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]
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]
