Learn Class 7 Math - Integers

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.

Learning Videos for 7th Grade Math - Integers

Integers Sample Questions for Class 7

Question 1

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
A. $7
B. $34
C. $14
D. $2

Question 2

A skater goes 78 meters in 13 seconds. What is her speed?
A. 5 m/s
B. 6 m/s
C. 1014 m/s
D. 101 m/s

Question 3

What is a way to remember positive slope?
A. going down a mountain
B. zero slope
C. at the middle of a mountain
D. going up a mountain

Question 4

(-5)(-7)(5)(-3) gives a answer.
A. negative
B. positive

Question 5

At a pet store, there are 5 gerbils. The equation that represents the cost, C, of each gerbil, g, is C=19.23g. How many gerbils can Austin buy if he has $89.00?
A. 5
B. 4.6
C. He doesn't have enough money
D. 4