Multiplication Facts
Grade 3 · Mathematics · Worksheet 2
- 0 × 12 = ? Answer: ______________
- 2 × 12 = ? Answer: ______________
- 3 × 2 = ? Answer: ______________
- 2 × 6 = ? Answer: ______________
- 2 × 11 = ? Answer: ______________
- 2 × 10 = ? Answer: ______________
- 1 × 3 = ? Answer: ______________
- 4 × 9 = ? Answer: ______________
- 3 × 5 = ? Answer: ______________
- 4 × 2 = ? Answer: ______________
Answer Key & Explanations
Multiplication Facts · Grade 3 · Worksheet 2
- 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 × 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 × 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
- 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
- 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.
- 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
- 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.
- 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.
- 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
- 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