Subtracting numbers in scientific notation can be done in few ways.

One way is to change the numbers out of scientific notation and work the problem normally.

**Example:** change 9.3 x 10^{3} - 8.63 x 10^{2} into 9300 - 863. Then we subtract normally to get 8.437 x 10^{3}.

Its an simplest way of working when the numbers are not very large or not very small.

Scientific notation is a form, where the scientific terms that expressing very large or very small numbers in an easiest form. Numbers written in scientific notation can be used in computations (x, ÷, +, –) with ease. Writing the numbers in the form of K x mRelated Calculators | |

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The following are the steps involved in Subtracting Numbers with Scientific Notation

** **

**Step 1:** Adjust the coefficient of both the numbers to make exponent equal for both the numbers. (It is better to easily adjust the smaller index to equal the larger index).

**Step 2:** Now subtract the smaller coefficient from the larger coefficient of the numbers.

** Step 3: **Write the difference in scientific notation.

Below are the examples on** **subtracting numbers using scientific notations:

**Step 1: Adjust the co-efficient of both the numbers to make exponent equal for both the numbers.**

Here** **2.3 x 10 ^{4 }having the smaller power.

We can write 2.3 x 10 ^{4 }as 0.23 x 10 ^{5}

Now 4.5 x 10 ^{5 }and 0.23 x 10 ^{5} have the same powers.

**Step 2: **Subtract the coefficient of 0.23 x 10 ^{5} from the coefficient of 4.5 x 10 ^{5 }

4.5 x 10 ^{5 }- 0.23 x 10 ^{5 }= 4.5 - 0.23

= 4.27

**Step 3:** Writing the result in scientific form

Hence, Subtracting scientific notation 4.5 x 10 ^{5}- 2.3 x 10 ^{4} = **4.27 x 10 ^{5}**

**Step 1: **Adjust the coefficient of both the numbers to make exponent equal for both the numbers.

Here** **0.625 x 10^{2} having the smaller power. We can 0.625 x 10^{2} as 0.0625 x 10 ^{3}

Now, 1.15 x 10^{3 }and 0.0625 x 10 ^{3} have same powers.

**Step 2: **Greater coefficient is 1.15 and lower coefficient is 0.0625, Subtract 0.00625 from 1.15

1.15 - 0.0625 = 1.0875

**Step 3:** Writing the result in scientific form

1.15 x 10^{3 }- 0.625 x 10^{2} = **1.0875 x 10**^{3 }

**Step 1:** Adjust the coefficient of both the numbers to make exponent equal for both the numbers.

Here, 15.2 x 10^{5} and 34.3 x 10^{5 } both has the same power

**Step 2: **Subtract the coefficient of 15.2 x 10^{5} from the coefficient of 34.3 x 10^{5 }

34.3 - 15.2 = 19.1

**Step 3:** Writing the result in scientific form

34.3 x 10^{5 }- 15.2 x 10^{5 }= **19.1 x 10 ^{5}**

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