Properties of Integers under Addition

Q.

What is the product of a number?

Q.

How to solve -57*-19+57 in distributive property

Q. If you add or subtract two integers, the result will always be an integer. What is this property called?

1. Associative Property
2. Distributive Property
3. Commutative Property
4. Closure Property

Q.

If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is

1. Distributive
2. Additive
3. Commutative

4. Associative

Q.

1.1×0.1×-0.01 =

Q. Which property does it follow, $9+3=3+9?$

1. 
   Commutative Property
2. 
   Associative Property
3. 
   Additive Property
4. 
   None of these

Q. If a and b are integers such that,
a + b = b + a. This property of addition under integers corresponds to

1. Commutative Property
2. Associative Property
3. Closure Property

Q. Associative property holds good for which of these operations?

1. Addition
2. Subtraction
3. Multiplication
4. Division

Q. Calculate:
[(–2) + (–3)] + (-5) and –2 + [(–3) + (–5)]

Also, mention the property of integers that can be used to make relation between both expressions.

1. 10, Commutative property
2. -10 , Associative property
3. -10, Closure property
4. 10, Distributive property

Q.

explain closure property?

Q. Solve (6 + 32) - 2 with suitable property of integers.

1. 36
2. 33
3. 40
4. 41

Q. Find the solution for (-2 + (-3)) + 4.

1. -1
2. 0
3. 2
4. 1

Q.

Solve the following :

$\left(-6\right)-45$

Q. Match the following such that a, b and c are integers.

1. a + b = b + a
2. a + b = Integer
3. a+(b+c) = (a+b)+c

Q.

Find the sum by suitable rearrangement:
$1962+453+1538+647$

Q.

Which among the following properties holds good for addition?

1. Closure property

2. Associative property

3. Commutative property

4. None of the above

Q.

State the property.

$(75+32)+29=75+(32+29)$

Q. For a, b and c to be integers
a + (b + c) = (a + b) + c
states the law of under addition of integers.

1. associativity
2. commutativity
3. distribution

Q.

As per commutative law, 4 + 7 =

1. 4 + (7)

2. 7 x 4

3. 7 + 4

4. 4 - 7

Q. For which of the following operations does commutative property hold true?

1. 3 - 4
2. 5 + 4
3. 5 ÷ 2
4. None of the above

Q. Verify a - (-b) = a + b for the following values of a and b.
a = 21, b = 18
[2 Marks]
[APSCERT]
[Addition of Integers]

Q. Add the following rational numbers:
(i) $\frac{-5}{7}\mathrm{and}\frac{3}{7}$
(ii) $\frac{-15}{4}\mathrm{and}\frac{7}{4}$
(iii) $\frac{-8}{11}\mathrm{and}\frac{-4}{11}$
(iv) $\frac{6}{13}\mathrm{and}\frac{-9}{13}$

Q. Which of them follows the commutative property of integers?

1. 
   $3÷2$
2. 
   $3\times 2$
3. 
   3 + 2
4. 
   3 - 2

Q.

Which of the following options is commutative under multiplication?

1. a x b = a

2. a x b = b x b

3. a x b = b x a

4. a x b = b

Q.

If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is __.

Q. Which of these operations are commutative for integers?

1. Addition
2. Subtraction
3. Multiplication
4. Division

Q. If a and b are integers such that,
a + b = b + a. This property of addition under integers corresponds to

1. Commutative Property
2. Associative Property
3. Closure Property

Q. Commutative property is satisfied in integer with respect to -

1. $-,\times$
2. $+,\times$
3. $-,÷$
4. $+,-$

Q. Which of the following is an example of commutative law ?

1. 
   $3\times 12$
2. 
   5 + 25
3. 
   $36÷5$
4. 
   32 - 4

Q. if rational no.s are closed under commutativity then -1/4 +5/4=1 and this is not a rational no.