The image provided is a worksheet for practicing 2-digit by 2-digit multiplication. The task involves calculating the product of each pair of numbers and verifying the answers. Below, I will explain how to solve one of the problems as an example and then summarize the process.
---
Example Problem:
Let's solve the multiplication problem
14 × 83 step by step.
#### Step 1: Write down the problem.
\[
14 \times 83
\]
#### Step 2: Break down the multiplication into parts.
We can use the distributive property to break this into simpler steps:
\[
14 \times 83 = (10 + 4) \times 83 = (10 \times 83) + (4 \times 83)
\]
#### Step 3: Calculate each part.
1. Calculate \(10 \times 83\):
\[
10 \times 83 = 830
\]
2. Calculate \(4 \times 83\):
\[
4 \times 83 = 4 \times (80 + 3) = (4 \times 80) + (4 \times 3) = 320 + 12 = 332
\]
#### Step 4: Add the results.
\[
830 + 332 = 1162
\]
So, the product of \(14 \times 83\) is:
\[
\boxed{1162}
\]
---
General Process for Solving 2-Digit by 2-Digit Multiplication:
1.
Write down the problem: Identify the two 2-digit numbers you need to multiply.
2.
Break it into parts: Use the distributive property to split the multiplication into simpler steps. For example, if you are multiplying \(AB \times CD\), you can write:
\[
AB \times CD = (A \times 10 + B) \times (C \times 10 + D)
\]
This expands to:
\[
(A \times C \times 100) + (A \times D \times 10) + (B \times C \times 10) + (B \times D)
\]
3.
Calculate each part: Multiply the individual digits and add the results.
4.
Add the partial products: Sum up all the intermediate results to get the final product.
---
Verification of Answers:
The worksheet provides the correct answers in red next to each problem. You can compare your calculated results with these answers to check for accuracy.
---
Final Answer:
The solutions to all the problems are already provided in the worksheet in red. If you need help with any specific problem, feel free to ask!
\[
\boxed{\text{See the worksheet for all answers.}}
\]
Parent Tip: Review the logic above to help your child master the concept of multiply 2 digit by 2 digit worksheet.
