COMPUTATION & ESTIMATION 6 TH GRADE SOL REVIEW

DO YOU KNOW HOW TO… …perform fraction operations (add, subtract, multiply, or divide fractions and mixed numbers)? …perform decimal operations? …identify keywords in a word problem? …solve word problems involving decimal and fraction operations? …perform the Order of Operations?

WORDS OF WISDOM Denominator Dividend Divisor Factor Improper Fraction Least Common Denominator Mixed Number Numerator Order of Operations Quotient Reciprocals Sum Difference Product

Improper Fractions and Mixed Numbers Converting improper fractions into mixed numbers: - divide the numerator by the denominator (you must use long division) - the quotient is the leading number, - the remainder as the new numerator. Converting mixed numbers into improper fractions. -Multiply the denominator by the whole number -Add the product to the numerator. The sum is the new numerator. -The denominator stays the same. More examples:

LIKE FRACTIONS When adding/subtracting fractions with the same denominators, _____ / _________ the numerators and write the _____/ _________ over the denominator. add subtract sumdifference

DIFFERENT FRACTIONS When adding/subtracting fractions with different denominators, rewrite each fraction using the _____ ________ ___________. least denominatorcommon Then follow the steps when adding/subtracting fractions with the same denominators.

Find the LCD, if necessary. Find the equivalent fractions. Add/Subtract the parts. Add/Subtract the whole numbers. Simplify… ADD/ SUBTRACT MIXED NUMBERS

MULTIPLYING FRACTIONS To find the product of rational numbers that are fractions, _______ the numerators and _______ the denominators. multiply

MULTIPLYING MIXED NUMBERS To multiply rational numbers expressed as mixed numbers, rewrite each mixed number as an ________ _______, and then multiply. Simplify and write final answer as a mixed number. improper fraction

DIVIDING FRACTIONS To divide rational numbers that are fractions, multiply by the ________ of the divisor. (in other words, flip the second fraction and multiply reciprocal

DIVIDING MIXED NUMBERS To multiply rational numbers expressed as mixed numbers, rewrite each mixed number as an ________ _______, and then divide. Simplify and write final answer as a mixed number. improper fraction

TIPS FOR SOLVING WORD PROBLEMS READ – LOOK – WRITE - SOLVE Step 1: Read the problem through completely. Step 2: Look for key words. These key words will tell you whether to add, subtract, multiply or divide. Some word problems will require two or more operations. Step 3: Write the number sentence from the problem. Step 4: Solve the problem.

KEY WORDS

REMEMBER THE PHRASE “PLEASE EXCUSE MY DEAR AUNT SALLY” OR PEMDAS. ORDER OF OPERATIONS 1. Parentheses - ( ) or [ ] 2. Exponents or Powers 3. Multiply and Divide (from left to right) 4. Add and Subtract (from left to right)

EXAMPLE 3(3 + 7) 2 ÷ 5 = 3(10) 2 ÷ 5 (parentheses) = 3(100) ÷ 5(exponents) = 300 ÷ 5(multiplication) = 60(division)

SOL Coach Book Practice  Word Problem Practice  Fractions - Page 88 – 89 #1- 8  Decimals – Page 94 – 95 #1- 4  Decimals – Page 102 – 103 #1- 4  Order of Operations  Page 108 – 109 #1 - 8

 Judy needs to measure 6 cups of oatmeal with a 1/3 cup utensil. How many times must she fill the 1/3 cup utensil?

 When you divide a fraction by a fraction, what must you do with the divisor? a. Change it to its reciprocal b. Make it an improper fraction c. Multiply it by 1 d. Simplify it

 Of Martin’s CD collection, 3/8 are Irish music CDs. Of the Irish music CDs, ¼ are instrumentals. What fraction of Martin’s CDs collection is instrumental Irish music? a. 3/32 b. 1/8 c. 3/16 d. 1/4

 When you multiply two mixed numbers, what should you do first? a. Simplify each fraction b. Multiply the whole numbers c. Cancel the like terms d. Change both mixed numbers into improper fractions

 Nathan ordered sandwiches for a party. 5/8 of the sandwiches were turkey and 1/4 were ham. What fraction of the sandwiches are turkey or ham?

 Of Matt’s 200 crayons, 0.7 of them are not broken. Of the crayons not broken, 0.4 of them are blue. How many crayons are not broken and blue?

 Mr. Palmer had $ in his savings. He then deposited $ more in his account. How much is in his savings account now?

 The mean distance from Mars to the sun is million miles. The mean distance from Mercury to the sun is million miles. Approximately, how many much closer to the sun is Mercury than Mars?

 According to the Order of Operations, which operation would you perform first to find the value of the expression below? ÷ 5 x (3 – 2) a. Addition b. Division c. Multiplication d. Subtraction

 What is the value of the expression? ÷ 6 x 3

 What is the value of the expression? 12(5 – 2) - 8

 What is the value of the expression? 5 – (2 x 1 + 3)

 What is the value of the expression? 16 ÷ 2 2 x 3 – (2 + 5)