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 HundredsTensOne s Tenth s Hundr edths Thousand ths Ten Thousandt hs = x x 10 5x1 6 x 9x 7 x Decimal point

 Write a word for a decimal number  Graph decimals on a number line  Use 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 subtraction principle  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 and multiplication/division principles of equality  Simplify decimal equations using the multiplication Principle  Simplify decimal equations using the multiplication Principle  Solve application problems  Solve problems involving one unknown  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 90 0 angle in a right Triangle The Pythagorean Theorem Given a right triangle, where a and b represent the lengths of the legs and c represent the lengths of the legs and c represents the length of the hypotenuse, then a 2 + b 2 = c 2 b (leg) a (leg) c (hypotenuse)