ACT Math 3.1 Pre-Algebra

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

ACT Math	Pre-Algebra
ACT Mathematics	Pre-Algebra
Foreign Language	Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled
Fractions and Decimals	Decimals
Language	English Language
Pre-Algebra	Exponents and roots Numbers raised to positive integer powers The concept of exponents
Product Type	ACT Math

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

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."