Division Facts
Grade 3 · Mathematics · Worksheet 2
- 15 ÷ 5 = ? Answer: ______________
- 2 ÷ 1 = ? Answer: ______________
- 0 ÷ 5 = ? Answer: ______________
- 54 ÷ 6 = ? Answer: ______________
- 40 ÷ 4 = ? Answer: ______________
- 6 ÷ 1 = ? Answer: ______________
- 28 ÷ 7 = ? Answer: ______________
- 3 ÷ 3 = ? Answer: ______________
- 11 ÷ 1 = ? Answer: ______________
- 16 ÷ 2 = ? Answer: ______________
Answer Key & Explanations
Division Facts · Grade 3 · Worksheet 2
- 15 ÷ 5 = ? Answer: 3 Solution: We are solving: 15 ÷ 5 = ? Division means splitting a number into equal groups. Here, we are splitting 15 into 5 equal groups.
Full step-by-step solution
We are solving: 15 ÷ 5 = ?
Step 1: Understand the division.
Division means splitting a number into equal groups.
Here, we are splitting 15 into 5 equal groups.
Step 2: Think of it as: how many times does 5 fit into 15?
We can count:
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
Step 3: Since 5 × 3 = 15, that means 15 ÷ 5 = 3.
Step 4: Check: If we split 15 items into 5 groups, each group will have 3 items.
So the answer is correct.
ANSWER: 3
- 2 ÷ 1 = ? Answer: 2 Solution: We are asked to divide 2 by 1. In division, we are finding out how many times the divisor (1) fits into the dividend (2). Set up the division.
Full step-by-step solution
Step 1: Understand the problem.
We are asked to divide 2 by 1. In division, we are finding out how many times the divisor (1) fits into the dividend (2).
Step 2: Set up the division.
We can write this as 2 / 1.
Step 3: Perform the calculation.
Think: "How many groups of 1 can I make from 2?"
We can make exactly 2 groups of 1.
This is because 1 + 1 = 2.
Step 4: State the result.
Therefore, 2 divided by 1 equals 2.
Final Answer: 2
- 0 ÷ 5 = ? Answer: 0 Solution: We are asked to compute 0 divided by 5, which is written as 0 ÷ 5. Recall the meaning of division.
Full step-by-step solution
Step 1: Understand the division problem.
We are asked to compute 0 divided by 5, which is written as 0 ÷ 5.
Step 2: Recall the meaning of division.
Division answers the question: "How many times does the divisor (5) fit into the dividend (0)?"
Step 3: Apply the meaning to our numbers.
We ask: "How many groups of 5 can we make from 0?"
Since we are starting with nothing (0), we cannot make any groups of 5. The number of groups we can form is 0.
Step 4: Verify with multiplication (the inverse operation).
Division and multiplication are inverse operations. This means if 0 ÷ 5 = ?, then it must be true that ? × 5 = 0.
The only number that fits is 0, because 0 × 5 = 0.
Step 5: State the final answer.
Therefore, 0 ÷ 5 = 0.
- 54 ÷ 6 = ? Answer: 9 Solution: We are solving 54 ÷ 6. Division asks: how many times does 6 fit into 54? Use multiplication facts.
Full step-by-step solution
We are solving 54 ÷ 6.
Step 1: Understand the division.
Division asks: how many times does 6 fit into 54?
Step 2: Use multiplication facts.
We know 6 × 9 = 54.
This means 6 fits into 54 exactly 9 times.
Step 3: Write the answer.
Since 6 × 9 = 54, then 54 ÷ 6 = 9.
Final Answer: 9
- 40 ÷ 4 = ? Answer: 10 Solution: We are dividing 40 by 4. Division means splitting a number into equal parts. Think of it as sharing.
Full step-by-step solution
Step 1: Understand the problem.
We are dividing 40 by 4. Division means splitting a number into equal parts.
Step 2: Think of it as sharing.
If you have 40 items and split them into 4 equal groups, how many items are in each group?
Step 3: Break it down.
We know 4 × 10 = 40.
That means 40 divided into 4 equal groups gives 10 in each group.
Step 4: Write the division equation.
40 ÷ 4 = 10
Step 5: Verify the answer.
Multiply the result by the divisor: 10 × 4 = 40.
Since this matches the original number we started with (40), the division is correct.
Final Answer: 10
- 6 ÷ 1 = ? Answer: 6 Solution: We are asked to divide 6 by 1. Division means splitting a number into equal parts. Interpret the division.
Full step-by-step solution
Step 1: Understand the problem.
We are asked to divide 6 by 1. Division means splitting a number into equal parts.
Step 2: Interpret the division.
6 ÷ 1 means: how many groups of 1 can we make from 6?
If we split 6 into groups of 1, we can make 6 groups.
Step 3: Perform the calculation.
When we divide any number by 1, the result is the number itself.
So, 6 ÷ 1 = 6.
Step 4: Verify the answer.
We can check using multiplication:
If 6 ÷ 1 = 6, then 6 × 1 should equal 6.
6 × 1 = 6, which is correct.
Final Answer: 6
- 28 ÷ 7 = ? Answer: 4 Solution: We are solving: 28 ÷ 7 = ? Division asks: how many groups of 7 can we make from 28? Use repeated subtraction to see this.
Full step-by-step solution
We are solving: 28 ÷ 7 = ?
Step 1: Understand the division.
Division asks: how many groups of 7 can we make from 28?
Step 2: Use repeated subtraction to see this.
28 - 7 = 21 (1 group)
21 - 7 = 14 (2 groups)
14 - 7 = 7 (3 groups)
7 - 7 = 0 (4 groups)
We subtracted 7 a total of 4 times until we reached 0.
Step 3: Check with multiplication.
If 28 ÷ 7 = 4, then 7 × 4 should equal 28.
7 × 4 = 28, which is correct.
Step 4: Conclusion.
So, 28 ÷ 7 = 4.
- 3 ÷ 3 = ? Answer: 1 Solution: We are asked to compute 3 divided by 3. Recall the meaning of division.
Full step-by-step solution
Step 1: Understand the problem.
We are asked to compute 3 divided by 3.
Step 2: Recall the meaning of division.
Division asks the question: "How many times does the divisor (the second number) fit into the dividend (the first number)?" In this case, we are asking: "How many times does 3 fit into 3?"
Step 3: Visualize or think about the problem.
If you have 3 items and you split them into 3 equal groups, how many items will be in each group?
- Group 1 gets 1 item.
- Group 2 gets 1 item.
- Group 3 gets 1 item.
Each group gets exactly 1 item.
Step 4: Perform the calculation.
3 divided by 3 can be written as the fraction 3/3.
Any non-zero number divided by itself equals 1. So, 3/3 = 1.
Step 5: Verify the answer.
We can check our answer using multiplication, which is the inverse operation of division.
If 3 ÷ 3 = 1, then 1 multiplied by 3 should equal 3.
1 * 3 = 3. This is correct.
Therefore, the final answer is 1.
- 11 ÷ 1 = ? Answer: 11 Solution: We are dividing 11 by 1. Division means splitting a number into equal parts. Interpret the division.
Full step-by-step solution
Step 1: Understand the problem.
We are dividing 11 by 1. Division means splitting a number into equal parts.
Step 2: Interpret the division.
If we have 11 items and we split them into 1 group, that means all 11 items remain together in a single group.
Step 3: Apply the division rule.
Any number divided by 1 equals the number itself.
So, 11 ÷ 1 = 11.
Step 4: Verify by multiplication.
Division is the inverse of multiplication.
If 11 ÷ 1 = 11, then 11 × 1 should equal 11.
Since 11 × 1 = 11, our answer is correct.
Final Answer: 11
- 16 ÷ 2 = ? Answer: 8 Solution: We are solving: 16 ÷ 2 = ? Division means splitting a number into equal parts. Here, we are splitting 16 into 2 equal groups.
Full step-by-step solution
We are solving: 16 ÷ 2 = ?
Step 1: Understand the division.
Division means splitting a number into equal parts. Here, we are splitting 16 into 2 equal groups.
Step 2: Think of it as: "How many times does 2 fit into 16?"
We can count in 2s until we reach 16:
2, 4, 6, 8, 10, 12, 14, 16.
That is 8 times.
Step 3: Check with multiplication.
If 16 ÷ 2 = ?, then 2 × ? = 16.
We know 2 × 8 = 16, so the answer is 8.
Step 4: Conclusion.
Therefore, 16 ÷ 2 = 8.