Chapter 6 Decimals 6 1 Decimals and Rational

Chapter 6 Decimals

6. 1 Decimals and Rational Numbers Write decimals as fractions or mixed numbers Decimal notation: A base -10 notation for expressing fractions Rational Number: number that can be expressed as a ratio of integers Decimal point Hundreds Tens One Tenth Hundr Thousand Ten s s edths Thousandt hs 635. 697 = 6 6 x 100 3 3 x 10 5 5 x 1 . 6 9 7 6 x 9 x 7 x

Ø Write a word for a decimal number Ø Graph decimals on a number line Ø Use < or > to make a true statement Ø Round decimal numbers to a specified place

6. 2 Adding and subtracting Decimal numbers Ø Add decimal numbers Ø Subtract decimal numbers Ø Add and subtract signed decimals Ø Combine like terms Ø Add polynomials Ø Subtract polynomials Ø Solve equations using the addition and subtraction principle Ø Solve applications

6. 3 Multiplying Decimal numbers ; Exponents with Decimal bases Ø Ø Ø Ø 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 Ø Divide decimal numbers Ø Write fractions and mixed numbers as decimals Ø Evaluate square roots Ø Divide monomials with decimal coefficients Ø Solve equations using multiplication/division principle Ø Solve applications

6. 6 Solving equations and Problem solving Ø Solve equations using the addition/subtraction and multiplication/division principles of equality Ø Simplify decimal equations using the multiplication Principle Ø Solve application problems Ø Solve problems involving one unknown Ø Solve problems with two unknown

Solve problems using the Pythagorean theorem Definition Right triangle: A triangle that has one right angle Hypotenuse: The side directly across from the 900 angle in a right Triangle The Pythagorean Theorem Given a right triangle, where a and b represent the lengths of the legs and c represents the length of the hypotenuse, then a 2 + b 2 = c 2 a (leg) c (hypotenuse) b (leg)