Rational numbers are the number set that includes many numbers in the form of p/q, in which q is not equal to 0. This set of numbers, whether natural numbers, whole numbers, integers, or any.
Numerator & Denominator
In rational numbers, i.e., p/q, p is the numerator.
And in p/q, q is known as the denominator.
Example: ⅔, 2 is the numerator, and 3 is the denominator.
Types of rational numbers
Rational numbers are of many types. Such as:
Equivalent number
When the rational numbers get multiplied with the same number on both sides, i.e., numerator and denominator, it forms another rational number set.
Positive number
The positive set of rational numbers is the one that consists of both numerator and denominator positive.
Example: 5/7, 4/5.
Negative number
The positive set of rational numbers is the one that consists of both numerator and denominator negative.
Example: -2/3, -5/7.
Position of rational numbers on a number line
On the number line, the rational numbers are divided according to types.
The positive numbers will always be presented on the right side of zero.
And negative numbers are always on the left side of zero.
Note: If the denominator is negative, the complete number is negative.
Learning Videos for 7th Grade Math - Rational Numbers
Ms. Blanton had seven cats. Three ran away to start a new life in Florida. Mrs. Blanton was so distraught that she immediately went to the SPCA and adopted five new cats. How many cats does Ms. Blanton now have?
A. 15
B. 12
C. 9
D. 7
Question 2
A local newspaper of a small town wants to find out if the mayor of the town is popular with its citizens. Which of the following samples should be used by the newspaper?
A. A random sample of people from the mayor's political party
B. A random sample of people selected from all adult citizens of the town
C. A random sample of people selected from all people registered with a political party
D. A random sample of people selected from all middle class citizens of the town
Question 3
15% is to be added to a $120 pair of shoes. Find the total price for the pair of shoes.
A. $138
B. $130
C. $135
D. $102
Question 4
You roll 2 dice. How likely is it that you roll a 2 and a 5?
A. certain
B. likely
C. unlikely
D. impossible
Question 5
As a salesperson you get $50/day and $2.60/each sale you make. If you want to make at least $89 in one day, how many sales would you need to make?