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Friday, Nov 8Lesson 5.4

Terminating and Repeating DecimalsTerminating and Repeating DecimalsObjective: To express positive and negative fractions as decimals.

Terminating and Repeating DecimalsAt the end of this lesson you should be able to answer the following question.

How are repeating decimals used in real world situations?

Terminating and Repeating DecimalsA Rational Number is any number that can be written as a fraction.

That means it can be written as a fraction, in which both the numerator and the denominator are whole numbers.

Terminating and Repeating Decimals

Terminating and Repeating DecimalsNon-rational numbers are called irrational. Do you know an irrational number?

A number that cannot be expressed as a fraction?

Terminating and Repeating DecimalsNon-rational numbers are called irrational. Do you know an irrational number?

Terminating and Repeating DecimalsBar notation is a bar placed over the digit(s) that repeat.

example0.54545454 = 0.54 Terminating and Repeating Decimals 5Write 12 as a decimal.

How do you set this up as a math problem? Terminating and Repeating Decimals 5Write 12 as a decimal. 12 ) 5 or 5 12

What is it as a decimal?Terminating and Repeating Decimals 5Write 12 as a decimal. 0.416

0.4166 12 ) 5.0000 -48 20 -12 80 -72 80 -72 8

Terminating and Repeating Decimals 1Write 6 as a decimal.

Terminating and Repeating Decimals 1Write 6 as a decimal. 0.16

0.1666)1.000 -6 40 -36 40

Terminating and Repeating Decimals 2Write - 9 as a decimal.

Terminating and Repeating Decimals 2Write - 9 as a decimal.

We can remove the negative sign to divide and re-attach it at the end.

Terminating and Repeating Decimals 2Write - 9 as a decimal. - 0.2

0.229)2.00 -18 20 -18 2Terminating and Repeating Decimals 2Write - 23 as a decimal.

Terminating and Repeating Decimals 2Write - 23 as a decimal.

We can remove the negative sign and whole number to divide and re-attach them at the end.

Terminating and Repeating Decimals 2Write - 23 as a decimal. -2.6

Terminating and Repeating Decimals Frank made 34 out of 44 free throws this season. What is his free throw percentage?

Do this on your own.Terminating and Repeating Decimals Frank made 34 out of 44 free throws this season. What is his free throw percentage? 00.7727 Here is the decimal, what is the percentage?44 )34.00000 -308 320 -308 120 -88 320 -308 120Terminating and Repeating Decimals Frank made 34 out of 44 free throws this season. What is his free throw percentage? 00.7727 Here is the decimal, what is the percentage?44 )34.00000 -308 320 -308 120 -88 320 -308 12077.27%Terminating and Repeating DecimalsHow are repeating decimals used in real world situations?

Terminating and Repeating DecimalsAgenda Notes

Homework No Homework

Chapter 5 Test Friday, Nov 15