Properties of Addition and Subtraction of Integers

Q.

Which is a pair of integers whose sum gives

(a) a negative integer (b) zero

(c) an integer smaller than both the integers.

(d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.

Q.

Write a negative integer and a positive integer whose difference is $-3$.

Q.

Question 1(a)
Write down a pair of integers whose:
Sum is - 7

Q. Reveal the magic trick of finding other birthdate and month by simple math trick

Q.

There are $10$ true-false questions in an examination. Then, these questions can be answered in how many ways $?$

1. $240$ ways

2. $20$ ways

3. $1024$ ways

4. $100$ ways

Q.

Write down a pair of integers whose sum is $-7$.

Q.

Write a pair of negative integers whose sum gives 8

Q.

Closure property does not hold good in integers for

1. multiplication

2. division

3. addition

4. subtraction

Q. Find a pair of negative integers whose sum is -8.

Q.

Question 1(c)
Write down a pair of integers whose:
Sum is 0

Q. When you add two negative integers , the answer will be _________ .

1. a positive integer
2. a negative integer
3. zero
4. (a) and (b) above.

Q.

Express the following numbers using the exponential notation:

(i) $512$ (ii) $343$

(iii) $729$ (iv) $3125$

Q.

Verify $18\times (7+(-3\left)\right)=\left(18\times 7\right)+\left(18\times (-3)\right)$:

Q.

When Ted entered the class, Mr. McMurphy was teaching integers!! Ted didn’t even know what was going on in the class before, but, the moment he heard the word ‘integer’ from his mouth, he became super attentive. Suddenly, Mr. McMurphy started asking questions.

He said: “If you add or subtract two integers, the result will always be an integer. What is this property called?” Thinking that anytime he could ask him, Ted started looking at the book for the answer. To his relief, one of his classmates gave right answer. The right answer was -

1. Distributive Property

2. Commutative Property

3. Closure Property

4. Associative Property

Q. Calculate the value of the following expression:
[(-25) × 32] × (-8)

1. 6, 400
2. 3, 200
3. 2, 300
4. 4, 600

Q.

Out of (-7), (-5), (-3), 1, 4, 7, find a pair of integers whose sum is:

a) -2 b) 2 c) 0

Q.

If $aandb$ are two negative integers such that $a>b$, then $a-b$is always ___________________

Q.

-5 + 9 + (-5) + (-10) + (1) is equal to

1. 10

2. 13

3. -10

4. -13

Q.

Which of the following statements is true?

1. Integers follow the closure property for multiplication

2. Integers are not closed under multiplication

3. Only positive integers follow the closure property for multiplication

4. Only negative integers follow the closure property for multiplication

Q. What should be added to 16 to get(-31).

Q.

Simplify the expression and find the value if $x=2$

$x+7+4\left(x-5\right)$

Q.

If the lowest temperature in Gulmarg in Kashmir was $-{10}^{\circ }C$ in January and in summer the temperature rose by ${43}^{\circ }C$ and reached the maximum temperature, what was the maximum temperature that year?

1. ${43}^{\circ }C$

2. $-{33}^{\circ }C$

3. ${53}^{\circ }C$

4. ${33}^{\circ }C$

Q.

At Srinagar temperature was − 5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

Q.

Question 4(iv)
Fill in the blanks to make the following statements true:
[13 + (- 12)] + (...) = 13 + [(- 12) + (- 7)]

Q.

Solve using suitable properties

$8\times 53\times (-125)$

Q. Find the value of:
(i) (-24) + 36 = _____ and
(ii) 36 + (-24) = _____

1. -12, -12
2. 12, -12
3. 12, 12
4. -12, 12

Q.

Name the property used:

1) $40+(-37)=-37+40$

2.) $15-103$ is an integer.

3.) $-21+70$ is an integer.

4.) $(-15+7)+(-18)=-15+(7+(-18\left)\right)$

Q.

Question 100 (iii)

Express the following property with variables x, y and z.

Associative property of addition

Q.

Which of the following options illustrate commutative property?

1. a + b = b + a

2. a – b = b + a

3. a ÷ b = a ÷ b

4. a × b = b × a

Q.

Which integer is 15 more than -13?

1. -2

2. +2

3. -26

4. 26