Do Now 2/1/10 Take out HW from Friday Take out HW from Friday Text p. 258, #8-40 evens, & 11 Text p. 258, #8-40 evens, & 11 Copy HW in your planner. Copy HW in your planner. Text p. 262, #2-34 evens Text p. 262, #2-34 evens Chapter 5 TEST Tuesday Chapter 5 TEST Tuesday Be ready to copy Problem of the Week #1. Be ready to copy Problem of the Week #1.

Homework Text p. 258, #8-40 evens & #11 8) ) ) ) ) 11) 12) -1/3 12) -1/3 14) 3 1/3 14) 3 1/3 16) 3/8 16) 3/8 18) -9/34 18) -9/34 20) 7 27/28 20) 7 27/28 22) -1 1/3 24) 2 5/17 26) 28) 30) -1 5/6 32) 8 1/3 34) -1 1/8 36) 1/2 38) 2/9 40) -17/21

Objective SWBAT review writing fractions as decimals and vice versa, adding and subtracting like and unlike fractions, multiplying fractions, dividing fractions, and solving equations and inequalities with rational numbers. SWBAT review writing fractions as decimals and vice versa, adding and subtracting like and unlike fractions, multiplying fractions, dividing fractions, and solving equations and inequalities with rational numbers.

Section 5.1, “Rational Numbers” A RATIONAL NUMBER is a number that can be written as a quotient of two integers (a fraction). Numbers that cannot be written as a fraction are called IRRATIONAL. A RATIONAL NUMBER is a number that can be written as a quotient of two integers (a fraction). Numbers that cannot be written as a fraction are called IRRATIONAL.

Writing Decimals as Fractions Decimal numbers can be one of the following: Decimal numbers can be one of the following: 1) terminating 1) terminating 2) repeating (follows a pattern) 2) repeating (follows a pattern) 3) nonrepeating (goes on forever without a pattern) 3) nonrepeating (goes on forever without a pattern) rational rational irrational

Writing Decimals as Fractions Write the following decimal as fraction. Write the following decimal as fraction How do you say this? “Forty-five hundredths” Simplify

Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Rewrite the decimal number as a sum. Write the decimal as a fraction. Write the decimal as a fraction. 1 “Three hundred seventy-fivethousandths” Simplify

Writing Decimals as Fractions Write the following decimal as a fraction. Write the following decimal as a fraction For repeating decimals use the following strategy: Simplify, if possible If there are two repeating digits in the decimal, place the digits over … If there is one repeating digit in the decimal, place the digit over 9. If there are three repeating digits in the decimal, place the digits over 999.

Writing Fractions as Decimals Rewrite the fraction as a decimal. This means 7 divided by 8. A fraction is the quotient of two integers Remember Finished

Section 5.2 “Adding and Subtracting Like Fractions” Adding Fractions with Common Denominators To ADD fractions with common denominators, add their numerators together. Add the numerators

Section 5.2 “Adding and Subtracting Like Fractions” Subtracting Fractions with Common Denominators To SUBTRACT fractions with common denominators, subtract their numerators. Subtract the numerators

Fractions with Different Denominators To ADD or SUBTRACT fractions with different denominators follow these steps: 1. Rewrite the fractions using a common denominator. 2. Add or subtract the numerators. 2. Add or subtract the numerators. What is the common denominator? Section 5.3 “Adding and Subtracting Unlike Fractions”

“Adding and Subtracting Mixed Numbers” Mixed Numbers with Different Denominators To ADD & SUBTRACT mixed numbers do the following: 1. Write the fractions as improper fractions 1. Write the fractions as improper fractions 2. Write fractions using the LCD. 2. Write fractions using the LCD. 3. Add or subtract the numerators 3. Add or subtract the numerators 4. Simplify if necessary 4. Simplify if necessary

Try It Out 2.Write fractions using LCD. 3. Simplify 1.Improper fractions

Simplify the Expression. Find the LCD for 12 and 9. LCD = 36 Rewrite equivalent fractions using the LCD.

Section 5.4, “Multiplying Fractions” Multiplying Fractions To multiply fractions: 1. Rewrite fractions as improper fractions (when necessary) 1. Rewrite fractions as improper fractions (when necessary) 2. Multiply the numerators and denominators. 2. Multiply the numerators and denominators. 3. Simplify if necessary. 3. Simplify if necessary.

Section 5.5, “Dividing Fractions” Dividing Fractions To divide fractions: 1. Rewrite fractions as improper fractions (when necessary) 1. Rewrite fractions as improper fractions (when necessary) 2. Write the reciprocal of the second fraction. 2. Write the reciprocal of the second fraction. 3. Multiply the numerators and denominators. 3. Multiply the numerators and denominators. 4. Simplify if necessary. 4. Simplify if necessary.

Section 5.6, “Using Multiplicative Inverses to Solve Equations” Multiplicative Inverse Property To solve an equation that has a fractional coefficient, you can multiply each side of the equation by the fraction’s multiplicative inverse. To solve an equation that has a fractional coefficient, you can multiply each side of the equation by the fraction’s multiplicative inverse. MULTIPLICATIVEINVERSE RECIPROCAL =

Solve for x. Multiply each side of the equation by the MULTIPLICATIVE INVERSE of 4/7 Divide (cancel) common factors 1 -3 Multiply

Section 5.7, “Equations and Inequalities with Rational Numbers” Another way to solve an equation with fractions is to clear fractions by multiplying the WHOLE EQUATION by the LCD of the fractions. The resulting equation is equivalent to the original equation WITHOUT fractions.

Two-step equation. Solve for x. Find LCD of all fractions in the equation, then multiply the whole equation by the LCD. Solving Equations by Clearing Fractions Use distributive property and simplify each term of the equation.

Two-step equation. Solve for m. Look for the greatest number of decimal places. Then multiply the WHOLE EQUATION by that power of 10. Solving Equations by Clearing Decimals Use distributive property and simplify each term of the equation.

BLUFF! Homework Chapter 5 TEST tomorrow!! Chapter 5 TEST tomorrow!! Text p. 262, #2-34 evens Text p. 262, #2-34 evens