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Class 6 Exercise 4B RS Aggarwal_1

Total questions: 38

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
  1. What is the closure property of addition?

a)

  1. a. The sum of two positive real numbers will be a unique real number.

b)
  1. b. The sum of any two integers will always be an integer.

c)
  1. c. The sum of any two rational numbers will always be a rational number.

2.

What number would make the number sentence true? 4+(?+6) = (4+3)+6


a)
3
b)
5
c)
10
d)
7
3.


Both -5 and 11 are integers, and their sum (-5 + 11 = 6) is also an integer. This follows the _________ Property.

a)
Closure Property
b)
Distributive Property
c)
Commutative Property
d)
Associative Property
4.

7/2 is a fraction, and adding it to an integer (4) could result in a fraction, a mixed number, or an integer, depending on the value. Therefore, it is not guaranteed to be an integer. Does this follow the Closure Property?

a)
No
b)
Sometimes
c)
Maybe
d)
Yes
5.

__________ of addition: Changing the order of addends does not change the sum.

a)
Distributive property
b)
Commutative property
c)
Identity property
d)
Associative property
6.

3+4=7, so 4+3=

a)

11

b)

7

c)

9

d)

8

7.

8+2=10, so 2+8=

a)

8

b)

2

c)

10

d)

12

8.

2+7=9, so 7+2=

a)

9

b)

12

c)

15

d)

2

9.

6+8=14, so

a)

6+8=14

b)

14+6=8

c)

8+6=14

d)

7+7=14

10.

7+9=16, so

a)

16-9=7

b)

9+7=16

c)

9+9=16

d)

7+9=16

11.

8+1=9, so 1+8=9

Which property is this?

a)
Associative property of addition
b)
Distributive property
c)
Identity property of addition
d)
Commutative property of addition
12.

True or False: The associative law of addition states that for any three real numbers a, b, and c, the expression a + (b + c) is equivalent to (a + b) + c.

a)
False
b)
Maybe
c)
Sometimes
d)
True
13.

Which of the following expressions demonstrates the associative property of addition?

a)

a) 3 + (7 + 2)

b)

b) (3 + 7) + 2

c)

c) 3 + 7 + 2

d)

d) All of the above

14.

If a = 5, b = 8, and c = 2, evaluate both sides of the equation to determine if the associative law holds: a + (b + c) = (a + b) + c.

a)

a) 15 = 15

b)

b) 15 = 20

c)

c) 15 = 13

d)

d) 15 = 17

15.

True or False: The associative law of addition applies only to real numbers and not to subtraction.

a)
True for subtraction but not for division
b)
True for addition but not for multiplication
c)
True
d)
False
16.

True or False: The associative law of addition holds for any three real numbers, regardless of their values.

a)
True for subtraction but not for division
b)
True for addition but not for multiplication
c)
True
d)
False
17.

If a = 4, b = 2, and c = 7, evaluate the expression (a + b) + c and determine if it is equal to a + (b + c).

a)

a) True

b)

b) False

c)

c) Cannot be determined with the given values

d)

d) Both sides are always equal

18.

Which property is this 2+0 =2

a)

Additive identity property

b)

multiplicative identity property

c)

commutative property

d)

closure property

19.

What is the Additive Identity?

a)

0

b)

1

c)

10

d)

100

20.

The rational number 0 is the _______________ for rational numbers

a)

additive identity

b)

multiplicative identity

c)

additive inverse

d)

multiplicative inverse

21.
What is the additive inverse of -5?
a)
-5
b)
0
c)
5
d)
-0
22.
What is the additive inverse of 8?
a)
8
b)
0
c)
-0
d)
-8
23.
What is the additive inverse of 8?
a)
8
b)
0
c)
-0
d)
-8
24.

What is the additive inverse of 87?

a)

-87

b)

87

25.

What is the additive inverse of -77?

a)

77

b)

-77

26.

What is the additive inverse of -13?

a)

-13

b)

13

27.

Predecessor means _____________ number.

a)

before

b)

after

28.

Successor means _____________ number.

a)

before

b)

after

29.

__________ is the successor of 12

a)

12

b)

11

c)

10

d)

13

e)

3

30.

__________ is the successor of 2

a)

12

b)

11

c)

10

d)

13

e)

3

31.

__________ is the successor of 10

a)

12

b)

11

c)

10

d)

13

e)

3

32.

__________ is the predecessor of 12

a)

12

b)

11

c)

10

d)

13

e)

3

33.

__________ is the predecessor of 23

a)

23

b)

24

c)

25

d)

26

e)

22

34.

__________ is the predecessor of 120

a)

123

b)

111

c)

191

d)

116

e)

119

35.

If we add 1 to the number we get the ______________.

a)

successor

b)

predecessor

36.

If we subtract 1 from the number we get the ______________.

a)

successor

b)

predecessor

37.

In the equation "predecessor = a - 1," what does the term "predecessor" mean?

a)
The sum of a and 1 in the equation.
b)
The number that comes after the given number in the equation.
c)
The number that comes before the given number in the equation.
d)
The product of a and 1 in the equation.
38.

True or False: The expression "a-1" represents the successor

of a.

a)
False
b)
a*1
c)
a+1
d)
True