Math  /  Numbers & Operations

QuestionThe number line shows an unknown number, uu.
Is u-u positive or negative? positive negative

Studdy Solution

STEP 1

What is this asking? We're given a number uu that's greater than 1 on the number line, and we need to figure out if u-u is positive or negative! Watch out! Don't get tricked by the *minus* sign!
It doesn't automatically mean the result is negative.
It depends on what number you're subtracting from!

STEP 2

1. Locate *u* on the number line.
2. Determine the sign of u-u.

STEP 3

The number line shows uu to the right of 1.
This means uu is greater than 1.
So, uu is **positive**!
Let's keep that in mind!

STEP 4

We know uu is positive and greater than 1.
Let's imagine uu is equal to 2, for example.
Then u-u would be 2-2.

STEP 5

If uu were 3, then u-u would be 3-3.
See the pattern?

STEP 6

Since uu is **positive**, u-u will always be **negative**.
Think of it like flipping to the opposite side of the number line, centered at zero!

STEP 7

u-u is **negative**.

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