Learn Class 10 Math - Real Numbers

Real numbers are the complete set of rational or irrational numbers. The real numbers are denoted by R.

Every rational & irrational number is a real number. Natural numbers, whole numbers, and integers are other parts of the number system.

Rational number

Rational numbers are such numbers that can be presented in the p/q form.
In the rational number form q is not equal to zero.
The representation symbol of a rational number is Q.
In two rational numbers, there are infinite rational numbers.
All integers are rational numbers.
But all rational numbers are not integers.

Natural number

The number starts from 1 and moves on to infinite numbers.
The natural numbers are presented by N.

Whole number

The number starts from 0, 1, 2, and moves on.
The whole numbers are presented by W.

Integers

The integers are the complete set of positive and negative numbers.
The integers are represented by Z.

Prime number

The number can be divided by one and by itself.
There are two factors of prime numbers.
And 1 is not a prime number.

Learning Videos for 10th Grade Math - Real Numbers

Real Numbers Sample Questions for Class 10

Question 1

Carrie wished to build a rectangular dog run along the side of her garage. The garage will serve as one side of the fence. If she has 180 feet of fencing and wishes the fence to be 4 times as long as it is wide, how many square feet will the fencing enclose?

A. 180

B. 1800

C. 3600

Question 2

What is the explicit function of the geometric sequence 3, 4.5, 6.75, ...?

A. f(n)=1.5f(n-1) where f(1)=3

B. f(n)=3*1.5^(n-1)

C. f(n)=1.5*3^(n-1)

D. f(n)=3f(n-1) where f(1)=1.5

Question 3

Factor the expression.x^4 - y^4

A. (x - y)^4

B. (x^2 + y^2)(x + y)(x - y)

C. (x^2 + y^2)(x^2 - y^2)

D. Can't be factored

Question 4

Factor by finding the GCF (Greatest Common Factor).3x+9y

A. 3

B. 3(x+3y)

C. 12y

D. 12xy

Question 5

A student took 60 minutes to answer a combination of 20 multiple choice and extended-response questions. She took 2 minutes to answer each multiple choice and 6 minutes to answer each extended response. How many extended response questions were on the test?

A. 15

B. 5

C. 10

D. None of the above