EXPRESS THE GIVEN NUMBERS IN SCIENTIFIC NOTATION WORKSHEET

Express the Given Numbers in Scientific Notation Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on converting numbers from standard form to scientific notation.

Express the Given Numbers in Scientific Notation Worksheet - Questions

(1) Write the following number in scientific notation.

9345

(2) Write the following number in scientific notation.

3449098.96

(3) Write the following number in scientific notation.

0.0063

(4) Write the following number in scientific notation.

0.00008035

(5) Write the following number in scientific notation.

0.000108

(6) Write the following number in scientific notation.

205852

Express the Given Numbers in Scientific Notation Worksheet - Solutions

Question 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 10³

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

Hence the answer is 9.345 x 10³

Question 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 10⁶

Question 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

Question 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

Question 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

Question 6 :

Write the following number in scientific notation.

205852

Solution :

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

205852.

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

2.05852 x 10⁵

n = 5, because the decimal point is shifted five places to the left

Hence the answer is 2.05852 x 10⁵

After having gone through the stuff given above, we hope that the students would have understood how to convert numbers from standard form to scientific notation worksheet.

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