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Appropriate Units and Scales Videos 17 videos

CAHSEE Math 4.1 Mathematical Reasoning
198 Views

Mathematical Reasoning Drill 4 Problem 1. Approximately how many gallons of paint is needed if eight people paint the wall together for an hour?

CAHSEE Math 4.2 Mathematical Reasoning
182 Views

Mathematical Reasoning Drill 4, Problem 2. How many people failed to return the survey?

CAHSEE Math 4.3 Mathematical Reasoning
180 Views

Mathematical Reasoning Drill 4, Problem 3. For approximately how long did the pie remain higher than the three-story building?

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CAHSEE Math 1.2 Measurement and Geometry 191 Views


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Description:

CAHSEE Math Measurement and Geometry: Drill Set 1, Problem 2. Convert the value to meters per second.

Language:
English Language

Transcript

00:02

Here's an unshmoopy question you'll find on an exam somewhere in life...

00:08

Seventy-two kilometers per hour (km/h) is how many meters per second (m/s)?

00:12

Here are the potential answers...

00:17

This question is asking us to convert --

00:21

and to get the units right.

00:23

We have 72 KILOMETERS per HOUR which we want

00:27

to convert to METERS per SECOND.

00:30

Let's start by getting half way there and make it meters per hour.

00:34

Okay, so "KILO" means a thousand.

00:38

So 72 kilometers per hour is 72 thousand meters per hour.

00:43

Now to get hours converted into seconds.

00:46

Well, an hour has 60 minutes, which has 60 seconds...

00:49

so 60 times 60 gets you 3,600 seconds in an hour.

00:54

Go ahead and count 'em if you want to double-check. It's your hour.

00:58

The new equation then should be 72,000 over 3,600, and that's meters per second.

01:05

All we have to do now is reduce the number and we're there.

01:08

Cross out the 2 zeros here and here... and we have 720 over 36.

01:13

36 goes into 72 twice... and we have 20...

01:17

and our answer is B -- 20 meters per second.

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