Math

Question Find the number line representation of the expression 52+3\frac{5}{2} + 3.

Studdy Solution

STEP 1

Assumptions
1. The expression to represent on the number line is 52+3\frac{5}{2} + 3.
2. The number line is continuous and includes both whole numbers and fractions.
3. The starting point on the number line is 0.

STEP 2

First, we need to understand the expression 52+3\frac{5}{2} + 3. This expression is the sum of a fraction and a whole number.

STEP 3

To represent the sum on a number line, we start by locating the first term, which is 52\frac{5}{2}.

STEP 4

The fraction 52\frac{5}{2} is equivalent to 2122 \frac{1}{2}, which means it is 2 whole units and a half unit.

STEP 5

On the number line, we mark a point at 2122 \frac{1}{2} or 2.52.5 to represent the fraction 52\frac{5}{2}.

STEP 6

Next, we need to add the whole number 3 to the fraction 52\frac{5}{2}.

STEP 7

To add 3 to 52\frac{5}{2} on the number line, we move 3 whole units to the right from the point 2122 \frac{1}{2}.

STEP 8

Starting from 2122 \frac{1}{2}, we count three whole units to the right. This takes us to the points 3123 \frac{1}{2}, 4124 \frac{1}{2}, and finally 5125 \frac{1}{2}.

STEP 9

The point 5125 \frac{1}{2} is the same as 5.55.5 on the number line.

STEP 10

Therefore, the number line model that represents the expression 52+3\frac{5}{2} + 3 is the one that has a point at 5.55.5.
The number line model that represents the expression 52+3\frac{5}{2} + 3 has a point at 5.55.5 or 5125 \frac{1}{2}.

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