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Example 1-5c Objective Express rational numbers as decimals and decimals as fractions

Example 1-5c Vocabulary Rational number Any number that can be expressed in the form a/b, where a and b are integers and b ≠ 0 All integers, fractions, and mixed numbers are rational numbers

Example 1-5c Vocabulary Terminating decimal A decimal when the division ends, or terminates, and the remainder is 0.625

Example 1-5c Vocabulary Repeating decimal A decimal where it is not possible to write all the digits without a remainder Would be written.6

Example 1-5c Vocabulary Bar notation A bar placed above the repeating part of a decimal

Lesson 1 Contents Example 1Write a Fraction as a Decimal Example 2Write a Mixed Number as a Decimal Example 3Round a Repeating Decimal Example 4Write a Terminating Decimal as a Fraction Example 5Write a Repeating Decimal as a Fraction

Example 1-1a Write as a decimal. Use the calculator ENTER Answer: 1/5 Write problem Put numerator in calculator which is 3 Push  Put denominator in calculator which is 16 Push =

Example 1-1c Answer: Write as a decimal. 1/5

Example 1-2a Write as a decimal. Use the calculator 2 11 ENTER 2/5 Write problem Write the whole number which is 3 and then a decimal 3. Put numerator in calculator which is 2 Push  Put denominator in calculator which is 11 Push =

Example 1-2a Write as a decimal ENTER Answer: /5 Notice: a zero is in the one’s place on the calculator 3. The zero has no value as a whole number so drop it There is a repeating number which is 18 Put 18 to the right of the decimal 3.18 Put a bar notation over the 18 since it is repeating

Example 1-2c Answer: 5.1 Write as a decimal. 2/5

Example 1-3a AGRICULTURE A Florida farmer lost the fruit on 8 of 15 orange trees because of unexpected freezing temperatures. Find the fraction of the orange trees that did not produce fruit, then write it as a decimal 3/5 Write problem Remember: a fraction is a part over the whole Part: 8 that did not produce fruit 8. Whole: All the orange trees 15

Example 1-3a 3/ Now write as decimal using the calculator Put numerator in calculator which is ENTER Push  Put denominator in calculator which is 15 Push = is repeating so write Put a bar notation over the repeating 3 Answer:

Example 1-3b SCHOOL In Mrs. Hinote’s eighth grade science class, 4 out of 22 students did not turn in their homework. Find the fraction of the students who did not turn in their homework, then write it as a decimal rounding to the nearest hundredth. Answer: /5

Example 1-4a Write 0.32 as a fraction. 4/5 Write problem 0.32 Use the calculator Put number in calculator as it is read nd Push the 2 nd key Push the This key converts fractions to decimals and decimals to fractions

Example 1-4b Answer: Write 0.16 as a fraction. 4/5

Example 1-5a ALGEBRA Write as a mixed number. 5/5 Write problem Use the calculator Put number in calculator 2.7 and repeat the 7 several time Remember the bar notation over the 7 means the 7 is being repeated Push the 2 nd key 2nd Push the Answer:

Example 1-5c Answer: ALGEBRA Write as a mixed number. * 5/5

End of Lesson 1 Assignment Lesson 2:1Fractions & Decimals All