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Planner Notes: Arith. Study Guide; Finish!Planner Notes: Arith. Study Guide; Finish! Test Next Class; Get Q3 Gradesheet Test Next Class; Get Q3 Gradesheet

SignedSigned Organize all notes in IN Organize all notes in IN

Bellwork: Bellwork: 1 2/3 – 4/51 2/3 – 4/5

Classwork: Do 1Classwork: Do 1stst side of side of ASG…show all work!ASG…show all work!

We’ll correct and take a grade at the end We’ll correct and take a grade at the end of class.of class.

HW: Finish backside of ASG…Test Next HW: Finish backside of ASG…Test Next Class!Class!

Good LuckGood Luck

Order of OperationsOrder of Operations

1. 12 + 1. 12 + 2 x 42 x 4 Do Mult. Do Mult. 12 + 812 + 8 2020 2. (2. (20 + 120 + 1) ) ÷ 2 x 4÷ 2 x 4 Do () Do () 21 21 ÷ 2÷ 2 x 4 x 4 x,/ first from left x,/ first from left 10.5 x 410.5 x 4 Count places to Count places to 42.0 right of decimal42.0 right of decimal

IntegersIntegers

1. -5 + -8 (Bank) -131. -5 + -8 (Bank) -13 2. -10 + 6 (Battle) -62. -10 + 6 (Battle) -6 3. -10 3. -10 – (-4)– (-4) (Change minus to plus, (Change minus to plus, -10 + 4-10 + 4 (change sign of 2 (change sign of 2ndnd integer) integer) -6 (Battle)-6 (Battle) 4. -24/44. -24/4 (DSN) -6(DSN) -6 5. -4(-3)5. -4(-3) (SSP)(SSP) 1212

VariablesVariables

1. X / 15 = 31. X / 15 = 3 Do opposite Do opposite operationoperation

3 x 15 = 453 x 15 = 45

2. 2x + 16 = 282. 2x + 16 = 28 -16 = -16-16 = -16 Cross out zero pair Cross out zero pair 2x = 12 2(6) = 12 x = 62x = 12 2(6) = 12 x = 6

Whole NumbersWhole Numbers

1. 4,2981. 4,298 Line up place valuesLine up place values 327327 +82,347+82,347 87,60287,602

2. 92,7862. 92,786 Start at right and borrow Start at right and borrow - 17,149- 17,149 one place at a time. one place at a time. 75,63775,637

Whole Numbers Whole Numbers ContinuedContinued

3. 5983. 598 11stst row: 598 x 7 row: 598 x 7 x 907x 907 22ndnd row: zero in ones place row: zero in ones place 4,1864,186 : 598 x 0: 598 x 0 0,0000,000 33rdrd row: zeros in tens,ones; row: zeros in tens,ones; + + 538,200538,200 598 x 9 598 x 9 542,386 ADD 3 rows for total542,386 ADD 3 rows for total

Whole Numbers Whole Numbers ContinuedContinued

106106 19 I 2014 19 goes into 20 1 time19 I 2014 19 goes into 20 1 time -19-19 SubtractSubtract 114114 Bring down 1; 19 goes into Bring down 1; 19 goes into

--114114 zero times; zero times; put 0 above 1; put 0 above 1; bring down 4 bring down 4

19 goes into 114 6 times.19 goes into 114 6 times.

Whole Number Place Whole Number Place ValuesValues

Forty-eight million, eight hundred five thousand, fifty-sixForty-eight million, eight hundred five thousand, fifty-six

Look at ones, tens and hundreds for each commaLook at ones, tens and hundreds for each comma

048, 805, 056048, 805, 056 (no hundreds) (no tens) (no hundreds)(no hundreds) (no tens) (no hundreds)

48,805,05648,805,056

Rounding: Underline Rounding: Underline place value you want to place value you want to round to:round to:

18,5718,5744,449 If # to the right is 4 or less,,449 If # to the right is 4 or less, the underlined # stays thethe underlined # stays the 18,574,00018,574,000 same, I guess. same, I guess. The underlined number isThe underlined number is where we stop,where we stop, All the other #’s must get dropped (to zero).All the other #’s must get dropped (to zero).

Fractions Fractions

1. Reduce 1. Reduce 4848 Divide both numerator Divide both numerator 132 132 and denominator by and denominator by largest # to go in both (GCF)largest # to go in both (GCF)

……must know multiplication tablesmust know multiplication tables 4848 ÷ ÷ 1212 = = 44 Or …. Or …. 132 132 ÷ 12÷ 12 = 11 = 11 “ 2,3 & 5, the 1“ 2,3 & 5, the 1stst 3 prime 3 prime will reduce fractionswill reduce fractions most of the time.” most of the time.” 4/114/11

Write 645/25 as Mixed #Write 645/25 as Mixed #

Numerator goes inside house.Numerator goes inside house. 2525 25 I 645 25 goes into 64 2 times;25 I 645 25 goes into 64 2 times; -50-50 put 2 above 4; subtract.put 2 above 4; subtract. 145 145 Bring down 5. Think $ (quarters). Bring down 5. Think $ (quarters). --125125 Subtract; remainder is numeratorSubtract; remainder is numerator

2020

25 20/25 Reduce 25 20/25 Reduce 25 4/525 4/5

Fractions: 2/7 + 1/2Fractions: 2/7 + 1/2

22 44 Get CD using LCM 7, Get CD using LCM 7, 1414

7 7 1414 Rename fraction using CD 2,4,6,8,10,12,Rename fraction using CD 2,4,6,8,10,12,1414

1 1 77 (What you do to the bottom, you do to the top)(What you do to the bottom, you do to the top)

+ 2 + 2 1414 1111 Add numerators. Add numerators.

1414 Denominator stays same. Denominator stays same.

7 2/5 + 1 ½ + 3 5/87 2/5 + 1 ½ + 3 5/8 2 x 8 16 1. Get CD of fractions (Use LCM)

5 40 8, 16, 24, 32, 40 Start w/ largest # and

find 1st # all 3 denominators

1 x 20 20 go into (2 goes in all, but 5

2 40 only goes into 40).

2. Rename fractions with CD

+ 5 x 5 25 3. Add numerators

8 40 4. Simplify: Turn improper to mixed:1 21/40

61 5. Add mixed number to whole numbers.

40 11 + 1 21/40 = 12 21/40

Fraction: 2 1/3 - 1 7/8Fraction: 2 1/3 - 1 7/8

3

12

8

71

1. Get CD: Start w/ multiples of largest #, and

continue until you find one both #’s go in.

8,16,24 (3 goes into 24)

2. Rename fractions with CD

3. Borrow from whole #, and add numerator and denominator for new numerator

4. Subtract numerators

5. Simplify (no need for whole number 0).

32

X8 8

24

X 3 21

24

_________

11

24

Fraction: 8 – 3 5/6Fraction: 8 – 3 5/6

8 8 Rename 8 as Rename 8 as 77 - 3 - 3 ________________ 4 4

6

6

6

5

6

6

6

1

Fraction: 6/7 x 5/12Fraction: 6/7 x 5/12

7

612

5 ÷ 6 1. Cross Reduce

2. Multiply Horizontally

÷6 (Already in simplest form)

1 5 = 5

7 2 14