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1. a fraction with a denominator that is a power of 10 . \( \begin{array}{ll}\text { a) } 0,453 & \text { b) } 43,1 \\ \text { c) } 92,303 & \text { d) } 2,3214\end{array} \) 2. Express the following decimal fractions as a sum of fractions. The denominator should be a power of 10 . \( \begin{array}{ll}\text { a) } 0,32 & \text { b) } 3,003 \\ \text { c) } 13,134 & \text { d) } 5,2303\end{array} \) 3. Round off the following numbers to the nearest whole number: \( \begin{array}{ll}\text { a) } 12,3 & \text { b) } 2,593\end{array} \) decimal places: a) 32,369 \( \begin{array}{ll}\text { Round off the following numbers to three } \\ \text { decimal places: } & \text { b) } 99,004 \\ \text { a) } 41,1144 & \text { b) } 0,22978\end{array} \)

Ask by Morrison Mcguire. in South Africa
Mar 17,2025

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1. All options are fractions with denominators that are powers of 10. 2. - a) \( \frac{3}{10} + \frac{2}{100} \) - b) \( 3 + \frac{3}{1000} \) - c) \( 13 + \frac{134}{1000} \) - d) \( 5 + \frac{303}{10000} \) 3. - a) 12, b) 3 - a) 32.369, b) 99.004, a) 41.114, b) 0.230

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A fun fact about fractions with a denominator that is a power of 10 is that they are incredibly easy to work with because we can convert them into decimal form simply by placing the decimal point at the correct location. For example, \( \frac{3}{10} \) becomes 0.3, while \( \frac{59}{1000} \) translates into 0.059. This makes calculations a breeze, especially when adding or subtracting such fractions! When expressing decimal fractions as a sum of fractions, you’re basically breaking down each decimal into parts that have easily manageable denominators, like 10, 100, or 1000. For instance, the decimal 3.003 can be expressed as \( \frac{3}{1} + \frac{0}{10} + \frac{0}{100} + \frac{3}{1000} \), leading to a clearer understanding of the number’s structure. Utilize this technique, and you'll become a fraction-summing wizard in no time!

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