Welcome Back! Quarter 4 Day 1

Welcome Back!Quarter 4 Day 1 Planner Notes: Arith. Study Guide; Finish! Test Next Class; Get Q3 Gradesheet Signed Organize all notes in IN Bellwork: 1 2/3 – 4/5

Classwork: Do 1st side of ASG…show all work! • We’ll correct and take a grade at the end of class. • HW: Finish backside of ASG…Test Next Class! • Good Luck

Order of Operations • 1. 12 + 2 x 4 Do Mult. • 12 + 8 • 20 • 2. (20 + 1) ÷ 2 x 4 Do () • 21 ÷ 2 x 4 x,/ first from left • 10.5 x 4 Count places to • 42.0 right of decimal

Integers • 1. -5 + -8 (Bank) -13 • 2. -10 + 6 (Battle) -6 • 3. -10 – (-4) (Change minus to plus, • -10 + 4 (change sign of 2nd integer) • -6 (Battle) • 4. -24/4 (DSN) -6 • 5. -4(-3) (SSP) 12

Variables • 1. X / 15 = 3 Do opposite operation • 3 x 15 = 45 • 2. 2x + 16 = 28 • -16 = -16 Cross out zero pair • 2x = 12 2(6) = 12 x = 6

Whole Numbers • 1. 4,298 Line up place values • 327 • +82,347 • 87,602 • 2. 92,786 Start at right and borrow • - 17,149 one place at a time. • 75,637

Whole Numbers Continued • 3. 598 1st row: 598 x 7 • x 907 2nd row: zero in ones place • 4,186 : 598 x 0 • 0,000 3rd row: zeros in tens,ones; • + 538,200 598 x 9 • 542,386 ADD 3 rows for total

Whole Numbers Continued • 106 • 19 I 2014 19 goes into 20 1 time • -19 Subtract • 114 Bring down 1; 19 goes into -114zero times; put 0 above 1; bring down 4 19 goes into 114 6 times.

Whole Number Place Values • Forty-eight million, eight hundred five thousand, fifty-six • Look at ones, tens and hundreds for each comma • 048, 805, 056 • (no hundreds) (no tens) (no hundreds) • 48,805,056

Rounding: Underline place value you want to round to: • 18,574,449 If # to the right is 4 or less, • the underlined # stays the • 18,574,000 same, I guess. • The underlined number iswhere we stop, • All the other #’s must get dropped (to zero).

Fractions • 1. Reduce 48 Divide both numerator • 132 and denominator by • largest # to go in both (GCF) • …must know multiplication tables • 48÷ 12 = 4 Or …. • 132 ÷ 12 = 11 “ 2,3 & 5, the 1st 3 prime • will reduce fractions • most of the time.”  • 4/11

Write 645/25 as Mixed # • Numerator goes inside house. • 25 • 25 I 645 25 goes into 64 2 times; • -50 put 2 above 4; subtract. • 145 Bring down 5. Think $ (quarters). • -125Subtract; remainder is numerator • 20 • 25 20/25 Reduce 25 4/5

Fractions: 2/7 + 1/2 • 24Get CD using LCM 7, 14 • 7 14Rename fraction using CD 2,4,6,8,10,12,14 • 1 7(What you do to the bottom, you do to the top) • + 2 14 • 11 Add numerators. • 14 Denominator stays same.

7 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 7/8 32 X8 8 24 X 3 21 24 _________ 11 24 • Get CD: Start w/ multiples of largest #, and • continue until you find one both #’s go in. • 8,16,24 (3 goes into 24) • Rename fractions with CD • Borrow from whole #, and add numerator and denominator for new numerator • Subtract numerators • Simplify (no need for whole number 0).

Fraction: 8 – 3 5/6 • 8 Rename 8 as 7 • - 3 • ________ • 4

Fraction: 6/7 x 5/12 ÷ 61. Cross Reduce 2. Multiply Horizontally ÷6 (Already in simplest form) 15 = 5 7 2 14

Welcome Back! Quarter 4 Day 1