Where would 3 1/2,1/3, and -0.5 go on a number line. ( Should the mixed number be turned into 7/2)

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To determine the placement of these numbers on a number line, let's start by converting the mixed number 3 1/2 into an improper fraction.

To convert 3 1/2 to an improper fraction:
Step 1: Multiply the whole number (3) by the denominator of the fraction (2). 3 x 2 = 6.
Step 2: Add the result from Step 1 (6) to the numerator of the fraction (1). 6 + 1 = 7.
Step 3: Write the sum from Step 2 (7) as the new numerator, keeping the denominator (2) the same.
So, 3 1/2 is equal to 7/2.

Now that we have the numbers in fraction form, let's plot them on a number line:
1. 7/2 (or 3 1/2) would be placed between 3 and 4 on the number line. Since it is larger than 3 but smaller than 4, it would fall closer to 4.
2. 1/3 would be placed between 0 and 1 on the number line. To determine its placement, divide the segment between 0 and 1 into three equal parts. Since 1/3 is smaller than 1/2, it would be closer to 0.
3. -0.5 would be placed to the left of 0 on the number line. Since it is a negative number, it falls to the left of 0.

So, on a number line, the placement would be:
-0.5 <-- 0 <-- 1/3 <-- 3 1/2 --> 4

Turn the fractions into decimals; then let us know what you think.

http://mrjacobmath.googlepages.com/number-line.png

3.5
0.33333333333
-0.5