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:
(-24)-(-34)+(-45) ______ (24)-(34)+(45)
A. >
B. =
C. <
D. None of the above
Question 2
Find the difference between product of -15 and 23 and sum of -123 and -78.
A. -149
B. -546
C. -144
D. 546
Question 3
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 4
If 56 - (-34) + (-22) + k = -25, what is value of k?
A. -56
B. -93
C. 87
D. 90
Question 5
The sum of two integers is -82. One of the integer is 2 less than the other integer. What are the integers?
A. -92,10
B. -22,-60
C. -40,-42
D. -,102,20