Chapter 6

Decimals

6.1 Decimals and Rational Numbers

Write decimals as fractions or mixed numbersDecimal notation: A base -10 notation for expressing fractionsRational Number: number that can be expressed as a ratio of integers

Hundreds Tens Ones

Tenths

Hundredths

Thousandths

Ten Thousandths

635.697 = 6 3 5 . 6 9 7 6x 100 3 x 10 5x1 6 x 9x 7 x

10

1

100

1

1000

1

Decimal point

Write a word for a decimal number

Graph decimals on a number line

Use < or > to make a true statement

Round decimal numbers to a specified place

6.2 Adding and subtracting Decimal numbers

Add decimal numbers Subtract decimal numbers Add and subtract signed decimals Combine like terms Add polynomials Subtract polynomials Solve equations using the addition and subtractionprinciple Solve applications

6.3 Multiplying Decimal numbers ; Exponents with Decimal bases

Multiply decimal numbers Multiply signed decimal numbers Evaluate exponential forms with decimal bases Write a number in scientific notation in standard form Write standard form numbers in scientific notation Multiply monomials Multiply polynomials Solve applications

6.4 Dividing Decimal Numbers; Square Roots with Decimals

Divide decimal numbers Write fractions and mixed numbers as decimals Evaluate square roots Divide monomials with decimal coefficients Solve equations using multiplication/division

principle Solve applications

6.6 Solving equations and Problem solving

Solve equations using the addition/subtraction andmultiplication/division principles of equality Simplify decimal equations using the multiplicationPrinciple Simplify decimal equations using the multiplicationPrinciple Solve application problems Solve problems involving one unknown Solve problems with two unknown

Solve problems using the Pythagorean theorem

DefinitionRight triangle: A triangle that has one right angleHypotenuse: The side directly across from the 900 angle in a rightTriangleThe Pythagorean TheoremGiven a right triangle, where a and b represent the lengths of thelegs and c represent the lengths of the legs and c represents the length of the hypotenuse, then a2 + b2 = c2

b (leg)

a (leg)c (hypotenuse)