Math - Scientific Notation - Challenge

In this lecture we looked at how we can use scientific notation to represent very large and very small numbers.

Your challenge is to;

  1. Convert the number 310,200,000 to scientific notation
  2. Convert 2.56 x 10^(-4) back to a normal decimal representation

Pop your answer below and remember to use the spoiler tags.

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i) 3.102 * 10^8
ii) 0,000256

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1: Converts to 3.102E8 or 3.102x10^8

2: Converts to .000256

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  1. 3.102 x 10^8

  2. 0,000256

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1. 3.102 x 10^8

2. .000256

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Here my answer:

  1. 3.102 x 10^8
  2. 0.000256
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3.102E8

and

0.000256

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310,200,000=3.102βˆ—10^8

2.56βˆ—10^(βˆ’4) = 0.000256

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Here Are Quick Answers

3.102 E8
0.000256

Lets Move On To Next Section

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Challenge Answers

  1. 3.102*10^8

  2. .000256

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310,200,000

3.102 * 10^8

2.56 * 10^-4

.00256

You’re almost there @PennyC99, just double check your answer for the second one.

0.00256 = 2.56 x 10^-3, so you need to move the decimal one more place to the left.

310,200,000 to scientific notation = scientific notation: 3.102 X 108

2.56 X 10-3 to normal decimal representation = .00256

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310,200,000 = 3.102 * 10^8
2.56 * 10^(-4) = 0.000256

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310,200,000 in sn = 3.102E8 or 3.102 x (10^8)
2.56E-4 = 0.000256

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310,200,000 = 3.102^8
2.56x10^-4 = 0.000256

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Challenge Answers

  1. 3.102E8

  2. 0.000256

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310,200,000 should convert to 3.102x10^8, or 3.102E8

2.56x10^(-4), or 2.56E(-4) should convert to 0.000256

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310,200,000 converts to 3.102E8

2.56E-4 converts to 0.000256

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310,200,000 converts to 3.10210^8
2.56
10^-4 converts to .000256

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