3.1 Review What’s used to show a decimal is repeating? Change the fraction 7/8 into a decimal using long division. Compare .75 ____ 1/4

3.2 Rational Numbers Objective: Students will be able to change a mixed fraction into an improper one. They will be able to reduce fractions. Finally, they will be able to change a decimal (terminating/repeating) into fraction.

Information Rational Number: number written as quotient (fraction). 2 characteristics Terminates: remainder is zero Repeats Rational numbers are “nice” numbers.

Write number as a (quotient) fraction 7 -11 3 ¾ -5 ½

St: Write as (quotient) fraction 20 4 7/10 52 -2 3/7 2 2 4/7

Simplifying Fractions 4/6 15/25 3/9 12/36

Simplifying Fractions 10/35 8/24 15/33 7/21 9/45 1/9

Decimal to fractions Terminating decimal: Ex: .34 Put number over place value Reduce Ex: .34 Repeating decimal (if repeating bar over whole decimal): Put number over place value but subtract 1 from place value. Ex: .6

St: change to fractions .61 0.7 -1.33 .373

What to do if repeating not over whole decimal. THIS IS VERY TRICKY!!!! PAY ATTENTION!!!! .065 .07 0.15 0.07 0.011

Identify correctly Whole number: positive whole numbers, natural numbers. 0, 1, 2, 3,…. Integers: pos. / neg. whole numbers. -1, 0, 1,…. Rational: fractions, repeating, terminating numbers. -9 14 .32332332332 9.6

Identify as whole, integer, and/or rational number 9 .6 -6 .55 9 6/7

Wrap up Questions/Comments Hw: workbook pg. 29