The image you provided is a worksheet containing 40 multiplication problems. Each problem involves multiplying two 2-digit numbers. Below, I will explain the general approach to solving these problems and provide an example solution for one of them.
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General Approach to Solving Multiplication Problems
To solve each multiplication problem, follow these steps:
1.
Write Down the Numbers: Identify the two numbers you need to multiply.
2.
Use the Standard Algorithm:
- Multiply the second number (the multiplier) by each digit of the first number (the multiplicand), starting from the rightmost digit.
- If the result of any multiplication is a two-digit number, carry over the tens digit to the next column.
- Add up all the partial products to get the final result.
3.
Check Your Work: Ensure that your calculations are correct by rechecking the multiplication and addition steps.
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Example Solution: Problem #1
Let's solve the first problem as an example:
\[ 94 \times 66 \]
#### Step 1: Write Down the Numbers
\[
\begin{array}{r}
94 \\
\times 66 \\
\hline
\end{array}
\]
#### Step 2: Multiply by the Units Digit of the Multiplier (6)
- Multiply 94 by 6:
\[
94 \times 6 = 564
\]
- Write down 564, aligning it with the units place:
\[
\begin{array}{r}
94 \\
\times 66 \\
\hline
564 \\
\end{array}
\]
#### Step 3: Multiply by the Tens Digit of the Multiplier (60)
- Multiply 94 by 60 (which is the same as multiplying by 6 and then adding a zero):
\[
94 \times 60 = 5640
\]
- Write down 5640, shifting it one place to the left (to account for the tens place):
\[
\begin{array}{r}
94 \\
\times 66 \\
\hline
564 \\
5640 \\
\hline
\end{array}
\]
#### Step 4: Add the Partial Products
- Add 564 and 5640:
\[
564 + 5640 = 6204
\]
#### Final Answer for Problem #1:
\[
\boxed{6204}
\]
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How to Solve the Remaining Problems
You can apply the same method to solve all the other problems on the worksheet. Here’s a quick summary of the process for any problem \( A \times B \):
1. Multiply \( A \) by the units digit of \( B \).
2. Multiply \( A \) by the tens digit of \( B \) (and shift the result one place to the left).
3. Add the partial products to get the final answer.
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Additional Tips
- Use graph paper or lined paper to keep your columns aligned.
- Double-check your multiplication and addition to avoid errors.
- Practice mental math for smaller numbers to improve speed and accuracy.
If you need solutions for specific problems or further clarification, feel free to ask!
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Final Answer:
Each problem can be solved using the standard multiplication algorithm. For Problem #1, the solution is:
\[
\boxed{6204}
\]
Parent Tip: Review the logic above to help your child master the concept of multiply two digit numbers worksheet.
