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CAHSEE Math Videos 210 videos

CAHSEE Math 1.1 Statistics, Data, and Probability I
406 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 1. What is the mean yearly salary?

CAHSEE Math 1.2 Statistics, Data, and Probability I
198 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 2. What is the median length of these writing utensils?

CAHSEE Math 1.3 Statistics, Data, and Probability I
209 Views

CAHSEE Math Statistics, Data, and Probability I: Drill Set 1, Problem 3. The mode of the number of days in each month for a single non-leap year is...

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CAHSEE Math 1.3 Number Sense 453 Views


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Description:

CAHSEE Math Number Sense: Drill Set 1, Problem 3. Which of the following numbers is the largest?

Language:
English Language

Transcript

00:03

Here's a boring, unshmoopy question you'll find on some exam somewhere in life...

00:08

Which of the following numbers is the largest:

00:10

Here are the potential answers...

00:19

So... in this scientific notation problem, there are a few we can rule out real quick.

00:24

Note that A and B are taken to the NEGATIVE power of 2...

00:27

...which means that they are small numbers...

00:30

...even though in A's case, it starts out with a big fat 12 to the left of the decimal.

00:34

That negative exponent means there's going to be some shrinkage.

00:40

So that leaves us with C and D.

00:43

In this case, both are only 10 squared, which we know is 100.

00:48

So for C, we have 1.23 x 100, which is just 123.

00:53

And in option D, 0.123 times 10 squared means that we shift the decimal two places to the

01:00

right to get 12.3.

01:02

So C is bigger and yep, that's the answer.

01:06

Now if you'll excuse us, we're going to try consoling options A and B.

01:10

They have positive exponent envy.

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