 9 = 18
18+1=1918 + 1 = 19

STEP 6

Write down 9 in the tens place of the product and carry over 1 to the hundreds place.
11822×998 \begin{array}{r} & 1 & 1 \\ 822 \\ \times \quad 9 \\ \hline 98 \end{array}

STEP 7

Multiply the digit in the hundreds place of 822 by 9 and add the carry-over 1.
8×9=728 \times 9 = 72
72+1=7372 + 1 = 73

STEP 8

Write down 73 in the hundreds and thousands places of the product.
822×97398 \begin{array}{r} 822 \\ \times \quad 9 \\ \hline 7398 \end{array}

STEP 9

Combine all the partial products to get the final result.
822×9=7398822 \times 9 = 7398
The product of 822 and 9 is 7398.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord