ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Playlist ACT® Pre-Algebra 34 videos

0
ACT Math 3.1 Pre-Algebra
298 Views

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

1
ACT Math 3.5 Pre-Algebra
616 Views

ACT Math Pre-Algebra: Drill 3, Problem 5. Simplify the expression.

2
ACT Math 1.1 Pre-Algebra
1061 Views

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

See All

ACT Math 3.1 Pre-Algebra 298 Views


Share It!


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."

Related Videos

SAT Math 5.6 Numbers and Operations
3621 Views

SAT Math 5.6 Numbers and Operations

SAT Math 4.2 Numbers and Operations
316 Views

SAT Math 4.2 Numbers and Operations

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Inequalities in Number Lines
3230 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1955 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.