The image you provided is a worksheet for practicing two-digit by two-digit multiplication. Below, I will solve one of the problems step-by-step and explain the process. Let's take the first problem as an example:
Problem:
$$
54 \times 39
$$
Step-by-Step Solution:
#### Step 1: Write down the numbers.
We are multiplying 54 by 39.
#### Step 2: Break down the multiplication into parts.
We can use the distributive property to break this into smaller steps:
$$
54 \times 39 = 54 \times (30 + 9) = (54 \times 30) + (54 \times 9)
$$
#### Step 3: Multiply 54 by 30.
To multiply 54 by 30, think of it as:
$$
54 \times 30 = 54 \times 3 \times 10
$$
First, calculate \( 54 \times 3 \):
$$
54 \times 3 = 162
$$
Then, multiply by 10:
$$
162 \times 10 = 1620
$$
So, \( 54 \times 30 = 1620 \).
#### Step 4: Multiply 54 by 9.
Now, calculate \( 54 \times 9 \):
$$
54 \times 9 = 486
$$
#### Step 5: Add the results from Steps 3 and 4.
Add \( 1620 \) and \( 486 \):
$$
1620 + 486 = 2106
$$
Final Answer:
$$
54 \times 39 = 2106
$$
Explanation:
This method works by breaking the multiplication into simpler parts using the distributive property. It helps manage larger multiplications by handling them in smaller, more manageable steps.
General Approach for Two-Digit Multiplication:
1.
Break down the second number: Split the second number into tens and ones (e.g., 39 becomes 30 + 9).
2.
Multiply separately: Multiply the first number by the tens part and then by the ones part.
3.
Add the results: Sum the two products to get the final answer.
You can apply this same approach to any of the problems on the worksheet.
Boxed Final Answer:
$$
\boxed{2106}
$$
Parent Tip: Review the logic above to help your child master the concept of double digit multiplication worksheet.
