What is the answer to the fraction of 93 to 1000 in decimal form?

Answer 1

The simplest technique when a number is being divided by a multiple of 10 is to count the number of zeroes in the divisor and move the decimal that many places to the left. For your question, 1000 has 3 zeroes so you must move the decimal three spots to the left.

93.0

9.30 ----> moved one spot

0.930 -----> moved two spots

0.0930 -----> moved three spots

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93 to 1000 represented first as a fraction is 93/1000

This is the same as 93 ÷ 1000

This the same as 93 ÷ (10 x 10 x 10)

OK Lets do one ten at a time)

93 ÷ (10 x 10 x 10) = (93÷10) ÷ (10 x 10)

= 9.3 ÷ (10 x 10)

Now the next 10

9.3 ÷ (10 x 10) = (9.3÷10) ÷ (10)

= 0.93 ÷ (10)

Last 10

0.93 ÷ 10 = 0.093

Therefore:

93/1000 = 0.093

We use a decimal number system which means we count using a system of tens. We write are numbers using ten symbols (0,1,2,3,4,5,6,7,8,9) in such a way that the position of each symbol also tells us by how many times to multiply each digit by 10. So a number like:

4372 really means (4 x 1000) + (3 x 100) + (7 x 10) + 2

To separate and identify whole numbers (integers) from fractional parts we use a decimal point. Anything after the decimal point uses the same format but since it is fractions of a whole, each position is also multiplied by reducing multiples of 10.

So 1.542 means 1 + (5 x 1/10) + (4 x 1/100) + (2 x 1/1000).

To multiply any number by 10 we use the shortcut of just adding a zero (0) immediately to the left of the decimal point bumping every other digit one place farther to ther left. Whole numbers may not have the decimal point as it is understood to be to the right of the last digit. We only use digits after the decimal point for fractions or if there are no fractional parts, we use zeros after the point to indicate the level of accuracy of a measured or calculated value. So 12.450 means not just 12 + 45/100 but more accurately, 12 + 450/1000. In other words, we are saying that we have measured or calculated the value and it is correct to within 0.0005 or ± 0.0005.