# ACT Math 2.3 Pre-Algebra

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ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?

ACT Math | Pre-Algebra |

ACT Mathematics | Pre-Algebra |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Language | English Language |

Pre-Algebra | Absolute value Absolute value and ordering numbers by value Basic Algebra Ordering numbers from least to greatest and greatest to least |

Product Type | ACT Math |

### Transcript

you thought it was safe to go back into your algebra textbook...

The best way to solve this one is to just... draw a number line. The reality is that all

of these numbers are somewhere between 5 and 6.

So... when we absolute value...ize a number, we get rid of the negative.

Then we just need to figure out how far that number is from the origin.

In this case, the first term -- absolute value of negative 6 -- is just... 6.

It lives right here.

5 and a quarter is 5.25, since 1 divided by 4 is 0.25.

We do the same for 5 and 2/3. Two divided by 3 is point-666... roughly the devil's number.

Answer D is already decimalized... and the 5.2 lives here.

And lastly we have 5 and an eighth. One divided by 8 is 0.125... and 5.125 lives here.

So the answer is 5.125... choice E.

As in, "Everybody out of the water!"