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ACT Aspire Math: Placing the Solution to an Expression on a Number Line 2 Views


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Description:

Consider the equation .

Indicate the location of x on the number line shown. Assume that all points on the number line are equidistant.


Transcript

00:03

Okay Aspiring math people Next up A drill for you

00:06

Here we go Consider the equation Three fourths minus one

00:09

twelfth equals acts Indicates location of exxon The number line

00:13

shown Assume that all points on the number line are

00:15

equal distant All right well let's think about this first

00:22

step here's just solve the expression in the problem the

00:24

lowest common denominator here is twelve right so it's going

00:28

to be nine twelve minus one twelve and that gets

00:32

us eight twelves and eight twelves is what is that

00:35

we can take out fours from there we've got two

00:37

fours up here and three fours down there so it's

00:40

two thirds all right so that's our most reduced number

00:44

here now where do we put it on this number

00:46

line equal distant thing well all this is great and

00:49

everything but we've got to find out what the letter

00:51

something the number line actually represent their seven total marks

00:54

here counting five letters and the zero and the one

00:57

there which gives us six inter spaces yeah that would

01:00

be the distance between zero and a right there for

01:03

example what were told that the points are equal distance

01:06

so each inter space represents one sixth so why don't

01:10

we just rewrite everything with our fancy new actual numbers

01:14

instead of just hash marks but wait none of these

01:17

looks like two thirds luckily fractions are malleable and we

01:21

confined an equivalent fraction that had six in the denominator

01:24

We've got four six right We just multiplied by two

01:26

over to for the two thirds Ever get a six

01:28

and a bottom wealth four six is located right here

01:32

One two three four It's the same tick Mark is

01:34

the 1 labeled d in the original diagram So that's 00:01:38.311 --> [endTime] our answer Yeah Answers ia's in We're done

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