Prime Numbers Factors and Multiples
Selected Reading
- Word Problem Involving the Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Least Common Multiple of 2 Numbers
- Factoring a Sum or Difference of Whole Numbers
- Introduction to Factoring With Numbers
- Understanding the Distributive Property
- Introduction to Distributive Property
- Greatest Common Factor of 3 Numbers
- Greatest Common Factor of 2 Numbers
- Prime Factorization
- Prime Numbers
- Factors
- Divisibility Rules for 3 and 9
- Divisibility Rules for 2, 5, and 10
- Even and Odd Numbers
- Home
Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Introduction to Distributive Property
Introduction to Distributive Property
The distributive property states that when we multiply a factor and a sum or difference, we multiply the factor by each term of the sum or difference.
Formula
The distributive property of multippcation for any three real numbers a , b and c isa × (b + c) = (a × b) + (a × c)
a × (b − c) = (a × b) − (a × c)
Example
Rewrite 8 × (7 + 4) using distributive property in order to simppfy
Solution
Step 1:
According to distributive property for any three real numbers, a , b and c
a × (b + c) = (a × b) + (a × c)
Step 2:
8 × (7 + 4) = (8 × 7) + (8 × 4) = 56 + 32 = 88
Rewrite given expression using distributive property in order to simppfy
8 × (7 + 4)
Solution
Step 1:
According to distributive property for any three real numbers, a , b and c
a × (b + c) = (a × b) + (a × c)
Step 2:
8 × (7 + 4) = (8 × 7) + (8 × 4) = 56 + 32 = 88
Rewrite given expression using distributive property in order to simppfy
9 × (6 − 2)
Solution
Step 1:
According to distributive property for any three real numbers, a , b and c
a × (b − c) = (a × b) − (a × c)
Step 2:
9 × (6 − 2) = (9 × 6) − (9 × 2) = 54 − 18 = 36