Which rational number is one tick mark to the left of [tex]-\frac{3}{4}[/tex] on the number line below?

A. [tex]-1 \frac{1}{4}[/tex]
B. [tex]-1[/tex]
C. [tex]-\frac{2}{4}[/tex]
D. [tex]0[/tex]



Answer :

To determine which rational number is one tick mark to the left of [tex]\( -\frac{3}{4} \)[/tex] on the number line, let's proceed with the following steps:

1. Understand the Tick Mark Interval:
- The interval between each tick mark is [tex]\(\frac{1}{4}\)[/tex].

2. Identify the Given Rational Number:
- The given number is [tex]\( -\frac{3}{4} \)[/tex].

3. Move One Tick Mark to the Left:
- Moving one tick mark to the left means subtracting [tex]\(\frac{1}{4}\)[/tex] from [tex]\( -\frac{3}{4} \)[/tex].

4. Perform the Subtraction:
[tex]\[ -\frac{3}{4} - \frac{1}{4} = -\left(\frac{3}{4} + \frac{1}{4}\right) = -\frac{4}{4} = -1 \][/tex]

5. Conclusion:
- The rational number one tick mark to the left of [tex]\( -\frac{3}{4} \)[/tex] is [tex]\( -1 \)[/tex].

Therefore, the correct answer is:
[tex]\[ -1 \][/tex]

This corresponds to the second option:
[tex]\[ -1 \][/tex]