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Multiplication Facts

Grade 3 · Mathematics · Worksheet 2

  1. 0 × 12 = ? Answer: ______________
  2. 2 × 12 = ? Answer: ______________
  3. 3 × 2 = ? Answer: ______________
  4. 2 × 6 = ? Answer: ______________
  5. 2 × 11 = ? Answer: ______________
  6. 2 × 10 = ? Answer: ______________
  7. 1 × 3 = ? Answer: ______________
  8. 4 × 9 = ? Answer: ______________
  9. 3 × 5 = ? Answer: ______________
  10. 4 × 2 = ? Answer: ______________
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Answer Key & Explanations

Multiplication Facts · Grade 3 · Worksheet 2

  1. 0 × 12 = ? Answer: 0 Solution: We need to multiply 0 by 12. This means we have zero groups of 12. Any number multiplied by zero equals zero.
    Full step-by-step solution

    Step-by-step solution: Step 1: Understand the problem We need to multiply 0 by 12. This means we have zero groups of 12. Step 2: Recall the multiplication property of zero Any number multiplied by zero equals zero. This is because multiplication represents repeated addition, and adding zero copies of a number gives zero. Step 3: Apply the zero property 0 × 12 = 0 Step 4: Verify with repeated addition We can think of 0 × 12 as adding twelve zero times: We would normally add: 12 + 12 + 12... but since we have zero copies of 12, we have nothing to add. Starting from zero and adding nothing leaves us with zero. Step 5: Final answer Therefore, 0 × 12 = 0

  2. 2 × 12 = ? Answer: 24 Solution: We are multiplying the number 2 by the number 12. Multiplication is repeated addition, so 2 × 12 means we are adding 12 two times. Rewrite as repeated addition.
    Full step-by-step solution

    Step 1: Understand the problem. We are multiplying the number 2 by the number 12. Multiplication is repeated addition, so 2 × 12 means we are adding 12 two times. Step 2: Rewrite as repeated addition. 2 × 12 = 12 + 12 Step 3: Perform the addition. 12 + 12 = 24 Step 4: State the final answer. Therefore, 2 × 12 = 24

  3. 3 × 2 = ? Answer: 6 Solution: We need to multiply the number 3 by the number 2. Multiplication means adding the first number to itself as many times as the second number indicates. 3 × 2 means we need to add 3 exactly 2 times.
    Full step-by-step solution

    Step-by-step solution: Step 1: Understand the problem We need to multiply the number 3 by the number 2. Multiplication means adding the first number to itself as many times as the second number indicates. Step 2: Set up the multiplication 3 × 2 means we need to add 3 exactly 2 times. Step 3: Perform the calculation 3 + 3 = 6 Step 4: Verify the result We can also think of this as adding 2 exactly 3 times: 2 + 2 + 2 = 6 Both approaches give us the same answer. Step 5: Final answer Therefore, 3 × 2 = 6

  4. 2 × 6 = ? Answer: 12 Solution: We are asked to calculate 2 × 6. Multiplication is repeated addition. The expression 2 × 6 means we are adding the number 6 a total of 2 times.
    Full step-by-step solution

    Step-by-step solution: We are asked to calculate 2 × 6. Step 1: Understand the operation. Multiplication is repeated addition. The expression 2 × 6 means we are adding the number 6 a total of 2 times. Step 2: Write it as an addition. 2 × 6 = 6 + 6 Step 3: Perform the addition. 6 + 6 = 12 Step 4: State the final answer. Therefore, 2 × 6 = 12

  5. 2 × 11 = ? Answer: 22 Solution: We are asked to multiply the number 2 by the number 11. Recall the meaning of multiplication. Multiplying 2 by 11 means we are adding the number 2 a total of 11 times.
    Full step-by-step solution

    Step 1: Understand the problem. We are asked to multiply the number 2 by the number 11. Step 2: Recall the meaning of multiplication. Multiplying 2 by 11 means we are adding the number 2 a total of 11 times. Step 3: Set up the repeated addition. We can write this as: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 Step 4: Perform the addition step-by-step. Start with the first two numbers: 2 + 2 = 4 Add the next 2: 4 + 2 = 6 Add the next 2: 6 + 2 = 8 Add the next 2: 8 + 2 = 10 Add the next 2: 10 + 2 = 12 Add the next 2: 12 + 2 = 14 Add the next 2: 14 + 2 = 16 Add the next 2: 16 + 2 = 18 Add the next 2: 18 + 2 = 20 Add the final 2: 20 + 2 = 22 Step 5: State the final result. After adding eleven 2's together, the total is 22. Therefore, 2 × 11 = 22.

  6. 2 × 10 = ? Answer: 20 Solution: We need to multiply the number 2 by the number 10. Multiplication is repeated addition. So 2 × 10 means we are adding 2 together 10 times.
    Full step-by-step solution

    Step-by-step solution: Step 1: Understand the problem We need to multiply the number 2 by the number 10. Step 2: Recall multiplication basics Multiplication is repeated addition. So 2 × 10 means we are adding 2 together 10 times. Step 3: Write as repeated addition 2 × 10 = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 Step 4: Count the additions We have ten 2's being added together. Step 5: Add them step by step Start with 2 + 2 = 4 4 + 2 = 6 6 + 2 = 8 8 + 2 = 10 10 + 2 = 12 12 + 2 = 14 14 + 2 = 16 16 + 2 = 18 18 + 2 = 20 Step 6: Alternative method using place value We can also think: 2 × 10 means 2 tens, which equals 20. When multiplying by 10, we simply add a zero to the number (2 becomes 20). Step 7: Final answer Therefore, 2 × 10 = 20

  7. 1 × 3 = ? Answer: 3 Solution: We are multiplying 1 and 3 together. Multiplication is repeated addition, so 1 × 3 means we have one group of 3 items. When we multiply any number by 1, the result is always that same number.
    Full step-by-step solution

    Step-by-step solution: Step 1: Understand the problem We are multiplying 1 and 3 together. Multiplication is repeated addition, so 1 × 3 means we have one group of 3 items. Step 2: Apply the multiplication concept When we multiply any number by 1, the result is always that same number. This is called the identity property of multiplication. Step 3: Perform the calculation 1 × 3 = 3 Step 4: Verify the reasoning We can think of this as: if you have 1 basket with 3 apples in it, you have 3 apples total. Step 5: Final answer The product of 1 and 3 is 3.

  8. 4 × 9 = ? Answer: 36 Solution: We are asked to multiply 4 by 9. Multiplication means adding the number 4 repeatedly, a total of 9 times. Write the repeated addition form.
    Full step-by-step solution

    Step 1: Understand the problem. We are asked to multiply 4 by 9. Multiplication means adding the number 4 repeatedly, a total of 9 times. Step 2: Write the repeated addition form. 4 × 9 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 Step 3: Start adding step by step. First, 4 + 4 = 8 Then, 8 + 4 = 12 Then, 12 + 4 = 16 Then, 16 + 4 = 20 Then, 20 + 4 = 24 Then, 24 + 4 = 28 Then, 28 + 4 = 32 Then, 32 + 4 = 36 Step 4: Verify with the multiplication table. If you know the multiplication fact: 4 × 9 = 36, you can check: 4 × 10 = 40, so 4 × 9 is one group of 4 less: 40 - 4 = 36. Step 5: Final answer. Therefore, 4 × 9 = 36.

  9. 3 × 5 = ? Answer: 15 Solution: We are asked to multiply the number 3 by the number 5. Multiplication is the same as repeated addition. Rewrite the multiplication as repeated addition.
    Full step-by-step solution

    Step 1: Understand the problem. We are asked to multiply the number 3 by the number 5. Multiplication is the same as repeated addition. Step 2: Rewrite the multiplication as repeated addition. The expression 3 × 5 means we are adding the number 5 together, a total of 3 times. So, we can write: 5 + 5 + 5 Step 3: Perform the addition. First, add the first two numbers: 5 + 5 = 10 Then, add the result to the third number: 10 + 5 = 15 Step 4: State the final answer. Therefore, 3 × 5 = 15

  10. 4 × 2 = ? Answer: 8 Solution: We are asked to multiply the number 4 by the number 2. Multiplication is the same as repeated addition. Rewrite the multiplication as repeated addition.
    Full step-by-step solution

    Step 1: Understand the problem. We are asked to multiply the number 4 by the number 2. Multiplication is the same as repeated addition. Step 2: Rewrite the multiplication as repeated addition. The problem 4 × 2 means we have 4 groups, with 2 items in each group. We can add them together: 2 + 2 + 2 + 2 Step 3: Perform the addition. First, add the first two numbers: 2 + 2 = 4 Then, add the next number: 4 + 2 = 6 Finally, add the last number: 6 + 2 = 8 Step 4: State the final answer. After adding four 2's together, the total is 8. Therefore, 4 × 2 = 8