Free Math Worksheets by Math-Drills - Free Printable

The image you uploaded is a worksheet for practicing 2-digit by 2-digit multiplication. Below, I will explain how to solve one of the problems as an example and provide a general approach to solving these types of problems.

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Example Problem:

Let's solve the first problem in the worksheet:
$$
14 \times 83
$$

#### Step-by-Step Solution:

1. Break Down the Multiplication:
- Multiply the ones digit of the second number (3) by the first number (14).
- Multiply the tens digit of the second number (8) by the first number (14), and remember to shift the result one place to the left (because it represents tens).

2. Calculate Each Part:
- First Step: Multiply \(14 \times 3\):
$$
14 \times 3 = 42
$$
- Second Step: Multiply \(14 \times 80\) (since 8 represents 80):
$$
14 \times 80 = 1120
$$

3. Add the Results:
- Add the two partial products together:
$$
42 + 1120 = 1162
$$

So, the final answer for \(14 \times 83\) is:
$$
\boxed{1162}
$$

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General Approach for 2-Digit by 2-Digit Multiplication:

To solve any 2-digit by 2-digit multiplication problem, follow these steps:

1. Write Down the Numbers:
- Let the two numbers be \(AB\) and \(CD\), where \(A\) and \(B\) are the digits of the first number, and \(C\) and \(D\) are the digits of the second number.

2. Multiply the Ones Digit:
- Multiply the ones digit of the second number (\(D\)) by the entire first number (\(AB\)).

3. Multiply the Tens Digit:
- Multiply the tens digit of the second number (\(C\)) by the entire first number (\(AB\)). Remember to shift this result one place to the left (or multiply by 10).

4. Add the Partial Products:
- Add the results from steps 2 and 3 to get the final product.

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Additional Example:

Let's solve another problem from the worksheet:
$$
93 \times 65
$$

#### Step-by-Step Solution:

1. Break Down the Multiplication:
- Multiply the ones digit of the second number (5) by the first number (93).
- Multiply the tens digit of the second number (6) by the first number (93), and remember to shift the result one place to the left.

2. Calculate Each Part:
- First Step: Multiply \(93 \times 5\):
$$
93 \times 5 = 465
$$
- Second Step: Multiply \(93 \times 60\) (since 6 represents 60):
$$
93 \times 60 = 5580
$$

3. Add the Results:
- Add the two partial products together:
$$
465 + 5580 = 6045
$$

So, the final answer for \(93 \times 65\) is:
$$
\boxed{6045}
$$

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Final Answer for All Problems:

If you need the solutions for all the problems in the worksheet, you can follow the same method for each one. Here are the final answers for all the problems:

1. \(14 \times 83 = 1162\)
2. \(93 \times 65 = 6045\)
3. \(82 \times 60 = 4920\)
4. \(77 \times 11 = 847\)
5. \(53 \times 80 = 4240\)
6. \(24 \times 83 = 2032\)
7. \(49 \times 55 = 2695\)
8. \(13 \times 18 = 234\)
9. \(35 \times 61 = 2135\)
10. \(15 \times 51 = 765\)
11. \(92 \times 32 = 2944\)
12. \(35 \times 65 = 2275\)
13. \(25 \times 67 = 1675\)
14. \(96 \times 17 = 1632\)
15. \(24 \times 11 = 264\)
16. \(60 \times 23 = 1380\)
17. \(13 \times 34 = 442\)
18. \(28 \times 53 = 1484\)
19. \(37 \times 76 = 2812\)
20. \(57 \times 57 = 3249\)

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Thus, the final boxed answer for the first problem is:
$$
\boxed{1162}
$$