multiplication worksheets and division
Practice focus: multiplication worksheets and division. Focus: Mixed Multiplication and Division. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.
Teaching Notes
Practice focus: multiplication worksheets and division. Focus: Mixed Multiplication and Division. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Before You Begin
- Identify addition, subtraction, multiplication, and division.
Teaching Steps for Parents and Teachers
- Use known multiplication facts and place value together.
- Multiply the top number by each digit of the lower number, starting with the ones.
- Regroup when a product exceeds nine.
- If the lower number has more than one digit, write a separate partial product for each place and add the partial products.
- A tens digit represents tens, not ones.
- Decide how many complete groups of the divisor fit into the current amount.
- Write a quotient digit, multiply it by the divisor, and subtract.
- Bring down the next digit and repeat.
- A zero quotient digit may be needed to hold a place.
- At the end, the remainder must be smaller than the divisor.
Worked Examples
Evaluate 6 × 4.
- 6 × 4 = 24.
Answer: 24
Evaluate 24/4.
- 4 × 6 = 24.
- 24 − 24 = 0.
Answer: 6
Common Mistakes and How to Help
A partial product for the tens place must be shifted one place. Keep a carried amount separate from the next multiplication fact, then add it once.
Estimate using nearby convenient numbers. You can also divide the product by one factor to recover the other.
Do not stop just because a current digit is smaller than the divisor. Check whether more digits remain to be brought down. A remainder equal to or larger than the divisor means another complete group fits.
Multiply the quotient by the divisor and add the remainder. This must equal the dividend.
Questions to Check Understanding
- Which operation must be completed first, and why?
- Which step explains your answer?
- Can you apply the same reasoning when the numbers change?
Practice Advice
Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.
Next Practice
- Use New Numbers to practice the same skill with different values.
- If the learner needs help, return to the example and model each step before trying again.