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d) a square number e) an unreal number. 3. Classify each number below as an integer, fraction, mixed number or decimal number. \( \begin{array}{ll}\text { a) } \frac{125}{500} & \text { b) }-0,67 \\ \text { c) } 5416 & \text { d) } 6 \frac{2}{5} \\ \text { e) } \frac{18}{45} & \text { f) } 0,375 \\ \text { g) } 1,397 & \text { h ) }-5 \frac{7}{9} \\ \text { i) } 6903651 & \text { j) } \frac{27}{918} \\ \text { k) }-436,029 & \text { l) } 12 \frac{3}{4}\end{array} \)

Ask by Cox Stuart. in South Africa
Jan 21,2025

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Answer

| **Letter** | **Number** | **Classification** | |------------|---------------|--------------------| | **a)** | \( \frac{125}{500} \) | **Fraction** | | **b)** | -0.67 | **Decimal Number** | | **c)** | 5416 | **Integer** | | **d)** | \( 6 \frac{2}{5} \) | **Mixed Number** | | **e)** | \( \frac{18}{45} \) | **Fraction** | | **f)** | 0.375 | **Decimal Number** | | **g)** | 1.397 | **Decimal Number** | | **h)** | -\( 5 \frac{7}{9} \) | **Mixed Number** | | **i)** | 6,903,651 | **Integer** | | **j)** | \( \frac{27}{918} \) | **Fraction** | | **k)** | -436,029 | **Integer** | | **l)** | \( 12 \frac{3}{4} \) | **Mixed Number** |

Solution

Sure, let's classify each of the given numbers as **integer**, **fraction**, **mixed number**, or **decimal number**. ### Definitions: - **Integer:** A whole number that can be positive, negative, or zero, without any fractional or decimal part. - **Fraction:** A number expressed as one integer divided by another (e.g., \( \frac{a}{b} \)). - **Mixed Number:** A whole number combined with a fraction (e.g., \( 3 \frac{1}{2} \)). - **Decimal Number:** A number that includes a decimal point, representing a fraction in base 10. ### Classification: | **Letter** | **Number** | **Classification** | |------------|---------------|--------------------| | **a)** | \( \frac{125}{500} \) | **Fraction** | | **b)** | -0.67 | **Decimal Number** | | **c)** | 5416 | **Integer** | | **d)** | \( 6 \frac{2}{5} \) | **Mixed Number** | | **e)** | \( \frac{18}{45} \) | **Fraction** | | **f)** | 0.375 | **Decimal Number** | | **g)** | 1.397 | **Decimal Number** | | **h)** | -\( 5 \frac{7}{9} \) | **Mixed Number** | | **i)** | 6,903,651 | **Integer** | | **j)** | \( \frac{27}{918} \) | **Fraction** | | **k)** | -436,029 | **Integer** | | **l)** | \( 12 \frac{3}{4} \) | **Mixed Number** | ### Notes: - For **b)** and **k)**, the comma is interpreted as a decimal point and a thousand separator, respectively. - All fractions can potentially be simplified, but their classification remains as **fraction**. - **Integers** include both positive and negative whole numbers without any fractional or decimal parts. If you need further explanations or help with simplifying any of these numbers, feel free to ask!

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Extra Insights

Let’s have some fun with numbers! Did you know that square numbers have a cool history? The ancient Greeks were fascinated by them and used geometric methods to understand their properties. A square number is the result of multiplying a whole number by itself, like 1, 4, 9, and so on. They appear often in math puzzles and problems, making them a thrilling topic for both students and math lovers! Now, let’s dive into real-world applications! Understanding different number types can help in various fields, like finance and engineering. For instance, when budgeting, fractions can be used to represent parts of a whole—like saving 1/4 of your monthly income. Meanwhile, decimal numbers are essential for precision in measurements. Knowing how to classify numbers enhances your problem-solving skills in these practical scenarios!

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