- Prime Numbers Factors and Multiples
- Home
- Even and Odd Numbers
- Divisibility Rules for 2, 5, and 10
- Divisibility Rules for 3 and 9
- Factors
- Prime Numbers
- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers
Understanding the Distributive Property Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Understanding the Distributive Property. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Answer : C
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c'
a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
7 × (4 + 6) = 7 × 4 + 7 × 6 = 28 + 42 = 70
Answer : D
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c'
a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
6 × (4 + 3) = 6 × 4 + 6 × 3 = 24 + 18 = 42
Answer : B
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
9 × (5 + 2) = 9 × 5 + 9 × 2 = 45 + 18 = 63
Q 4 - Evaluate given expression using distributive property 11 × (7 − 6)
Answer : A
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c'
a × (b – c) = (a × b) – (a × c)
Step 2:
Using distributive property of multiplication
11 × (7 − 6) = 11 × 7 − 11 × 6 = 77 – 66 = 11
Answer : B
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
8 × (3 + 4) = 8 × 3 + 8 × 4 = 24 + 32 = 56
Answer : C
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b – c) = (a × b) – (a × c)
Step 2:
Using distributive property of multiplication
8 × (7 − 3) = 8 × 7 − 8 × 3 = 56 – 24 = 32
Q 7 - Evaluate given expression using distributive property 7 × (3 + 11)
Answer : D
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
7 × (3 + 11) = 7 × 3 + 7 × 11 = 21 + 77 = 98
Answer : C
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
6 × (5 + 9) = 6 × 5 + 6 × 9 = 30 + 54 = 84
Q 9 - Evaluate given expression using distributive property 10 × (7 + 4)
Answer : B
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
10 × (7 + 4) = 10 × 7 + 10 × 4 = 70 + 40 = 110
Q 10 - Evaluate given expression using distributive property 5 × (2 + 9)
Answer : A
Explanation
Step 1:
Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)
Step 2:
Using distributive property of multiplication
5 × (2 + 9) = 5 × 2 + 5 × 9 = 10 + 45 = 55