HOW TO EXPRESS THE GIVEN NUMBERS IN SCIENTIFIC NOTATION

About "How to express the given numbers in scientific notation"

How to express the given numbers in scientific notation ?

Here we are going to see the steps involved in expressing the given numbers in scientific notation.

Step 1 :

Move the decimal point so that there is only one non-zero digit to its left.

Step 2 :

Count the number of digits between the old and new decimal point. This gives n, the power of 10.

Step 3 :

If the decimal is shifted to the left, the exponent n is positive. If the decimal is shifted to the right, the exponent n is negative.

Let us see some examples based on the above concept.

Example 1 :

Write the following number in scientific notation.

9345

Solution :

In the given number, we could not see the decimal point. So, we have to consider the decimal point is at last.

9345.

Now we have to shift this decimal point to the left side, three digits. So, we have to take positive power.

9.345 x 10^{3}

n = 3, because the decimal point is shifted three places to the left

Hence the answer is 9.345 x 10^{3}

Example 2 :

Write the following number in scientific notation.

3449098.96

Solution :

3449098.96

Now we have to shift this decimal point to the left side, six digits. So, we have to take positive power.

3.44909896 x 10^{6}

Example 3 :

Write the following number in scientific notation.

0.0063

Solution :

0.0063

Now we have to shift this decimal point to the right side, three digits. So, we have to take negative power.

6.3 x 10^{-3}

Example 4 :

Write the following number in scientific notation.

0.00008035

Solution :

0.00008035

Now we have to shift this decimal point to the right side, five digits. So, we have to take negative power.

8.035 x 10^{-5}

Example 5 :

Write the following number in scientific notation.

0.000108

Solution :

0.000108

Now we have to shift this decimal point to the right side, four digits. So, we have to take negative power.

1.08 x 10^{-4}

After having gone through the stuff given above, we hope that the students would have understood "How to express the given numbers in scientific notation".

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