Introduction to integers rational irrational numbers:
Let us study about integers rational irrational numbers. Integer numbers are commonly seemed as the set of numbers that starts from infinite negative side to the infinite positive side.
Rational numbers are defined as numbers that can express themselves in the form of ratios as `m/n` where ‘n’ should not be equal to equal to ‘0’.
The numbers which cannot express themselves in the simple ratio are named as irrational numbers.
Integers Rational Irrational Numbers:
Example 1: Add the following numbers: 0.27, `3/2` , 1.52, -3, 2.5, 7.
Solution:
The given numbers are 0.27, `3/2` , 1.52, 3, 2.5, 7.
To add the given numbers the following steps are to be considered:
= 0.27 + `3/2` + 1.52 - 3 + 2.5 + 7
= 0.27 + 1.3 + 1.52 - 3 + 2.5 + 7 (do conversions of the fractions to decimal numbers)
= 9.59
Example 2: Subtract the following numbers by using same given order: 3.9, `4/5` , 0.13, 4, 1
Solution:
The given numbers are 3.9, `4/5` , 0.13, 4, 1.
To subtract the given numbers the following steps are to be considered:
= 3.9 – `4/5` – 0.13 – 4 – 1.
= 3.9 – 0.8 – 0.13 – 4 – 1. (do conversions of the fractions to decimal numbers)
= -2.03
Example 3: Do the multiplication process for the following numbers: 1.1, 0.4, 3, 9, `6/5` .
Solution:
The given numbers are 1.1, 0.4, 3, 9, `6/5` .
To add the given numbers the following steps are to be considered:
= 1.1 * 0.4 * 3 * 9 * `6/5` .
= 1.1 * 0.4 * 3 * 9 * 1.2 (do conversions of the fractions to decimal numbers)
= 14.256
Example 4:Do the division process for the numbers: `9/4.5` .
Solution:
= `9/4.5`
= 2
Exercises:
Add the following numbers: 0.2, 6, `11/5` , 4 (Answer: 12.4)
Subtract the following numbers by using same given order: 7, `5/8` , 1.3, 2. (Answer: 3.075)
Do the multiplication process for the following numbers: 0.09 0.3, `15/2` , 1, 7 (Answer: 1.4175)
Do the division process for the numbers: `2/0.5` (Answer: 4)
Let us study about integers rational irrational numbers. Integer numbers are commonly seemed as the set of numbers that starts from infinite negative side to the infinite positive side.
Rational numbers are defined as numbers that can express themselves in the form of ratios as `m/n` where ‘n’ should not be equal to equal to ‘0’.
The numbers which cannot express themselves in the simple ratio are named as irrational numbers.
Integers Rational Irrational Numbers:
Example 1: Add the following numbers: 0.27, `3/2` , 1.52, -3, 2.5, 7.
Solution:
The given numbers are 0.27, `3/2` , 1.52, 3, 2.5, 7.
To add the given numbers the following steps are to be considered:
= 0.27 + `3/2` + 1.52 - 3 + 2.5 + 7
= 0.27 + 1.3 + 1.52 - 3 + 2.5 + 7 (do conversions of the fractions to decimal numbers)
= 9.59
Example 2: Subtract the following numbers by using same given order: 3.9, `4/5` , 0.13, 4, 1
Solution:
The given numbers are 3.9, `4/5` , 0.13, 4, 1.
To subtract the given numbers the following steps are to be considered:
= 3.9 – `4/5` – 0.13 – 4 – 1.
= 3.9 – 0.8 – 0.13 – 4 – 1. (do conversions of the fractions to decimal numbers)
= -2.03
Example 3: Do the multiplication process for the following numbers: 1.1, 0.4, 3, 9, `6/5` .
Solution:
The given numbers are 1.1, 0.4, 3, 9, `6/5` .
To add the given numbers the following steps are to be considered:
= 1.1 * 0.4 * 3 * 9 * `6/5` .
= 1.1 * 0.4 * 3 * 9 * 1.2 (do conversions of the fractions to decimal numbers)
= 14.256
Example 4:Do the division process for the numbers: `9/4.5` .
Solution:
= `9/4.5`
= 2
Exercises:
Add the following numbers: 0.2, 6, `11/5` , 4 (Answer: 12.4)
Subtract the following numbers by using same given order: 7, `5/8` , 1.3, 2. (Answer: 3.075)
Do the multiplication process for the following numbers: 0.09 0.3, `15/2` , 1, 7 (Answer: 1.4175)
Do the division process for the numbers: `2/0.5` (Answer: 4)
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