# CONVERTING SCIENTIFIC NOTATION TO STANDARD FORM WORKSHEET

Converting Scientific Notation to Standard form Worksheet :

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

## Converting Scientific Notation to Standard form Worksheet - Problems

Problem 1 :

Write the following number in standard form.

5.236 x 105

Problem 2 :

Write the following number in standard form.

6.415 x 10-6

Problem 3 :

Write the following number in standard form.

1.72 x 109

Problem 4 :

Write the following number in standard form.

0.00023 x 107

Problem 5 :

Write the following number in standard form.

0.036 x 10-3

Problem 6 :

Write the following number in standard form.

2.05852 x 105

Problem 7 :

Write the following number in standard form.

3.44909896 x 106

Problem 8 :

Write the following number in standard form.

8.035 x 10-5 ## Converting Scientific Notation to Standard form Worksheet - Solutions

Problem 1 :

Write the following number in standard form.

5.236 x 105

Solution :

Here, the exponent of 10 is positive 5. So we have to move the decimal point five digits to the right.

In 5.236, we have only three digits after the decimal point.

So, we have to add two zeros to move the decimal point five digits to the right.

Therefore, the standard form of 5.236 x 105 is

523600

Problem 2 :

Write the following number in standard form.

6.415 x 10-6

Solution :

Here, the exponent of 10 is negative 6. So we have to move the decimal point six digits to the left.

In 6.415, we have only 1 digit before the decimal point.

So, we have to add five zeros to move the decimal point six digits to the left.

Therefore, the standard form of 6.415 x 10-6 is

0.000006415

Problem 3 :

Write the following number in standard form.

1.72 x 109

Solution :

Here, the exponent of 10 is positive 9. So we have to move the decimal point nine digits to the right.

In 1.72, we have only two digits after the decimal point.

So, we have to add seven zeros to move the decimal point nine digits to the right.

Therefore, the standard form of 1.72 x 109 is

1720000000

Problem 4 :

Write the following number in standard form.

0.00023 x 107

Solution :

Here, the exponent of 10 is positive 7. So we have to move the decimal point seven digits to the right.

In 0.00023, we have only five digits after the decimal point.

So, we have to add two zeros to move the decimal point seven digits to the right.

Therefore, the standard form of 0.00023 x 107 is

2300

Problem 5 :

Write the following number in standard form.

0.036 x 10-3

Solution :

Here, the exponent of 10 is negative 3. So we have to move the decimal point three digits to the left.

In 0.036, we don't have any non zero digit before the decimal point.

So, we have to add three zeros to move the decimal point three digits to the left.

Therefore the standard form of 0.036 x 10-3 is

0.000036

Problem 6 :

Write the following number in standard form.

2.05852 x 105

Solution :

Here, the exponent of 10 is positive 5. So we have to move the decimal point five digits to the right.

In 2.05852, we have five digits after the decimal point.

So, we don't have to add zeros.

Therefore, the standard form of 2.05852 x 105 is

205852

Problem 7 :

Write the following number in standard form.

3.44909896 x 106

Solution :

Here, the exponent of 10 is positive 6. So we have to move the decimal point six digits to the right.

In 3.44909896, we have eight digits after the decimal point.

Therefore, the standard form of 3.44909896 x 106 is

3449098.96

Problem 8 :

Write the following number in standard form.

8.035 x 10-5

Solution :

Here, the exponent of 10 is negative 5. So we have to move the decimal point five digits to the left.

In 8.035, we have only one digit before the decimal point.

So, we have to add four zeros to move the decimal point five digits to the left.

Therefore, the standard form of 8.035 x 10-5 is

0.00008035 After having gone through the stuff given above, we hope that the students would have understood how to convert scientific notation into standard form.

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