G7 Chapter 1.2: Writing Rational Numbers as Decimals Day 2 – Repeating Decimals Notes Name___________________________ Date ___________ Period(s) ________ Writing Rational Numbers as Repeating Decimals §
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Learning Target I can write rational numbers as repeating decimals. I can use bar notation to represent a repeating decimal. VOCABULARY repeating decimal – ___________________________________________________________________ Examples of repeating decimals include: Three dots after a number like 0.111
(numbers) repeat endlessly. … mean that the pattern of digits !
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means 1 divided by 3 J G7 1.2 Day 2 p. 1 J Stop dividing after you see the repeating pattern of digits (numbers). Using long division, write each rational number as a repeating decimal. Don’t forget to look for patterns. 2
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Example 6a. !! Example 6c. Example 6b. !" !"
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(use a calculator for this one) CAUTION: Your calculator may round the last digit of a repeating decimal. Ex. 0.6666666667 Please do not round your answer! !
Example 6d. ! (use a calculator for this one) J !
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Bar Notation Repeating decimals can be written using bar notation over numbers that form a repetitive group (repeating numbers). J G7 1.2 Day 2 p. 3 J Examples: Using long division, write each rational number as a repeating decimal. Use bar notation to indicate the repeating digits. Don’t forget to place the bar over only the digits (numbers) that repeat. !
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(use a calculator for this one) J G7 1.2 Day 2 p. 4 J