The study of exponents help us to express very large number such as 6,000,000,000 which is 6 x 10

• 1.2 ×10

• 7.89 × 10

( 0< number < 10)

Scientific Notation |
Standard Form |

4.23 ×10^{2} |
423 |

4.23 × 10^{3} |
4,230 |

4.23 ×10^{4} |
42,300 |

4.23 ×10^{5} |
423,000 |

4.23 ×10^{6} |
4,230,000 |

1) 418500

As there is no decimal so consider the decimal after the number

= 418500

The decimal will shift 5 places to left, so the exponent of 10 is positive.

<

= 4.18 x 10

2) 26000000000

= 2.6 x 10

3) 0.0000056

As there is decimal

The decimal will shift 6 places to right, so the exponent of 10 is negative.

<

= 5.6 x 10

4) 0.0000826

= 8.26 x 10

5) 0.0000012 x 2500000000

Write each number in scientific-notation

0.0000012 = 1.2 x 10

2500000000 = 2.5 x 10

So, 0.0000012 x 2500000000 =(1.2 x 10

= 3 x 10

= 3 x 10

= 3000

• Laws of Exponents

• Rational Exponents

• Integral Exponents

• Scientific notation

• Solved examples on Scientific-Notation

• Solved Examples on Exponents

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers