Math Problem Statement

  1. Draw figures to represent the number of 1/2 present in 4.

Solution

To represent the number of 12\frac{1}{2} present in 4, we can think of 4 as the sum of multiple 12\frac{1}{2} pieces. Specifically, we need to find how many 12\frac{1}{2} pieces add up to 4.

Mathematically, we can write: 4=12+12+12+12++124 = \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \cdots + \frac{1}{2}

Since 12\frac{1}{2} is half of 1, it takes 2 halves to make a whole number. Therefore, to make 4, we need: 4×2=84 \times 2 = 8

So, there are 8 halves in 4. Let's illustrate this with figures:

Imagine each square represents 1 whole, and each half-square represents 12\frac{1}{2}:

  1. Whole Numbers Representation:
\hline 1 & 1 & 1 & 1 \\ \hline \end{array}$$ 2. **Halves Representation:** $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline \frac{1}{2} & \frac{1}{2} & \frac{1}{2} & \frac{1}{2} & \frac{1}{2} & \frac{1}{2} & \frac{1}{2} & \frac{1}{2} \\ \hline \end{array}$$ So, in the second diagram, there are 8 halves. This visually represents the number of $$\frac{1}{2}$$ present in 4. Would you like further details or have any questions about this explanation? --- Here are 8 related questions: 1. How many $$\frac{1}{3}$$ are there in 4? 2. What is the sum of eight $$\frac{1}{2}$$ pieces? 3. If you have 4 apples and cut each into halves, how many pieces do you have? 4. How many $$\frac{1}{4}$$ are in 2? 5. How can you represent $$\frac{3}{2}$$ using halves? 6. How many $$\frac{1}{2}$$ are in 7? 7. What fraction of 8 is represented by 4? 8. If you combine 6 $$\frac{1}{2}$$ pieces, what number do you get? **Tip:** When working with fractions, multiplying by the reciprocal can help you understand how many parts of one fraction are in another.

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Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication
Visual Representation

Formulas

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Theorems

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Suitable Grade Level

Grades 1-3