Decimal Number Concepts – Basic College Mathematics for Teachers

Reference: K. Elayn Martin-Gay – Page 1 Definition: Decimal

Read Decimal Numbers Change Words to Numerals Eight Tenths = .8 Thirty-Four Hundredths = .34 Nineteen Thousandths = .019	Write Decimal Numbers Change Numerals to Words .3 = Three Tenths .59 = Firty-nine Hundredths .008 = Eight Thousands
Place Value of Decimal Numbers Position of a Decimal Numeral has Value Tenths Hundredths Thousandths TenThousandths HundredThousandths	Rounding Off Decimal Numbers If N<5 Rd. Dn If N=5 Rd. Up If N>5 Rd.Up Round each Decimal to Hundredths .342 Rd to Hths = .34 .345 Rd to Hths = .35 .347 Rd to Hths = .36
Addition of Decimal Numbers Line Up Decimals or Find a Common Denominator .3 + .45 = .75 .67 + .02 = .69 Decimals are special Fractions with Denominators of 10, 100, etc…	Subtraction of Decimal Numbers Line Up Decimals or Find a Common Denominator .67 - .5 = .17 .8 - .03 = .77 Decimals are special Fractions with Denominators of 10, 100, etc…
Multiplication of Decimal Numbers Multiply Numbers then determine numbers behind decimals Rt = Lt .3 x .05 = .015 .02 x .03 = .0006 Decimal Places Rt = Decimal Places Lt.	Division of Decimal Numbers Divide Decimals but first move decimal point on outside & inside .15 / .5 = .3 ____ ___ .5 | .15 => 5 | 1.5 Decimal Moves Rt = Decimal Moves Rt

Thomas Love Malone College 2006/2008

Decimal Number Concepts – Basic College Mathematics for Teachers

Reference: K. Elayn Martin-Gay – Page 2 Definition: Decimal

Fractions to Decimals Divide Denominator into Numerator 3 / 4 = .75 4 ) 3.00 4 / 5 = .8 5 ) 4.00	Decimals to Fractions Decimals are special Fractions with Denominators of 10, 100, 1000, etc… .3 = 3 / 10 .45 = 45 / 100
Terminating Decimals Decimals that stop or do not repeat! .6 .75 .009	Repeating Decimals Decimals that repeat over & over! .777777… .1666666… .833333…
Equivalent or Equal Decimals Compare: < = > (8/100) .08 < .75 (75/100) (3/10) .3 = .3 (3/10) (60/100) .6 > .09 (9/100) Change to Fractions & Check as Fractions!	Equivalent or Equal Decimals Compare: < = > ( ) .09 __ .75 ( ) (3/10) .1 __ .1 (3/10) ( ) .4 __ .07 ( ) Change to Fractions & Check as Fractions!
Order Decimals: Hi to Lo Given: .3 .09 .75 Order from Hi to Lo .75, .3 .09 Order from Lo to Hi .09, .3, .75	Order Decimals: Hi to Lo Given: .9 .07 .45 Order from Hi to Lo ____ ____ ____ Order from Lo to Hi ____ ____ ____

Thomas Love Malone College 2006/2008