 # Math - Scientific Notation - Challenge

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

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

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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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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=3.102∗10^8

2.56∗10^(−4) = 0.000256

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3.102 E8
0.000256

Lets Move On To Next Section

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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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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

1 Like