# 2 Digit Multiplication Worksheets

Welcome to our 2 Digit Multiplication Worksheets page.

There are also step-by-step instructions and some worked examples to help you master this skill.

## 2 Digit Multiplication Worksheets

### How to Multiply two 2-digit numbers

#### How to Multiply a 2-digit number by a 2-digit number

In this example, we are working out 39 x 25. Step 1) Multiply the ones digit of the first 2-digit number (at the top) and the ones digit of the second 2-digit number together.

• Write the number of ones below the line in the ones place.
• Carry over any tens and write them above the first 2-digit number in the tens place.

5 x 9 = 45. Write the 5 below the line in the ones place. Carry over 4 tens. Step 2) Multiply the tens digit of the first 2-digit number and the ones digit of the second 2-digit number together, adding on any tens that you carried over.

• Write the number below the line in the tens place (or in the hundreds and tens place if the answer has 2 digits).

5 x 3 = 15. 15 + 4 = 19. Write the 1 in the hundreds place and 9 in the tens place below the line. We have now worked out: 39 x 5 = 195.

Step 3) We now have to work out 39 x 20. Put a 0 in the ones place underneath the 5. This is a placeholder because we are multiplying by tens. Cross out any numbers which were carried over so that we do not confuse them with the next steps. Step 4) Multiply the ones digit of the first number and the tens digit of the second number together.

• Write the number below the line in the tens place carrying over any tens above the tens digit of the first number.

2 x 9 = 18. Write the 8 in the tens place to the left of the 0 we wrote in Step 3) and carry over 1 above the tens digit of the first number. Step 5) Multiply the tens digit of the first number and the tens digit of the second number together, adding on any numbers that we carried over.

2 x 3 = 6. 6 + 1 = 7. Write the 7 in the hundreds place to the left of the 8 we wrote in Step 3). We have now worked out: 39 x 20 = 780.

Step 6) Finally we have to add up the answers from the two multiplications we have just worked out.

We need to add up 195 and 780 (the answers from 39 x 5 and 39 x 20) to find 39 x 25. Adding the two numbers using the standard method gives us: Our final answer is 39 x 25 = 975.

### 2 Digit Multiplication Worked Examples

#### Example 1) Work out 37 x 13. Step 1) Multiply the ones digit of the first 2-digit number (at the top) and the ones digit of the second 2-digit number together.

3 x 7 = 21. Write the 1 in the ones column underneath the line. Carry the 2 tens into the tens column above the number 3. Step 2) Multiply the tens digit of the first 2-digit number and the ones digit of the second 2-digit number together, adding on any tens that you carried over.

Write the answer below the tens digit.

3 x 3 = 9. 9 + 2 = 11. Write the 1 in the hundreds place and 1 in the tens place below the line. This tells us that 37 x 3 = 111.

Step 3) We now have to work out 37 x 10. Put a 0 in the ones place underneath the 1. Cross out the '2' which we carried over so that we do not confuse it in the next steps. Step 4) Multiply the ones digit of the first number and the tens digit of the second number together.

1 x 7 = 7. Write the 7 in the tens place to the left of the '0' we have just written. Step 5) Multiply the tens digit of the first number and the tens digit of the second number together, adding on any numbers that we carried over.

1 x 3 = 3. Write the 3 in the hundreds place to the left of the '7' we have just written. This tells us that 37 x 10 = 370.

Step 6) We now have to add up the two answers from the two multiplications we have just worked out.

We need to add up 111 and 370. Adding the two numbers using the standard algorithm gives us: This gives us a final answer of: 37 x 13 = 481

#### Example 2) Work out 46 x 35. Step 1) Multiply the ones digit of the first 2-digit number (at the top) and the ones digit of the second 2-digit number together.

5 x 6 = 30. Write the 0 in the ones column underneath the line. Carry the 3 tens into the tens column above the number 4. Step 2) Multiply the tens digit of the first 2-digit number and the ones digit of the second 2-digit number together, adding on any tens that you carried over.

Write the answer below the tens digit.

5 x 4 = 20. 20 + 3 = 23. Write the 2 in the hundreds place and 3 in the tens place below the line. This tells us that 46 x 5 = 230.

Step 3) We now have to work out 46 x 30. Put a 0 in the ones place underneath the 1 to use as a placeholder. Cross out the '3' which we carried over so that we do not confuse it in the next steps. Step 4) Multiply the ones digit of the first number and the tens digit of the second number together.

3 x 6 = 18. Write the 8 in the tens place to the left of the '0' we have just written. Carry the 1 over and write it above the 3 we crossed out. Step 5) Multiply the tens digit of the first number and the tens digit of the second number together, adding on any numbers that we carried over.

3 x 4 = 12. 12 + 1 = 13. Write the 1 in the thousands place and 3 in the hundreds place to the left of the '8' we have just written. This tells us that 46 x 30 = 1380.

Step 6) We now have to add up the two answers from the two multiplications we have just worked out.

We need to add up 230 and 1380. Adding the two numbers using the standard algorithm gives us: This gives us a final answer of: 46 x 35 = 1610

#### Example 3) Work out 79 x 28. Step 1) Multiply the ones digit of the first 2-digit number (at the top) and the ones digit of the second 2-digit number together.

8 x 9 = 72. Write the 2 in the ones column underneath the line. Carry the 7 tens into the tens column above the number 7. Step 2) Multiply the tens digit of the first 2-digit number and the ones digit of the second 2-digit number together, adding on any tens that you carried over.

Write the answer below the tens digit.

8 x 7 = 56. 56 + 7 = 63. Write the 6 in the hundreds place and 3 in the tens place below the line. This tells us that 79 x 8 = 632.

Step 3) We now have to work out 79 x 20. Put a 0 in the ones place underneath the 2 to use as a placeholder. Cross out the '7' which we carried over so that we do not confuse it in the next steps. Step 4) Multiply the ones digit of the first number and the tens digit of the second number together.

2 x 9 = 18. Write the 8 in the tens place to the left of the '0' we have just written. Carry the 1 over and write it above the 7 we crossed out. Step 5) Multiply the tens digit of the first number and the tens digit of the second number together, adding on any numbers that we carried over.

2 x 7 = 14. 14 + 1 = 15. Write the 1 in the thousands place and 5 in the hundreds place to the left of the '8' we have just written. This tells us that 79 x 20 = 1580.

Step 6) We now have to add up the two answers from the two multiplications we have just worked out.

We need to add up 632 and 1580. Adding the two numbers using the standard algorithm gives us: This gives us a final answer of: 79 x 28 = 2212

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