ACT Math: Pre-Algebra Drill 3, Problem 1. Calculate (0.3)4.
|Foreign Language||Arabic Subtitled|
|Fractions and Decimals||Decimals|
|Pre-Algebra||Exponents and roots|
Numbers raised to positive integer powers
The concept of exponents
|Product Type||ACT Math|
If we think about it -- and yeah, it may hurt...
...1 times 1 times 1... is always gonna be 1. That's why it's the loneliest number.
And if we multiply a number a bit bigger than 1 again and again and again like an infinite
number of times, our result will... also be infinite.
But if a number is SMALLER than 1 and we multiply it a bunch of times, it'll get closer and
closer to... zero.
In this case, we are multiplying less than a third of 1... so at the end of the day it
should be a really small number because we are multiplying it 4 times.
Just understanding this concept generally, we can get rid of B and D immediately... and
A as well, really.
But if we just brute force the math, we get point 3 times point 3 which is point ZERO
There were TWO units to the right of the decimal -- here and here...
...so we need two units to the right of the decimal in our answer.
Now we multiply by .3 again and we have .027 -- yeah -- THREE numbers to the right of
Do it one last time and we have .0081... FOUR units to the right of the decimal.
So the answer is E.
As in, "Everybody's busy."