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Which point on the number line represents Negative three-fourths?

A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D

1 answer

To find the representation of negative three-fourths (-3/4) on the number line, we first need to understand where -3/4 lies in relation to the other numbers indicated.

The number line ranges from -2 to +1, with four equal spaces between each whole number. This is crucial for determining the location of -3/4:

  1. Locate -1: The point one mark to the right of -2 is Point A (-1.75 on the number line), one mark to the right of -1 is Point B (-0.75 on the number line), and one mark to the left of 0 is Point C (-0.25 on the number line).

  2. Calculate -3/4: Negative three-fourths can be expressed as a decimal: \[ -3/4 = -0.75 \]

  3. Identify the correct point: Since -3/4 is equivalent to -0.75, we look for the point that corresponds to this value. From our earlier notes:

    • Point A is at -1.75
    • Point B is at -0.75
    • Point C is at -0.25

Thus, the point that represents negative three-fourths (-3/4) on this number line is Point B.