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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

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