Solution
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To solve the multiplication problem presented, which is to find the product of 22 and 5, we will use the standard algorithm for multiplication. Here is a step-by-step guide to solving this problem:
Step 1: Set up the multiplication
Write the larger number on top and the smaller number below it, aligning the digits by place value. In this case, 22 is the larger number and 5 is the single-digit multiplier.
Step 1: Set up the multiplication
Write the larger number on top and the smaller number below it, aligning the digits by place value. In this case, 22 is the larger number and 5 is the single-digit multiplier.
Write the larger number on top and the smaller number below it, aligning the digits by place value. In this case, 22 is the larger number and 5 is the single-digit multiplier.
```
22
x 5
```
Step 2: Multiply the ones place
Multiply the digit in the ones place of the bottom number (5) by the digit in the ones place of the top number (2).
$$ 5 \times 2 = 10 $$
Write the 0 in the ones place of the answer line and carry over the 1 to the tens place.
```
1 (carry)
22
x 5
----
10
```
Step 3: Multiply the tens place
Now, multiply the digit in the ones place of the bottom number (5) by the digit in the tens place of the top number (2).
$$ 5 \times 2 = 10 $$
Then, add the carry-over from the previous step.
$$ 10 + 1 = 11 $$
Write the result (11) to the left of the 0 on the answer line.
```
1 (carry)
22
x 5
----
110
```
Step 4: Combine the results
Since there are no more digits to multiply, the number on the answer line (110) is the final product.
Therefore, the product of 22 and 5 is 110.
In mathematical notation, the complete operation is:
$$ 22 \times 5 = 110 $$
This completes the multiplication problem.
```
22
x 5
```
Step 2: Multiply the ones place
Multiply the digit in the ones place of the bottom number (5) by the digit in the ones place of the top number (2).
$$ 5 \times 2 = 10 $$
Write the 0 in the ones place of the answer line and carry over the 1 to the tens place.
```
1 (carry)
22
x 5
----
10
```
Step 3: Multiply the tens place
Now, multiply the digit in the ones place of the bottom number (5) by the digit in the tens place of the top number (2).
$$ 5 \times 2 = 10 $$
Then, add the carry-over from the previous step.
$$ 10 + 1 = 11 $$
Write the result (11) to the left of the 0 on the answer line.
```
1 (carry)
22
x 5
----
110
```
Step 4: Combine the results
Since there are no more digits to multiply, the number on the answer line (110) is the final product.
Therefore, the product of 22 and 5 is 110.
In mathematical notation, the complete operation is:
$$ 22 \times 5 = 110 $$
This completes the multiplication problem.
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