Answer :
To find the value of [tex]\((213) \times 7\)[/tex] and [tex]\((917) \times 6\)[/tex], we will perform the following multiplications step-by-step.
First, let us handle the multiplication of [tex]\(213 \times 7\)[/tex]:
1. Multiply the digit in the ones place:
[tex]\[ 3 \times 7 = 21 \][/tex]
Write down 1 in the ones place and carry over 2.
2. Multiply the digit in the tens place and add the carry:
[tex]\[ 1 \times 7 = 7, \quad 7 + 2 = 9 \][/tex]
Write down 9 in the tens place.
3. Multiply the digit in the hundreds place:
[tex]\[ 2 \times 7 = 14 \][/tex]
Write down 14 followed by the digits we already have.
Thus, [tex]\(213 \times 7 = 1491\)[/tex].
Next, let us calculate [tex]\(917 \times 6\)[/tex]:
1. Multiply the digit in the ones place:
[tex]\[ 7 \times 6 = 42 \][/tex]
Write down 2 in the ones place and carry over 4.
2. Multiply the digit in the tens place and add the carry:
[tex]\[ 1 \times 6 = 6, \quad 6 + 4 = 10 \][/tex]
Write down 0 in the tens place and carry over 1.
3. Multiply the digit in the hundreds place:
[tex]\[ 9 \times 6 = 54, \quad 54 + 1 = 55 \][/tex]
Write down 55 followed by the digits we already have.
Thus, [tex]\(917 \times 6 = 5502\)[/tex].
The values obtained from the calculations are:
[tex]\[ 213 \times 7 = 1491 \][/tex]
[tex]\[ 917 \times 6 = 5502 \][/tex]
So, the values are [tex]\(1491\)[/tex] and [tex]\(5502\)[/tex], respectively.
First, let us handle the multiplication of [tex]\(213 \times 7\)[/tex]:
1. Multiply the digit in the ones place:
[tex]\[ 3 \times 7 = 21 \][/tex]
Write down 1 in the ones place and carry over 2.
2. Multiply the digit in the tens place and add the carry:
[tex]\[ 1 \times 7 = 7, \quad 7 + 2 = 9 \][/tex]
Write down 9 in the tens place.
3. Multiply the digit in the hundreds place:
[tex]\[ 2 \times 7 = 14 \][/tex]
Write down 14 followed by the digits we already have.
Thus, [tex]\(213 \times 7 = 1491\)[/tex].
Next, let us calculate [tex]\(917 \times 6\)[/tex]:
1. Multiply the digit in the ones place:
[tex]\[ 7 \times 6 = 42 \][/tex]
Write down 2 in the ones place and carry over 4.
2. Multiply the digit in the tens place and add the carry:
[tex]\[ 1 \times 6 = 6, \quad 6 + 4 = 10 \][/tex]
Write down 0 in the tens place and carry over 1.
3. Multiply the digit in the hundreds place:
[tex]\[ 9 \times 6 = 54, \quad 54 + 1 = 55 \][/tex]
Write down 55 followed by the digits we already have.
Thus, [tex]\(917 \times 6 = 5502\)[/tex].
The values obtained from the calculations are:
[tex]\[ 213 \times 7 = 1491 \][/tex]
[tex]\[ 917 \times 6 = 5502 \][/tex]
So, the values are [tex]\(1491\)[/tex] and [tex]\(5502\)[/tex], respectively.
