Convert (1)/(10), (2)/(10), (3)/(10), (4)/(10), (5)/(10), (6)/(10), (7)/(10), (8)/(10), and (9)/

step 1 So in this problem, we have one -tenths, two -tenths, three -tenths, all the way to nine -tenths

Convert (1)/(10), (2)/(10), (3)/(10), (4)/(10), (5)/(10),...

Convert $\frac{1}{10}, \frac{2}{10}, \frac{3}{10}, \frac{4}{10}, \frac{5}{10}, \frac{6}{10}, \frac{7}{10}, \frac{8}{10},$ and $\frac{9}{10}$ to percents. Do you notice a pattern? Explain what the pattern is.

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Key Concepts

Fraction to Percent Conversion

This concept involves converting a fraction into a percentage by recognizing that a percent represents a part per hundred. The general method is to multiply the fraction by 100 and then append the percent sign, turning, for instance, a fraction like 1/10 into 10%. This technique is a fundamental skill in understanding proportions and ratios in mathematics.

Multiplicative Conversion Factor

Understanding the use of a multiplicative conversion factor, in this case 100, is key to converting between different representations of numbers. For any fraction, multiplying by 100 scales it up to a percentage, illustrating the relationship between parts of a whole and their expression as percentages.

Pattern Recognition in Numerical Series

This key concept involves identifying regular, repeating sequences or patterns within a set of numbers. In this context, noticing that each conversion of a fraction with a denominator of 10 results in a percentage that is a multiple of 10 highlights an arithmetic pattern. Recognizing such patterns aids in predicting future values and understanding the structure underlying numerical data.

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