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Find the product using suitable properties :
a. 14×(-5)+14×7
b. 8×53×(-121)
c. 7×(50-3)?
a. 14×(-5)+14×7
b. 8×53×(-121)
c. 7×(50-3)?
Most Upvoted Answer
Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-1...
Product Calculation Using Properties
When approaching multiplication, we can use properties such as the Distributive Property, Associative Property, and Commutative Property to simplify calculations. Let's look at the given problems one by one.
Problem a: 14 × (-5) + 14 × 7
- Apply the Distributive Property: Here, we can factor out 14:
- 14 × (-5) + 14 × 7 = 14 × [(-5) + 7]
- Calculate the sum inside the brackets:
- (-5) + 7 = 2
- Final Calculation:
- 14 × 2 = 28
Problem b: 8 × 53 × (-121)
- Rearranging the Multiplication: Using the Commutative Property:
- 8 × 53 × (-121) = 8 × (-121) × 53
- Calculate 8 × (-121):
- 8 × (-121) = -968
- Final Calculation:
- -968 × 53 = -51,344 (you can calculate this with a calculator)
Problem c: 7 × (50 - 3)
- Simplifying Inside the Parentheses:
- 50 - 3 = 47
- Final Calculation:
- 7 × 47 = 329
Conclusion
- By applying suitable properties of multiplication, we can simplify complex calculations:
- a. Result: 28
- b. Result: -51,344
- c. Result: 329
Using these properties helps streamline our calculations and reduces the chances of error. Practice these techniques for a better understanding of multiplication!
When approaching multiplication, we can use properties such as the Distributive Property, Associative Property, and Commutative Property to simplify calculations. Let's look at the given problems one by one.
Problem a: 14 × (-5) + 14 × 7
- Apply the Distributive Property: Here, we can factor out 14:
- 14 × (-5) + 14 × 7 = 14 × [(-5) + 7]
- Calculate the sum inside the brackets:
- (-5) + 7 = 2
- Final Calculation:
- 14 × 2 = 28
Problem b: 8 × 53 × (-121)
- Rearranging the Multiplication: Using the Commutative Property:
- 8 × 53 × (-121) = 8 × (-121) × 53
- Calculate 8 × (-121):
- 8 × (-121) = -968
- Final Calculation:
- -968 × 53 = -51,344 (you can calculate this with a calculator)
Problem c: 7 × (50 - 3)
- Simplifying Inside the Parentheses:
- 50 - 3 = 47
- Final Calculation:
- 7 × 47 = 329
Conclusion
- By applying suitable properties of multiplication, we can simplify complex calculations:
- a. Result: 28
- b. Result: -51,344
- c. Result: 329
Using these properties helps streamline our calculations and reduces the chances of error. Practice these techniques for a better understanding of multiplication!
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Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)?
Question Description
Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)?.
Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the product using suitable properties :a. 14×(-5)+14×7b. 8×53×(-121)c. 7×(50-3)?.
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