SCIENTIFIC NOTATION WITH NEGATIVE POWERS OF 10 WORKSHEET

Problem 1 :

Write the given number in scientific notation. 

0.00006

Problem 2 :

Write the given number in scientific notation. 

0.000216

Problem 3 :

Write the given number in scientific notation. 

0.0000009

Problem 4 : 

The average size of an atom is about 0.00000003 centimeter across. Write the average size of an atom in scientific notation.

Detailed Answer Key

Problem 1 :

Write the given number in scientific notation. 

0.00006

Solution :

In the given number, number of digits from decimal point up to the first non zero digit is 5. 

So, the decimal point has to be moved 5 digits to the right and exponent of 10 should be -5 (negative integer).

Therefore, 

0.00006  =  6.0 x 10^-5

Problem 2 :

Write the given number in scientific notation. 

0.000216

Solution : 

In the given number, number of digits from decimal point up to the first non zero digit is 4.

So, the decimal point has to be moved 4 digits to the right and exponent of 10 should be -4 (negative integer).

Therefore,

0.000216  =  2.16 x 10^-4

Problem 3 :

Write the given number in scientific notation. 

0.0000009

Solution : 

In the given number, number of digits from decimal point up to the first non zero digit is 7.

So, the decimal point has to be moved 7 digits to the right and exponent of 10 should be -7 (negative integer).

Therefore, 

0.0000009   =  9.0 x 10^-7

Problem 4 : 

The average size of an atom is about 0.00000003 centimeter across. Write the average size of an atom in scientific notation.

Solution : 

In 0.00000003, number of digits from decimal point up to the first non zero digit is 8.

So, the decimal point has to be moved 8 digits to the right and exponent of 10 should be -8 (negative integer)

0.00000003  =  3.0 x 10^-8

Therefore, the average size of an atom in scientific notation is about 

3.0 x 10^-8 centimeter across

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