How to Use the Distributive Property for Multiplying Numbers Near 100
FAQs on Multiply 1-Digit Numbers by Numbers Near 100 – Class 5 Worksheet
1. How do you multiply a 1-digit number by a number close to 100?
To multiply a 1-digit number by a number close to 100, you can use the distributive property as a mental math trick. This method breaks the harder problem into simpler steps.
- Step 1: Round the number to 100. For example, think of 98 as (100 - 2).
- Step 2: Multiply the 1-digit number by 100.
- Step 3: Multiply the 1-digit number by the small number you subtracted or added (in this case, 2).
- Step 4: Subtract (or add) the second result from the first to get the final answer.
2. What is the distributive property in multiplication?
The distributive property in multiplication is a rule that allows you to multiply a number by a sum or difference by multiplying each part separately. This is a core concept taught in Class 5 Maths.
- The rule states that a × (b + c) = (a × b) + (a × c).
- For numbers near 100, we use the subtraction form. For example, to solve 8 × 98, you can rewrite it as 8 × (100 - 2).
- This then becomes (8 × 100) - (8 × 2), which simplifies to 800 - 16 = 784.
3. What is an example of multiplying 7 × 98?
To multiply 7 × 98 using the 'near 100' method, you break 98 into (100 - 2) and apply the distributive property for quick mental calculation.
- Step 1: Rewrite the problem as 7 × (100 - 2).
- Step 2: Distribute the 7 to both numbers inside the parentheses: (7 × 100) - (7 × 2).
- Step 3: Solve each simple multiplication: 700 - 14.
- Step 4: Complete the final subtraction: 686.
This is a common question found in a Class 5 multiplication worksheet.
4. How can Class 5 students do mental math with large numbers like 99?
Class 5 students can perform mental math multiplication with numbers like 99 by rounding up to 100 and then adjusting the answer. This is a key multiplication trick for improving calculation speed.
- Example for 6 × 99:
- First, think of 99 as (100 - 1).
- Next, multiply 6 × 100 = 600.
- Then, multiply 6 × 1 = 6.
- Finally, subtract the second result from the first: 600 - 6 = 594.
5. Is this Class 5 Maths multiplication worksheet printable?
Yes, this Class 5 Maths worksheet for multiplying by numbers near 100 is available as a free, downloadable, and printable PDF. This format is convenient for parents and teachers to use for at-home practice, homework, or classroom activities.
6. What skills does this 'Multiply 1 Digit by Number Near 100' worksheet build?
This worksheet helps Grade 5 students develop several important mathematical skills beyond basic multiplication.
- Mental Calculation Speed: It teaches tricks to solve problems faster without a calculator.
- Understanding the Distributive Property: It provides practical application of this fundamental property.
- Number Sense: It improves a student's intuitive understanding of numbers and their relationships.
- Problem-Solving Strategies: It equips students with shortcuts for multi-digit multiplication.
7. Does this multiplication practice worksheet for Grade 5 include an answer key?
Yes, this free PDF multiplication worksheet for Grade 5 comes with a complete answer key. Having an answer key is essential for:
- Quick Checking: Parents and teachers can easily verify answers.
- Self-Assessment: Students can check their own work to identify and learn from mistakes.
- Homework Support: It makes the worksheet a reliable tool for homework and revision.
8. How does the 'near 100' multiplication trick work?
The 'near 100' multiplication trick works by using 100 as an easy-to-multiply base number and then adjusting the result using the distributive law. This is one of the most effective multiplication tricks for Grade 5.
- For numbers below 100: To calculate 5 × 97, think of it as 5 × (100 – 3). This becomes (5 × 100) – (5 × 3), or 500 – 15 = 485.
- For numbers above 100: To calculate 5 × 102, think of it as 5 × (100 + 2). This becomes (5 × 100) + (5 × 2), or 500 + 10 = 510.
9. Why is it important for 5th graders to learn mental math strategies?
Learning mental math multiplication strategies is very important for 5th graders because it builds a strong foundation for more complex math.
- Improves Calculation Speed: Essential for completing tests on time.
- Enhances Number Sense: Helps students understand how numbers work.
- Boosts Confidence: Solving problems mentally makes students feel more capable in maths.
- Reinforces Core Concepts: It strengthens their understanding of ideas like place value and the distributive property.
10. Is this worksheet aligned with the CBSE curriculum for Class 5 Maths?
Yes, this maths worksheet for Class 5 PDF is fully aligned with the mathematical concepts covered in the CBSE and NCERT curriculum. It focuses on multiplication strategies and properties of operations (like the distributive property), which are key topics for Grade 5 students.
