Agenda Warm Up - 8/28/17 Grab a notes page!

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Presentation transcript:

Agenda Warm Up - 8/28/17 Grab a notes page! EQ: Homework: 6 weeks calendar Number Sets Test 8/25 Grab a notes page! Complete the set of problems given to you the best you can

Rational Number Operations NOTES Let’s start with adding and subtracting integers What do you remember??

Adding Integers Original Problem: -9 + -5 = (-) After Rule: 9 + 5 = (-) After Rule: 9 + 5 = (+) Answer: -14 Answer: (+) 14 Original Problem: -8 + -7 = (-) Original Problem: -2 + -7 = (-) After Rule: 8 + 7 = (-) After Rule: 2 + 7 = (-) Answer: -15 Answer: -9 Rule #1- The signs are the same so I just add and keep the sign.

Adding Integers Original Problem: 9 + -5 = (+) After Rule: 9 - 5 = (+) After Rule: 9 - 5 = (-) Answer: (+) 4 Answer: -4 Original Problem: -8 + 7 = (-) Original Problem: -2 + 7 = (+) After Rule: 8 - 7 = (-) After Rule: 7 – 2 = (+) Answer: -1 Answer: (+) 5 Rule #2- The signs are different so I just subtract and keep the sign of the larger number.

Subtracting Integers Original Problem: 9 – (-5) = After Rule: 9 + 5 = (+) After Rule: -9 + -5 = (-) Answer: (+) 14 Answer: -14 Original Problem: -8 – (-7) = Original Problem: 2 - 7 = After Rule: -8 + 7 = (-) After Rule: 2 + -7 = (-) Answer: -1 Answer: -5 Rule : No matter the signs, I am going to add the opposite. Once I change the problem to addition, I follow the addition rules.

Skills Check See next page

Agenda Warm Up - 8/29/17 Get a whiteboard from bottom f bookshelf EQ: Homework: 6 weeks calendar Number Sets Test 8/25 Get a whiteboard from bottom f bookshelf Write the rules you learned about adding and subtracting integers.

Write an answer on your whiteboard and do not turn over until I ask 14 – 16 = 72 + – 9 –120 + 85 = –84 – (– 16) = 53 – (–7) = –45 + – 8 =

Adding and Subtracting Decimals

Rules Do the rules change if we move to adding and subtracting decimals? Adding Rules Same sign- add and keep the sign Different sign- subtract and keep the sign of the larger number Subtraction rule Add the opposite

Adding Decimals Original Problem: -4.2 + -9.63= (-) After Rule: -4.20 + -9.63 = (-) After Rule: 9.45 – 3.00 = (-) Answer: -6.45 Answer: -13.83 Original Problem: -8.89 + 14.2 = (+) Original Problem: 2.1 + -9.4= (-) After Rule: 14.2 – 8.89 = (+) After Rule: 9.4 – 2.1 = (-) Answer: (+) 5.31 Answer: -7.3 Make sure the decimals line up! If there is an empty spot I put a zero to make sure all number have the same place value Rule #1- The signs are the same so I just add and keep the sign. Rule #2- The signs are different so I just subtract and keep the sign of the larger number.

Subtracting Decimals Original Problem: -0.4 – 0.23= After Rule: -0.4 + -0.23 = (-) After Rule: -9.45 + -3.00 = (-) Answer: -12.45 Answer: -0.63 Original Problem: -8.89 – (-14.2) = Original Problem: 2.1 – (-9.4) = After Rule: -8.89 + 14.2 = (+) After Rule: 2.1 + 9.4 = (+) Answer: (+) 5.31 Answer: (+) 11.5 Make sure the decimals line up! If there is an empty spot I put a zero to make sure all number have the same place value Rule : No matter the signs, I am going to add the opposite. Once I change the problem to addition, I follow the addition rules.

Skills Check See next page