Properties of Addition and Subtraction of Integers

Q.

Question 75

Write two integers whose sum is 6 and difference is also 6.

Q.

Question 60

Compute each of the following:

(a) 30 + (-25) + (-10) (b) (-20) + (-5)

(c) 70 + (-20) + (-30) (d) -50 + (-60) + 50

(e) 1 + (-2) + (-3) + (-4) (f) 0 + (-5) + (-2)

(g) 0 - (-6) - (+6) (h) 0 - 2 - (-2)

Q.

Question 13

The additive inverse of a negative integer

(a) is always negative

(b) is always positve

(c) is the same integer

(d) zero

Q.

Question 42

The additive inverse of 14 is ............

Q.

Question 68

Write the integer which is 2 less than its additive inverse.

Q.

The successor of $-5$ is

1. $-4$

2. $-6$

3. $4$

4. $6$

Q.

Question 36.

State True/False

The difference between an integer and its additive inverse is always even.

Q. What is the additive inverse of 21?

1. -21
2. 12
3. -12
4. 21

Q.

Question 37.

State True/False

The sum of an integer and its additive inverse is always zero.

Q.

The sum of two integers is $-50$. If one of them is $-100$, find the other.

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

1. 21 $\times$ 1 =21
2. 5 $\times$ (6 + 7) = 5 $\times$ 6 + 5 $\times$ 7
3. 12 + 32 = 32 + 12
4. 12 + 0 = 12

Q.

Closure property does not hold good for the operation of subtraction of whole numbers.

1. True
2. False

Q.

Find each of the following products using properties:

$4980\times 507$

Q.

The successor of $-98$ is $\left(\_\_\_\right)$

Q.

Question 44.

Answer True/False.

The additive inverse of an integer x is 2x.

Q.

Associative property for addition holds good for only 3 numbers.

1. True

2. False

Q.

$64:9::81:?$

Q.

In a quiz, team A scored $-40,10,0$ and team B scored $10,0,-40$ in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

Q.

Verify the commutative property for multiplication of integers $8$and $(-4)$.

Q.

Find the predecessor of each of the following integers.

$-4000$

Q. Find the sum of first 8 consecutive whole numbers.

Q.

Give expression when $25$ is added to $\mathrm{r}$

Q. What does closure property mean?

1. Changing the order of the operands does not change the result
2. When you perform an operation on any two numbers in a set, the result is another number in the same set.
3. A transformation that leaves an object unchanged.
4. When you perform an operation on any two numbers in a set, the result doesn't belong to the same set.

Q.

State the property in p + (q + r) = (p + q) + r of addition.

Q.

When we change the order of integers their difference remains the same. State whether the statement is True or False.

1. True
2. False

Q.

Subtract the following.

$-13$ from $25$

Q.

Find the predecessor of each of the following integers.

$-499$

Q.

Subtracting a term from a given expression is the same as adding its additive inverse to the given expression. State whether the statement given is true or false.

1. True
2. False

Q.

Tick the correct answer from the four alternatives:

$3000000+30000+300+3$ can be written as

1. $3333$

2. $303030$

3. $3030303$

4. $3333000$

Q.

Using the distributive property of multiplication over addition/subtraction of whole numbers, find each of the following product.

$256\times 35$