Free 2-digit by 1-digit standard algorithm multiplication worksheets with answers

📚 Topic Summary

This worksheet focuses on 2-digit by 1-digit multiplication using the standard algorithm. The standard algorithm involves multiplying each digit of the 2-digit number by the 1-digit number, carrying over when necessary, and adding the results. This method helps break down larger multiplication problems into smaller, manageable steps. It's a fundamental skill for more advanced math.

Consider the example: $23 \times 4$. We first multiply $4 \times 3 = 12$. Write down the 2 and carry-over the 1. Next, multiply $4 \times 2 = 8$, and add the carried-over 1 to get 9. So, $23 \times 4 = 92$. Mastering this technique will improve your calculation speed and accuracy.

🧮 Part A: Vocabulary

Match the term with its definition:

1. Product
2. Factor
3. Algorithm
4. Carry-over
5. Digit

1. A symbol used to make numbers (0-9)
2. A step-by-step procedure for solving a problem
3. The result of multiplication
4. A number that is multiplied by another number
5. To transfer a number to the next higher column in addition or multiplication

Answers:

• Product - The result of multiplication
• Factor - A number that is multiplied by another number
• Algorithm - A step-by-step procedure for solving a problem
• Carry-over - To transfer a number to the next higher column in addition or multiplication
• Digit - A symbol used to make numbers (0-9)

✏️ Part B: Fill in the Blanks

Use the words product, factor, multiply, algorithm, digit to complete the paragraph.

To find the ______ of two numbers, you ______ them together. Each number you are multiplying is called a ______. The standard ______ is a step-by-step method to solve multiplication problems. Each number is made up of a ______.

Answers: product, multiply, factor, algorithm, digit

🤔 Part C: Critical Thinking

Explain in your own words why understanding the standard multiplication algorithm is important.

➕ Practice Problems

✅ Answer Key