Answer :
To solve the multiplication problem [tex]\(122 \times 257\)[/tex] step-by-step, follow these steps:
1. Multiply the Ones Place: Multiply 122 by the 7 in the ones place of 257.
[tex]\[
122 \times 7 = 854
\][/tex]
2. Multiply the Tens Place: Next, multiply 122 by the 5 in the tens place of 257. Since it's in the tens place, we must add a zero to the result (or multiply by 10).
[tex]\[
122 \times 50 = 6100
\][/tex]
3. Multiply the Hundreds Place: Then, multiply 122 by the 2 in the hundreds place of 257. Since it's in the hundreds place, we must add two zeros to the result (or multiply by 100).
[tex]\[
122 \times 200 = 24400
\][/tex]
4. Add the Results Together: Finally, add all the partial products together to get the total.
[tex]\[
854 + 6100 + 24400 = 31354
\][/tex]
Thus, the product of [tex]\(122 \times 257\)[/tex] is [tex]\(31354\)[/tex].
1. Multiply the Ones Place: Multiply 122 by the 7 in the ones place of 257.
[tex]\[
122 \times 7 = 854
\][/tex]
2. Multiply the Tens Place: Next, multiply 122 by the 5 in the tens place of 257. Since it's in the tens place, we must add a zero to the result (or multiply by 10).
[tex]\[
122 \times 50 = 6100
\][/tex]
3. Multiply the Hundreds Place: Then, multiply 122 by the 2 in the hundreds place of 257. Since it's in the hundreds place, we must add two zeros to the result (or multiply by 100).
[tex]\[
122 \times 200 = 24400
\][/tex]
4. Add the Results Together: Finally, add all the partial products together to get the total.
[tex]\[
854 + 6100 + 24400 = 31354
\][/tex]
Thus, the product of [tex]\(122 \times 257\)[/tex] is [tex]\(31354\)[/tex].
