Converting a fraction to a repeating decimal
4:25
Khan AcademySal Khan
Converting a fraction to a repeating decimal
To convert a fraction like 19/27 into a decimal, you should divide 27 into 19, and use the remainder to figure out the decimal. The decimal begins 0.703703..., and the notation for a repeating decimal like this is to write the numbers that repeat and then put a line above them. The first six digits of the decimal should be included in the answer.
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SOLVED:A repeating decimal can always be expressed as a fraction. This problem shows how writing a repeating decimal as a geometric series enables you to find the fraction. (a) Write the repeating decimal 0.232323 …as a geometric series using the fact that 0.232323 …= 0.23 0.0023 0.000023 ⋯(b) Use the formula for the sum of a geometric series to show that 0.232323 …=23 / 99
SOLVED:A repeating decimal can always be expressed as a fraction. This problem shows how writing a repeating decimal as a geometric series enables you to find the fraction. (a) Write the repeating decimal 0.232323 …as a geometric series using the fact that 0.232323 …= 0.23 0.0023 0.000023 ⋯(b) Use the formula for the sum of a geometric series to show that 0.232323 …=23 / 99
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We are 100% certain that your students will have fun practicing fractions, decimals, and percents with our games! 🔢 💯 From bingo-style to multiplayer games featuring dogs, monsters, and slingshots, these activities are sure to be a hit in your class: 1. In Pecking Order, kids will arrange birds from least to greatest on a number line as quickly as possible. After completing all 5 rounds, players get to make music in a bonus mini game! Pecking Order: https://www.abcya.com/games/number_line_frac
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We are 100% certain that your students will have fun practicing fractions, decimals, and percents with our games! 🔢 💯 From bingo-style to multiplayer games featuring dogs, monsters, and slingshots, these activities are sure to be a hit in your class: 1. In Pecking Order, kids will arrange birds from least to greatest on a number line as quickly as possible. After completing all 5 rounds, players get to make music in a bonus mini game! Pecking Order: https://www.abcya.com/games/number_line_frac
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SOLVED:A repeating decimal can always be expressed as a fraction. This problem shows how writing a repeating decimal as a geometric series enables you to find the fraction. (a) Write the repeating decimal 0.232323 …as a geometric series using the fact that 0.232323 …= 0.23 0.0023 0.000023 ⋯(b) Use the formula for the sum of a geometric series to show that 0.232323 …=23 / 99
SOLVED:A repeating decimal can always be expressed as a fraction…
Aug 9, 2020
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