Magnitude! Lesson

10 Slides • 4 Questions

1

Magnitude!

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Powers of Ten

$10^{-2}=\frac{1}{10^2}=\frac{1}{100}=.01$ one one-hundredth

$10^{-1}=\frac{1}{10^1}=\frac{1}{10}=0.1$ one tenth

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Remember:

With negative exponents, the bigger the negative exponent, the smaller the number
With positive exponents, the bigger the exponent, the bigger the number

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Which is smaller?

$10^{-4}\ or\ 10^{-10}$ ?

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Which is bigger?

$10^{30}\ or\ 10^5$ ?

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Multiple Choice

Pick the biggest number:

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$10^4$

2

$10^{25}$

3

$10^{13}$

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Multiple Choice

Pick the biggest number:

1

$89^{300}$

2

$89^6$

3

$89^{45,000}$

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Multiple Choice

Pick the smallest number:

1

$3^{-56}$

2

$3^{-10}$

3

$3^{-4}$

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Multiple Choice

Pick the smallest number:

1

$10^{-65}$

2

$10^{-200}$

3

$10^{-34}$

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Time to watch a video!

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How do digits relate to exponents?

$10^0=1$ (1 digit)
$10^1\ =\ 10$ (2 digits)
$10^2\ =\ 100$ (3 digits)
$10^3\ =\ 1000$ (4 digits)
Predict: how many digits is $10^4$ ?
How many digits is $10^5$ ?
How many digits is $10^{13}$ ?

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The world population:

7,815,574,754 people

How many digits does this number have?
What power of ten has the same number of digits?

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The US national debt:

$26,823,745,743,842

How many digits does this number have?
What power of ten has the same number of digits?

Magnitude!

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