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CBSE Class 8 Maths Worksheet

Rational Number - Properties of Rational Number

1.
Find: 4/10*-6/14-2/28-6/14*6/10.
2.
State Yes/No: Is division commutative for rational numbers ?
A) YES B) NO
3.
State True/False: A number which can be written in the form p/q , where p and q are integers and q is not equal to 0 is called a rational number.
A) true B) false
4.
State True/False: A rational number c/d is called the multiplicative inverse of another rational number a/b if a/b*c/d=1.
A) true B) false
5.
Fill in the blanks: When you use distributivity, you split a product as a sum or difference of ____ products.
6.
Find: 5/6 and 11/13
7.
State True/False: Rational numbers are not closed under division, if zero is excluded, then the collection of all other rational numbers is closed under division.
A) true B) false
8.
Fill in the blanks: When you add _____ to a whole number , the sum is again that whole number
9.
Verify that – (– x) is the same as x for x = -31/21
10.
Fill in the blanks: _____ and _____ is not commutative for rational numbers.
11.
Fill in the blanks: Integers are not closed under ________
12.
State True/False: Is -p/q the additive inverse of p/q and p/q is the additive inverse of (-p/q).
A) true B) false
13.
Fill in the blanks: Whole numbers are closed under _____ and _____ .
14.
What is the additive identity for integers and whole numbers?
A) 2 B) -1 C) 0 D) 1
15.
Write the additive inverse of (-9/13)
16.
What is the multiplicative identity for rational numbers?
A) 0 B) 1 C) 2 D) -1
17.
Fill in the blanks: _____ and _____ is associative for rational numbers.
18.
State True/False: Distributivity of Multiplication over Addition and subtraction, for all rational Number a,b and c, is a(b+c)=ab+ac ,a(b-c)=ab-ac.
A) true B) false
19.
Fill in the blanks: Zero has ________ reciprocal.
20.
Fill in the blanks: ____ is called the identity for the addition of rational numbers.

CBSE Class 8 Maths Worksheet

Rational Number - Properties of Rational Number

Answers

1.
(-1/2)

Solution: => 4/10*-6/14-2/28-6/14*6/10
=> 4/10*-6/14+(-6/14)*6/10-2/28
=> -6/14 (4/10+6/10)-2/28
=> -6/14*1-2/28
=> -13-1/28 = -1/2

2.
Option B
3.
Option A
4.
Option A

5.
Two
6.
131/78

Solution: 5/6+11/13 = (5*13) + (11*6) / (6*13) = 65+66/78 = 131/78

7.
Option A

8.
Zero

Solution: Additive inverse of x = -31/21 is -x =31/21 since -31/21 + 31/21= 0
The same equality -31/21 + 31/21 = 0 ,shows that the additive inverse of 31/21 is -31/21 , i.e. - (-x)= x

10.
Subtraction and division
11.
Division
12.
Option A

13.
Addition and Multiplication
14.
Option C

Solution: Because ( Zero is called the identity for the addition of rational numbers.)


15.
0

Solution: 9/13 is the additive inverse of -9/13 because -9/13 + 9/13 = -9+9/13 = 0/13 = 0

16.
Option B

17.
Addition and Multiplication
18.
Option A

19.
No
20.
Zero
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