Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which point on the number line could represent [tex]-2 \frac{1}{4}[/tex]?

A.
B.
C.
D.


Sagot :

Certainly! Let’s determine which point on the number line could represent [tex]\( -2 \frac{1}{4} \)[/tex].

### Step-by-step Solution:

#### Step 1: Understand the Mixed Fraction

The given number is [tex]\( -2 \frac{1}{4} \)[/tex]. A mixed fraction consists of a whole number and a fractional part. In this case:
- The whole number part is [tex]\(-2\)[/tex].
- The fractional part is [tex]\( \frac{1}{4} \)[/tex].

#### Step 2: Convert the Mixed Fraction to an Improper Fraction

To understand it better on the number line, we can first convert [tex]\( -2 \frac{1}{4} \)[/tex] to a decimal.

#### Step 3: Convert the Fraction to Decimal

The fractional part [tex]\( \frac{1}{4} \)[/tex] can be converted to a decimal as follows:
[tex]\[ \frac{1}{4} = 0.25 \][/tex]

#### Step 4: Combine the Whole Number and the Decimal Part

Since the number is negative, combining the whole number [tex]\(-2\)[/tex] with the decimal part [tex]\(0.25\)[/tex] gives:
[tex]\[ -2 \frac{1}{4} = -2.25 \][/tex]

#### Step 5: Locate [tex]\(-2.25\)[/tex] on the Number Line

To locate [tex]\(-2.25\)[/tex] on the number line:
- We start at 0 and move left to [tex]\(-2\)[/tex].
- Then, we move an additional [tex]\(0.25\)[/tex] units to the left to reach [tex]\(-2.25\)[/tex].

So, the point on the number line that represents [tex]\( -2 \frac{1}{4} \)[/tex] is closest to [tex]\(-2.25\)[/tex].

### Conclusion

When looking at the points labeled on a number line, the point closest to [tex]\(-2.25\)[/tex] would be the one representing [tex]\( -2 \frac{1}{4} \)[/tex].