Sec. 1.2 Place Value and Names for Numbers
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1 Sec. 1.2 Plce Vlue nd Nmes for Numbers Lerning Objectives: 1. Find the plce vlue of digit in whole number. 2. Write whole number in words nd in stndrd form. 3. Write whole number in expnded form. 4. Key Vocbulry: whole numbers, plce vlue, stndrd form, period, expnded form. 1. Find the plce vlue of digit in whole number ones Tens Hundreds Thousnds Hundredthousnds Tenthousnds Hundredmillions Millions Ten-millions Hundredbillions Billions Ten-billions Exmple 1. Find the plce vlue of the digit 7 in ech whole number.. 7,352 b. 702,433 c. 17,009, Write whole number in words nd in stndrd form Writing Whole Number in Words To write whole number in words, write the number in ech period followed by the nme of the period. (The ones period is usully not written.) This sme procedure cn be used to red whole number. Exmple 2. Write ech whole number in words b. 17,403 1
2 Writing Whole Number in Stndrd Form To write whole number in stndrd form, write the number in ech period, followed by comm. Exmple 3. Write ech number in stndrd form.. Three hundred sixty-two thousnd, five hundred eighty-six b. Three million, four hundred thousnd, one hundred two 3. Write whole number in expnded form Exmple 4. Write 4,089,347 in expnded form. 2
3 Sec. 1.3 Adding nd Subtrcting Whole Numbers nd Perimeter Lerning Objectives: 1. Add or subtrcting whole numbers. 2. Find the perimeter of polygon. 3. Solve problems by dding or subtrcting whole numbers. 4. Key Vocbulry: sum, ddend, perimeter, minuend, subtrhend nd difference. 1. Add whole numbers Properties: For ny rel number, b nd c 1. Addition Property: + 0 = 0+ = 2. Subtrction Properties: = 0 nd 0 = nd 0 = 3. Commuttive Property: + b= b+ 4. Associtive Property of Addition: ( + b) + c= + ( b+ c) Exmple 1. Add or subtrct the following. 6, , , , Find the perimeter of polygon To find the perimeter of polygon is to dd the length of ll sides Exmple 2. Find the perimeter of ech figure. 17 feet 19 feet 19 feet 11 feet 3
4 Sec. 1.4 Rounding nd Estimting Lerning Objectives: 1. Round whole numbers. 2. Use rounding to estimte sums nd differences. 3. Key Vocbulry: rounding, grph, estimting, nd exct. 1. Round whole numbers Rounding Whole Numbers to Given Plce Vlue 1. Locte the digit to the right of the given plce vlue. 2. If this digit is 5 or greter, dd 1 to the digit in the given plce vlue nd replce ech digit to its right by If this digit is less thn 5, replce it nd ech digit to its right by 0 Exmple 1. Round 346 to the nerest ten. Exmple 2. Round 8,672 to the nerest hundred Use rounding to estimte sums nd differences Exmple 3. Round to the nerest thousnd to find the estimted sum or difference , ,587 4
5 Sec. 1.5 Multiplying Whole Numbers nd Are Lerning Objectives: 1. Use the properties of multipliction to multiply whole numbers. 2. Find re nd perimeter of rectngle. 3. Solve problems by multiplying whole numbers. 4. Key Vocbulry: fctor, product, distribute, nd re. 1. Use the properties of multipliction to multiply whole numbers Multipliction is repeted ddition but with different nottion. Properties of Multipliction. For ny rel number, b nd c 1. Multipliction property of 0: 0 = 0 = 0 2. Multipliction property of 1: 1 = 1 = 3. Commuttive Property of Multipliction: b= b b c= b c 5. Distributive Property: ( b c) = b+ c Exmple 1. Multiply. 4. Associtive Property of Multipliction: ( ) ( ) + nd ( b+ c) = b c Answer: Exmple 2. Use the distributive property to rewrite ech expression. ( 9 6) 5 + 5
6 2. Find re nd perimeter of rectngle w l l w Are = l w, Perimeter = l + l+ w+ w Exmple 3. Find the re nd perimeter of rectngle with length 14 feet nd width 8 feet. Are: Perimeter: Solve problems by multiplying whole numbers Exmple 4. At recent footbll gme, 413 dult tickets were sold t price of $5 ech. There were 127 child tickets sold t price of $3 ech. How much totl mount of money in ticket sles for the gme? 6
7 Sec. 1.6 Dividing Whole Numbers Lerning Objectives: 1. Divide whole numbers. 2. Solve problems tht require dividing by whole numbers. 3. Find the verge of list of numbers 4. Key Vocbulry: dividend, divisor, quotient, nd verge. 1. Divide whole numbers Properties of Division: For ny rel number, b nd c 1 1. Division Properties of 1: = 1, = 1,, 0 2. Division Properties of 0: 0 = 0, = 0, Exmple 1. Divide = undefined, = undefined, 0 1 =, =, 1 undefined Solve problems tht require dividing by whole numbers Exmple 2. Recently, Amy erned $1,722 selling clendrs. If ech clendr cost $14, how mny clendrs did Amy sell? 7
8 3. Find the verge of list of numbers Averge is the sum of the items divided by the number of items. Averge= sum of items number of items Exmple 3. During the semester, Tony s test scores were: 87, 93, 62, 83 nd 100. Wht ws Tony s verge for the semester? 8
9 Sec. 1.7 Exponents nd Order of Opertions Lerning Objectives: 1. Write repeted fctors using exponentil nottion. 2. Evlute expressions contining exponents. 3. Use order of opertions. 4. Find the re nd perimeter of squre. 5. Key Vocbulry: exponentil nottion, exponent, bse, order of opertions, nd re of squre. 1. Write repeted fctors using exponentil nottion Exponent is n expression of the form: n = where is clled bse, n is clled exponent or power n times Exponent Properties: For ny rel number nd = 2. = 2 3. ( ) 2 = ( ) ( ) 3 4. = 5. = 3 6. ( ) 3 = ( ) ( ) ( ) Exmple 1. Write using exponentil nottion Evlute expressions contining exponents Exmple 2. Evlute Use order of opertions Order of Opertions: 1. Perform ll opertions within prentheses ( ), brckets [ ], or other grouping symbols such s frction brs, strting with the innermost set. 2. Evlute ny expressions with exponents. 3. Multiply or divide in order from left to right. 4. Add or subtrct in order from left to right. 9
10 Exmple 3. Using order of opertions, simplify {27 [8 (3 + 2)]} ( 4) ( ) ( 5) ( 2) ( ) Find the re of squre s Are = s s Perimeter = s + s+ s+ s Exmple 4. Find the re nd perimeter of squre whose side mesures 6 feet. Are: perimeter: 10
11 Sec. 1.8 Introduction to Vribles, Algebric Expressions, nd Equtions Lerning Objectives: 1. Evlute lgebric expressions given replcement vlues. 2. Identify solutions of equtions. 3. Trnslte phrses into vrible expressions. 4. Key Vocbulry: vrible, lgebric expression, eqution, nd solution. 1. Evlute lgebric expressions given replcement vlues Algebric Expression is combintion of opertions on letters (vribles) nd numbers. 2yz x Exmple 1. Evlute for x = 12, y = 4, nd z = Identify solutions of equtions Eqution is sttement of the form expression = expression. Exmple 2. Determine whether the given number is solution of the given eqution. 1. Is 10 solution of n 3 = 7? 2. Is 3 solution of 2n = 12? 11
12 3. Trnslte phrses into vrible expressions Key words: Addition (+) Subtrction (-) Multipliction ( ) Division ( ) sum difference Product quotient dded to minus times divide plus subtrct Multiply, Multiply by, shred eqully mong more thn less thn of divided by Incresed by decresed by Double/twice divided into totl less triple per Exmple 3. Write ech phrse s vrible expression. Use x to represent number. 1. The sum of number nd eleven 2. Fifteen dded to number 3. The difference between number nd three hundred 4. A number subtrcted from forty-two 5. The product of sixteen nd number 6. A number times thirteen 7. The quotient of thirty nd number 8. Seven divided by number 9. The quotient of eighteen nd number, decresed by two 12
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