The term integer is a wide concept that includes various things, including the natural number and whole number.
Natural numbers are numbers that start from 1 and move on. In comparison, the whole numbers are the set of numbers that start from 0 and move on.
Properties of integers
The integer consists of various properties, including addition, subtraction, multiplication, and division.
1. The property of addition
- The commutative property of addition is a + b = b + a.
- The associative property of addition consists of three integers,i.e., (a + b) + c = a + (b + c).
2. The property of multiplication
- The commutative property related to multiplication is a x b = b x a.
- The multiplicative identity is a x 1 = 1 x a = a. This one is known as the multiplicative integer.
- The multiplication by 0 always results in 0.
3. The property of division:
- The property of division includes dividing the different sets of numbers,i.e., positive and negative numbers.
- When a positive number gets divided by a positive number, the result will always come in a positive number.
- When a negative number gets divided by a negative number, the result will always be a positive number.
- And when a positive number gets divided by a negative number, the result will come in a negative number.
Integers Sample Questions for Class 7
Question 1
Compare :
(-22)+(31)+(-45) ______ (-2)×(-10)+3
A. >
B. <
C. =
D. None of the above
Question 2
The submarine is 10 m below the sea level, then it rises 25 m . What will be the current position of submarine from sea level?
A. 15 m above sea level
B. 15 m below sea level
C. 35 m below sea level
D. 35 m above sea level
Question 3
A person walks 100 m in North and then 45 m towards South and again 30 m towards North. What is the difference between initial position and current position?
A. 45 m towards South
B. 65 m towards South
C. 85 m towards North
D. 65 m towards North
Question 4
At Saturday temperature of Manali was -4°C , Sunday it rose by 2 °C and then Monday is fell by 3°C. What is the temperature on Monday and Sunday respectively?
A. -5°C, -2°C
B. -2°C, -7°C
C. -2°C, -5°C
D. -5°C, -7°C
Question 5
If 56 - (-34) + (-22) + k = -25, what is value of k?
A. -56
B. -93
C. 87
D. 90