Intro To Standard Form

 This lesson covers:

  1. What standard form is
  2. How to convert standard form to normal numbers 

When using standard form, as in the following expression, what does the A represent? 


A x 10n

The front number

The power (also known as the index or exponent) 

The decimal

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What range of values can the front number be? 

1 ≤ A ≤ 10

1 < A ≤ 10

1 ≤ A < 10

1 < A < 10

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In the following expression what does the n represent? 


A x 10n

The front number 

The decimal point

The power (also known as the index or exponent)

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What values can the power be?

Any integer (an integer is just a whole number)

Any number 

Any positive number 

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If n = 5, as in the following expression, what does it mean? 


A x 105

A − 10 − 10 − 10 − 10 − 10

A ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10

A + 10 + 10 + 10 + 10 + 10

A × 10 × 10 × 10 × 10 × 10

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How could you calculate 6 x 10?

6 × 10 × 10 × 10

6 ÷ 10 ÷ 10 ÷ 10

6 + 10 + 10 + 10

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What is 6 x 10?

6000

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Calculate 3.7 x 104.

37000

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Calculate 4.3 x 10-3.


0.0043

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Calculate 8.23 x 105.


823000

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Calculate 0.0347 x 103.

34.7

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Calculate 0.0345 x 10-2.


0.000345

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Calculate 0.007464 x 104.

74.64

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