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BW - Subtraction. 1) 5,104 2) 18,000 - 589 - 4,371. Representing Multiplication. The ways to write “4 times 3:” 1) 4 x 3 2) 3a) 3b) 3c). Representing Multiplication. The ways to write “4 times 3:” 1) 4 x 3 (traditional “times sign”)
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BW - Subtraction 1) 5,104 2) 18,000 - 589- 4,371
Representing Multiplication The ways to write “4 times 3:” 1) 4 x 3 2) 3a) 3b) 3c)
Representing Multiplication The ways to write “4 times 3:” 1) 4 x 3 (traditional “times sign”) 2) 4 * 3 (dot or “asterisk”) 3a) 4(3) (parentheses around one) 3b) (4)3 (around the other) 3c) (4)(3) (around both)
Representing Multiplication Let’s see if you’re paying attention… • 3(5) = 4) (7)(10) = • (9)(4) = 5) (8)5 = • 6(2) = 6) 1(1)(1)1 =
Representing Multiplication Now with variables… How can we write “6 times k?” 1) 6 x k 2) 6 * k 3) 6k (no space between) Consider: Why replace the “times” sign? Here’s a story…
Back when I was in 3rd grade, I made a new friend! He called himself “times sign,” though I thought he just looked like a small “x.” sun x Hey little guy! I’m Kacey! Wanna go play on the monkey bars? skool
We had great times together! He taught me how to be a nerd, and was always there for me when I was bored. BOREDUMB x Burn some ants with a magnifying glass? Sounds like a GREAT idea! You’re my best friend. AT HOME…
y But that all changed one day in my 6th grade math class…There were other guys that looked kind of like Times Sign, but seemed much cooler. x x Hey! You guys look fancy! Can you be my new friends? Yeah, just get rid of that LOSER! Skool for 6th gradas
I got to know those new guys, the variables—they’re so awesome! But having two different small x’s for friends didn’t make sense; it would just be too confusing. So I left that old guy. I see him around sometime, but we don’t talk much. I hope he’s doing well… x Hey, kid! Let’s do some Algebra, and then play Call of Duty 11! pWNED n00b! de-friendified! That sounds great! I’ve never been to a pawn shop before! You’re my best friend evarr! New friend time!
SAMPLE PROBLEMS a = 5 1) 3a + 2 2) 2a + 6 3) 9a – 1 4) 10a – 15
SAMPLE PROBLEMS a = 5 • 3a + 2 2) 2a + 6 3) 9a – 1 4) 10a – 15 3(5) + 2 2(5) + 6 9(5) – 1 10(5) – 15
PRACTICE Evaluate if y = 5. SHOW WORK BELOW EACH. 1) y + 9 6) 1y + 20 2) 5y + 5 7) 2y – 9 3) 10y - 4 8) 7y – 13 • 100y + 1 9) 11y – 30 • 6y ÷ 6
HW – Representing Multiplication Evaluate if t = 8. 1) t + 12 6) t + 4 – 5 2) 3t + 4 7) 5t + 10 3) 4t + 3 8) 1t – 1 4) 6t – 3 9) 2t – 15 • t ÷ 2 10) Why do we need new ways to show multiplication in algebra?
Yesterday’s HW If g = 10, find the value of each. • g + 11 4) g – 10 • g – 3 5) g x 7 • g + 50 6) g ÷ 2 7) Draw a common symbol. Try these? 8) g2 9) 4g – 12 10) 3(g – 2)