Question

How to solve big questions of linear equation especially in decimals

Answer 1

terminating decimals are rational numbers (fractions) in which the
denominators are powers of 10, such as 10, 100, and so on. For example, 0.3 = 3/10 and 0.25 = 25/100 .
Consider an equation that contains these two fraction:
3/10 x = 25/100 x + 1. We can clear the fractions by
multiplying each side by the LCD of 100, changing it to an equation of integers: 30x = 25x + 100.
If this same equation is written with decimals instead of fractions, it would be 0.3x = 0.25x + 1.
Because this is the same equation, we also can multiply each side by 100, but this time we will clear the
decimals.
One major distinction, when clearing decimals, is to prepare the equation by first writing each constantand coefficient with the same number of decimal places.
For example, each number in the equation 0.3x = 0.25x + 1 can be written with two decimal places:
• For 0.3, we can place one zero at the end of the number: 0.3 = 0.30
• For 1, we can place a decimal point and two zeros at the end of the number: 1 = 1.00
• 0.25 already has two decimal places, so no change is necessary.
30x=25x+100
5x=100
x=20