kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 6 - Mathematics
1.16 Properties of Whole Numbers (Division)

1. Closure Property:
Consider the following examples:
15/3 = 5
14/5 = 0.8
6/13 = 0.461538462
For any two whole numbers a and b (not equal to zero), their quotient a/b need not be a whole number. Hence, the closure property is not true for division in the set of all whole numbers.

2. Commutative Property:
For example:
15/3 = 5 and 3/15 = 0.2
Hence, for any two whole numbers a and b, a/b is not equal to b/a where a is not equal to b. That is, the commutative property is not true for division in whole numbers.

3. Associative Property:
Observe the examples,
(12/3)/2 = 4/2 = 2
12/(3/2) = 12/(1.5) = 8
Therefore, 12/(3/2) is not equal to (12/3)/2.
That is for any three whole numbers a, b(not equal to zero), and c (not equal to zero), (a/b)/c is not equal to a/(b/c). Hence, the associative property is not true for division in whole numbers.

4. Division by 1:
Consider the examples,
6/1 = 6; 50/1 = 50;.................
If any whole number is divided by 1 the quotient is the same number.
For any whole number "a", a/1 = a


Directions: Choose the correct answers for the following questions. Also write at least 5 examples of your own for each property and show that the property is not true under division.
Q 1: 8/4 = 2 means 4*2 = 8, is this correct?
No
Yes

Q 2: a/b is not equal to b/a, is this statement correct?
No
Yes

Q 3: 8/(4/2) is not equal to (8/4)/2, is this statement correct?
No
Yes

Q 4: Division is an inverse operation to____________?
multiplication
subtraction
addition

Q 5: 60/12 = ?
Whole number
Not a whole number

Q 6: 50/6 = ?
Not a whole number
Whole number

Q 7: (15/3)/2 = 15/(3/2), is this statement correct?
No
Yes

Q 8: a/b = b/a, is this statement correct?
No
Yes

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer