Tuesday, Oct 30

5 Minute Check5 Minute Check5 Minute Check5 Minute Check5 Minute Check5 Minute Check5 Minute Check5 Minute Check5 Minute CheckMid C

Mid C

Mid C

Thursday, April 23Lesson 7.4.1

Terminating and Repeating DecimalsTerminating and Repeating DecimalsObjective: To write fractions as terminating or repeating decimals and write decimals as fractions.

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 numbers. Do you know an irrational number?

Terminating and Repeating DecimalsWhat if you had a square with an area of 2u. What are the lengths of the sides?

Terminating and Repeating DecimalsWhat if you had a square with an area of 2u. What are the lengths of the sides? x x = 2 or x = 2 x = 2 x = 2 = 1.41421352 is also an irrational number!Terminating and Repeating DecimalsEvery rational number can be written as either a terminating decimal or repeating decimal.

What is the difference between terminating and repeating?Terminating and Repeating DecimalsEvery rational number can be written as either a terminating decimal or repeating decimal.

Bar notation is a bar placed over the digit(s) that repeat.

e.g.0.54545454 = 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

How do we do this? Terminating and Repeating Decimals 5Write 12 as a decimal. 12 ) 5.000

Place the decimal point and annex zeros.Terminating and Repeating Decimals 5Write 12 as a decimal.

0.4166 12 ) 5.0000 -48 20 -12 80 -72 80 -72 8 Why can I stop dividing ?Terminating and Repeating Decimals 5Write 12 as a decimal.

0.4166 12 ) 5.0000 -48 20 -12 80 -72 80 -72 8 Terminating and Repeating Decimals 5Write 12 as a decimal. 0.416

Terminating and Repeating Decimals 1Write 6 as a decimal.

Do this on your own.

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

0.1666)1.000 -6 40 -36 40Terminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating Decimals Write -2.4 as a fraction.

Do this on your own.

Terminating and Repeating Decimals Write -2.4 as a fraction.

4 2-2.4 = -210 = -2 5

Remember When converting a decimal to a fraction, say the fraction in word form, write it down and simplify.

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 Decimals Suppose you buy a 1.25 pound package of ham at $5.20 per pound. What fraction of a pound did you buy?Terminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating DecimalsTerminating and Repeating Decimals

Write a fraction and an equivalent terminating decimal between 0.5 and 0.75.

Terminating and Repeating Decimals

Write a fraction and an equivalent terminating decimal between 0.5 and 0.75.

Sample answer: 3 5 = 0.6

Terminating and Repeating Decimals

Fractions in simplest form that have denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions with denominators of 6, 12, 18,and 24 produce repeating decimals. What causes the difference?

Terminating and Repeating Decimals Fractions in simplest form that have denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions with denominators of 6, 12, 18,and 24 produce repeating decimals. What causes the difference? The first set can be factored into primes of 2s. The second set can be factor into primes of 2s and 3s. The factor of 3 produces the repeating decimal.

Terminating and Repeating Decimals

Terminating and Repeating Decimals

Terminating and Repeating Decimals

Terminating and Repeating DecimalsAgenda NotesNo Homework Homework Practice 7.4.1Odd Numbers Only. Due by the end of the periodCircle all answers and show all work.

Mid-Chapter 7.4 Quiz Thursday, April 30