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Division Facts

Grade 3 · Mathematics · Worksheet 1

  1. 2 ÷ 2 = ? Answer: ______________
  2. 20 ÷ 5 = ? Answer: ______________
  3. 3 ÷ 1 = ? Answer: ______________
  4. 12 ÷ 6 = ? Answer: ______________
  5. 30 ÷ 5 = ? Answer: ______________
  6. 20 ÷ 4 = ? Answer: ______________
  7. 63 ÷ 7 = ? Answer: ______________
  8. 8 ÷ 1 = ? Answer: ______________
  9. 21 ÷ 3 = ? Answer: ______________
  10. 77 ÷ 7 = ? Answer: ______________
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Answer Key & Explanations

Division Facts · Grade 3 · Worksheet 1

  1. 2 ÷ 2 = ? Answer: 1 Solution: We are asked to divide 2 by 2. Division is the process of splitting a number into equal parts. Interpret the division.
    Full step-by-step solution

    Step 1: Understand the problem. We are asked to divide 2 by 2. Division is the process of splitting a number into equal parts. Step 2: Interpret the division. The expression 2 ÷ 2 asks: "How many groups of 2 can we make from the number 2?" Step 3: Visualize the division. Imagine you have 2 objects. You want to put them into groups, with each group containing exactly 2 objects. Step 4: Perform the grouping. If you take your 2 objects and put them into one group, that one group contains all 2 objects. You have no objects left over. Step 5: State the result. Since you can make exactly 1 full group of 2 from the number 2, the answer is 1. Step 6: Write the final answer. 2 ÷ 2 = 1

  2. 20 ÷ 5 = ? Answer: 4 Solution: We are solving: 20 ÷ 5 = ? Division means splitting a number into equal parts. Here, we are splitting 20 into 5 equal groups.
    Full step-by-step solution

    We are solving: 20 ÷ 5 = ? Step 1: Understand the division. Division means splitting a number into equal parts. Here, we are splitting 20 into 5 equal groups. Step 2: Think of it as repeated subtraction. How many times can we subtract 5 from 20 until we reach 0? 20 - 5 = 15 (1 time) 15 - 5 = 10 (2 times) 10 - 5 = 5 (3 times) 5 - 5 = 0 (4 times) We subtracted 5 a total of 4 times. Step 3: Alternatively, think of multiplication. Division is the inverse of multiplication. We ask: "What number multiplied by 5 gives 20?" That is: ? × 5 = 20. We know 4 × 5 = 20, so the answer is 4. Step 4: Conclusion. Therefore, 20 ÷ 5 = 4. ANSWER: 4

  3. 3 ÷ 1 = ? Answer: 3 Solution: We are asked to divide 3 by 1. This means we need to find how many times the number 1 fits into the number 3. Recall the concept of division.
    Full step-by-step solution

    Step 1: Understand the problem. We are asked to divide 3 by 1. This means we need to find how many times the number 1 fits into the number 3. Step 2: Recall the concept of division. Division is the process of splitting a number into equal parts. For example, 6 ÷ 2 = 3 means splitting 6 into 2 equal groups, with 3 in each group. Step 3: Apply the concept to our problem. We are splitting the number 3 into 1 equal group. If we have one group containing all 3 items, then that one group contains 3 items. Step 4: Perform the calculation. 3 ÷ 1 = 3 Step 5: Verify the answer using multiplication (the inverse operation). Division and multiplication are opposites. If 3 ÷ 1 = 3 is correct, then multiplying the answer (3) by the divisor (1) should give us the original number (3). Check: 3 (answer) × 1 (divisor) = 3 (original number). This confirms our answer is correct. Step 6: State the final answer. Therefore, 3 divided by 1 equals 3.

  4. 12 ÷ 6 = ? Answer: 2 Solution: We are solving: 12 ÷ 6 = ? Division means splitting a number into equal parts. Here, we are dividing 12 by 6, which means we want to know how many groups of 6 are in 12.
    Full step-by-step solution

    We are solving: 12 ÷ 6 = ? Step 1: Understand the division. Division means splitting a number into equal parts. Here, we are dividing 12 by 6, which means we want to know how many groups of 6 are in 12. Step 2: Think of it as repeated subtraction. Start with 12. Subtract 6: 12 - 6 = 6 (1 group) Subtract 6 again: 6 - 6 = 0 (2 groups) We subtracted 6 exactly 2 times until we reached 0. Step 3: Use multiplication to check. If 12 ÷ 6 = ?, then ? × 6 should equal 12. We know 2 × 6 = 12, so ? must be 2. Step 4: Conclusion. Therefore, 12 ÷ 6 = 2. ANSWER: 2

  5. 30 ÷ 5 = ? Answer: 6 Solution: We are solving: 30 ÷ 5 = ? Division means splitting a number into equal parts. Here, we are splitting 30 into 5 equal groups.
    Full step-by-step solution

    We are solving: 30 ÷ 5 = ? Step 1: Understand the division. Division means splitting a number into equal parts. Here, we are splitting 30 into 5 equal groups. Step 2: Think of it as: how many times does 5 fit into 30? We can count: 5, 10, 15, 20, 25, 30. That is 6 times. Step 3: Check with multiplication. If 30 ÷ 5 = x, then 5 × x = 30. We know 5 × 6 = 30, so x = 6. Step 4: Conclusion. 30 divided by 5 equals 6. ANSWER: 6

  6. 20 ÷ 4 = ? Answer: 5 Solution: We are solving: 20 ÷ 4 = ? Division means splitting a number into equal parts. Here, we are splitting 20 into 4 equal groups.
    Full step-by-step solution

    We are solving: 20 ÷ 4 = ? Step 1: Understand the division. Division means splitting a number into equal parts. Here, we are splitting 20 into 4 equal groups. Step 2: Think of it as repeated subtraction. We subtract 4 repeatedly from 20 until we reach 0, and count how many times we subtract. 20 - 4 = 16 (1 time) 16 - 4 = 12 (2 times) 12 - 4 = 8 (3 times) 8 - 4 = 4 (4 times) 4 - 4 = 0 (5 times) We subtracted 4 a total of 5 times to reach 0. Step 3: Check with multiplication. Division is the opposite of multiplication. If 20 ÷ 4 = ?, then 4 × ? = 20. We know 4 × 5 = 20, so the answer is 5. Step 4: Conclusion. Therefore, 20 ÷ 4 = 5.

  7. 63 ÷ 7 = ? Answer: 9 Solution: We are solving 63 ÷ 7. Division asks: how many times does 7 fit into 63? Recall multiplication facts related to 7.
    Full step-by-step solution

    We are solving 63 ÷ 7. Step 1: Understand the division. Division asks: how many times does 7 fit into 63? Step 2: Recall multiplication facts related to 7. 7 × 9 = 63. This means 7 fits into 63 exactly 9 times. Step 3: Write the answer. Since 7 × 9 = 63, then 63 ÷ 7 = 9. Final Answer: 9

  8. 8 ÷ 1 = ? Answer: 8 Solution: We have 8 ÷ 1. This means we are dividing the number 8 into 1 equal part. Interpret what division means.
    Full step-by-step solution

    Step 1: Understand the division problem. We have 8 ÷ 1. This means we are dividing the number 8 into 1 equal part. Step 2: Interpret what division means. Division asks the question: "How many times does the divisor (the number after the division sign) fit into the dividend (the number before the division sign)?" Here, we are asking: "How many times does 1 fit into 8?" Step 3: Perform the calculation. If you have 8 items and you put them into 1 group, that one group will contain all 8 items. Another way to think about it is: What number, when multiplied by the divisor (1), gives us the dividend (8)? We can write this as: ? x 1 = 8 Step 4: Apply the identity property of multiplication. Any number multiplied by 1 remains itself. So, the number that fits in the blank is 8. 8 x 1 = 8 Step 5: State the final answer. Therefore, 8 ÷ 1 = 8.

  9. 21 ÷ 3 = ? Answer: 7 Solution: We are solving: 21 ÷ 3 = ? Division means splitting a number into equal parts. Here, we are splitting 21 into 3 equal groups.
    Full step-by-step solution

    We are solving: 21 ÷ 3 = ? Step 1: Understand the division. Division means splitting a number into equal parts. Here, we are splitting 21 into 3 equal groups. We want to know how many are in each group. Step 2: Think of it as repeated subtraction. If we have 21 and repeatedly subtract 3, how many times can we do that until we reach 0? 21 - 3 = 18 (1 time) 18 - 3 = 15 (2 times) 15 - 3 = 12 (3 times) 12 - 3 = 9 (4 times) 9 - 3 = 6 (5 times) 6 - 3 = 3 (6 times) 3 - 3 = 0 (7 times) We subtracted 3 a total of 7 times. Step 3: Relate to multiplication. Division is the inverse of multiplication. We ask: 3 times what number equals 21? 3 × 7 = 21. So 21 ÷ 3 = 7. Step 4: Conclusion. The number 21 divided into 3 equal parts gives 7 in each part. ANSWER: 7

  10. 77 ÷ 7 = ? Answer: 11 Solution: We are dividing 77 by 7. This means we want to know how many times 7 fits into 77. Recall multiplication facts for 7.
    Full step-by-step solution

    Let's solve 77 ÷ 7 step by step. Step 1: Understand the division. We are dividing 77 by 7. This means we want to know how many times 7 fits into 77. Step 2: Recall multiplication facts for 7. 7 × 10 = 70. 77 is 7 more than 70. Step 3: Find how many more 7s fit into the remaining part. 77 − 70 = 7. 7 × 1 = 7. So 7 fits into the remaining 7 exactly 1 time. Step 4: Add up the total number of 7s. From Step 2: 10 times. From Step 3: 1 time. Total: 10 + 1 = 11. Step 5: Check the result. 7 × 11 = 77, which matches the original number. Therefore, 77 ÷ 7 = 11.