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Playlist ACT® Pre-Algebra 34 videos

0
ACT Math 1.1 Pre-Algebra
1061 Views

Pre-Algebra Drill 1, Problem 1. Calculate 23 + 53(7 – 4).

1
ACT Math 3.1 Pre-Algebra
298 Views

ACT Math: Pre-Algebra Drill 3, Problem 1. Calculate (0.3)4.

2
ACT Math 1.2 Pre-Algebra
891 Views

ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?

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ACT Math 3.1 Pre-Algebra 298 Views


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Description:

ACT Math: Pre-Algebra Drill 3, Problem 1. Calculate (0.3) 4 .

Language:
English Language

Transcript

00:03

Shmooper-califragilistic-mathialidocious...

00:07

Calculate: point-3 to the 4th power.

00:10

And here are the potential answers...

00:14

OK, so what's this exponent problem testing?

00:17

It's really all about the concept of multiplying numbers SMALLER than 1.

00:21

If we think about it -- and yeah, it may hurt...

00:25

...1 times 1 times 1... is always gonna be 1. That's why it's the loneliest number.

00:31

And if we multiply a number a bit bigger than 1 again and again and again like an infinite

00:37

number of times, our result will... also be infinite.

00:41

But if a number is SMALLER than 1 and we multiply it a bunch of times, it'll get closer and

00:48

closer to... zero.

00:49

In this case, we are multiplying less than a third of 1... so at the end of the day it

00:55

should be a really small number because we are multiplying it 4 times.

01:00

Just understanding this concept generally, we can get rid of B and D immediately... and

01:05

A as well, really.

01:07

But if we just brute force the math, we get point 3 times point 3 which is point ZERO

01:13

9.

01:14

There were TWO units to the right of the decimal -- here and here...

01:17

...so we need two units to the right of the decimal in our answer.

01:21

Now we multiply by .3 again and we have .027 -- yeah -- THREE numbers to the right of

01:27

the decimal.

01:28

Do it one last time and we have .0081... FOUR units to the right of the decimal.

01:34

So the answer is E.

01:35

As in, "Everybody's busy."

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