Question

Draw a number line and show all numbers that are 2/3 of a unit to the left of 1/2

Answer 1

Answer:

See below.

Step-by-step explanation:

Draw a number line and draw points corresponding to -1, 0, and 1.

Mark 6 equal divisions between -1 and 0. Mark 6 equal divisions between 0 and 1.

Now you have the units between 1 and 0 and between 0 and -1 divided into sixths.

Now look at the point that corresponds to 1/2. It is the middle one-sixth mark between 0 and 1. Start there. That is 3/6 which is the same as 1/2.

You need to go 2/3 of a units to the left of 1/2.

2/3 = 4/6, so starting at 1/2, go 4 one-sixth marks to the left.

Now you are 2/3 unit to the left of 1/2.

See the number line below.

                -1                              0                              1

<----+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+------>

Start with a mark on 1/2, S in bold below.

                -1                              0             1/2             1

<----+---+---+---+---+---+---+---+---+---+---+---S---+---+---+---+---+------>

Now go 2/3 unit to left. 2/3 = 4/6, so go 4 one-sixth divisions to the left.

The point labeled with a bold E is the result. It is -1/6

                -1                      -1/6   0             1/2             1

<----+---+---+---+---+---+---+---E---+---+---+---S---+---+---+---+---+------>