To identify the location of the point [tex]\(-1 \frac{3}{4}\)[/tex] on a number line, let's convert this mixed fraction to a decimal for ease of understanding.
[tex]\(-1 \frac{3}{4}\)[/tex] can be converted as follows:
- The whole number part is [tex]\(-1\)[/tex].
- The fractional part is [tex]\(\frac{3}{4}\)[/tex].
To convert [tex]\(\frac{3}{4}\)[/tex] to a decimal, divide the numerator by the denominator:
[tex]\[ \frac{3}{4} = 0.75 \][/tex]
Now combine the whole number part with the decimal part:
[tex]\[ -1 \frac{3}{4} = -1 + 0.75 = -1.75 \][/tex]
Therefore, the point [tex]\(-1 \frac{3}{4}\)[/tex] is actually [tex]\(-1.75\)[/tex] on the number line.
On a number line, −1.75 will be positioned between −1.5 and −2. If an image of the number line with points [tex]\(A\)[/tex], [tex]\(B\)[/tex], [tex]\(C\)[/tex], and [tex]\(D\)[/tex] is given, you would look for the point that corresponds to or is closest to the value [tex]\(-1.75\)[/tex].
Since we do not have the visual representation of the number line here, you will need to examine the options and choose the point that corresponds to the decimal [tex]\(-1.75\)[/tex].
To summarize:
- [tex]\(-1 \frac{3}{4}\)[/tex] is equal to [tex]\(-1.75\)[/tex].
- Locate [tex]\(-1.75\)[/tex] on the number line provided and choose the corresponding point [tex]\( (A, B, C, or D) \)[/tex] based on your visual assessment.
Without the actual number line, it’s not possible to definitively identify the correct point from this text alone. You would need to visually inspect the number line to make the final choice.
Be sure to refer to the visual representation on Khan Academy's quiz to make your selection.
