Numbers 1 || Number Systems || CAT Preparation 2021 || Quantitative Aptitude
Write the integral part of the decimal as it is.
Subtract the integral part from the given decimal to get the non-recurring part.
Count the number of digits in the recurring part and put that number of nines in the denominator
of the p/q fraction.
Count the number of digits in the recurring part and put the same number of nines in the
numerator, followed by subtraction of the non-recurring part.
Simplify the fraction if possible.
For example, if we have the number 0.2565656... , we can write it as 0.256 bar. We subtract the
non-recurring part from the given decimal, which gives us 256 - 2 = 254. We can put two nines
in the denominator and 254 in the numerator, which gives us the fraction 254/99.
Types of Numbers
There are different types of numbers:
Integers: All whole numbers, including negative numbers and zero, are integers.
Whole numbers: All positive integers and zero are whole numbers.
Natural numbers: All positive integers are natural numbers.
Odd numbers: Any number of the form 2k - 1 is odd.
Even numbers: Any number of the form 2k is even.Ordering Even Numbers
In this video, we will explore some questions related to ordering even numbers.
What are even numbers?
Even numbers are integers that are divisible by 2, i.e., numbers that leave a remainder of 0
when divided by 2. Examples of even numbers include 2, 4, 6, 8, 10, etc.
How do we order even numbers?
We can order even numbers in ascending or descending order, depending on our requirement.
To order even numbers in ascending order, we can arrange them from the smallest to the
largest. For example, if we have the even numbers 2, 6, 4, 8, and 10, we can order them in
ascending order as follows:
2
4
6
8
10
To order even numbers in descending order, we can arrange them from the largest to the
smallest. For example, if we have the even numbers 2, 6, 4, 8, and 10, we can order them in
descending order as follows:
10
Write the integral part of the decimal as it is.
Subtract the integral part from the given decimal to get the non-recurring part.
Count the number of digits in the recurring part and put that number of nines in the denominator
of the p/q fraction.
Count the number of digits in the recurring part and put the same number of nines in the
numerator, followed by subtraction of the non-recurring part.
Simplify the fraction if possible.
For example, if we have the number 0.2565656... , we can write it as 0.256 bar. We subtract the
non-recurring part from the given decimal, which gives us 256 - 2 = 254. We can put two nines
in the denominator and 254 in the numerator, which gives us the fraction 254/99.
Types of Numbers
There are different types of numbers:
Integers: All whole numbers, including negative numbers and zero, are integers.
Whole numbers: All positive integers and zero are whole numbers.
Natural numbers: All positive integers are natural numbers.
Odd numbers: Any number of the form 2k - 1 is odd.
Even numbers: Any number of the form 2k is even.Ordering Even Numbers
In this video, we will explore some questions related to ordering even numbers.
What are even numbers?
Even numbers are integers that are divisible by 2, i.e., numbers that leave a remainder of 0
when divided by 2. Examples of even numbers include 2, 4, 6, 8, 10, etc.
How do we order even numbers?
We can order even numbers in ascending or descending order, depending on our requirement.
To order even numbers in ascending order, we can arrange them from the smallest to the
largest. For example, if we have the even numbers 2, 6, 4, 8, and 10, we can order them in
ascending order as follows:
2
4
6
8
10
To order even numbers in descending order, we can arrange them from the largest to the
smallest. For example, if we have the even numbers 2, 6, 4, 8, and 10, we can order them in
descending order as follows:
10
