Adding, Subtracting, Multiplying, and Dividing Integers Unit 2: Number Sense Adding, Subtracting, Multiplying, and Dividing Integers

Number Sense Pretest Do not write on the test Bring out a sheet a paper. Label your name, period, and date Fold paper in half. Show all your work on left side Write letter of multiple choice answer on right side Box your answers on the left side of the paper!!!

Do Now

Copy This!!! Positive Integers (PI) Negative Integers (NI) 1. Identify the following using the number line provided. Positive Integers (PI) Negative Integers (NI) A number that is not considered a positive or negative number 2. Indicate if the example represents positive or negative integers (Write PI for positive integers and NI for negative integers Increase Backwards Decrease Forward 3. Write an integer to represent each situation 10 degrees below zero A loss of 16 dollars A gain of 5 points 8 steps backwards

7NS1.2: Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. Objective: Huskies will be able to demonstrate how to add, subtract, multiply, and divide positive/integers.

Vocabulary Terms  Integer: A _____________________ or, the _______________________ of a whole number; zero is also an ____________________ and is neither positive nor negative. Negative Integer: An integer that is _____________ than zero. Positive Integer: An integer that is ______________ than zero. Number Line: A straight line with a “__________” point in the middle, with _______________and _________________ numbers that are listed on either side of zero. This line goes on __________________________.

Vocabulary Terms  Product: The result of _________________________. Dividend: The amount to be ______________________. Divisor: The amount by which a number is divided. Quotient: The __________________of division.

**Helpful Hint: Remember the “+” or “-“ in front of a number is attached to the number and acts as its sign.

Adding Integers with Different Signs With integers, having more positives than negatives will yield a positive answer; having more negative numbers than positive will result in a negative answer. +   =

Adding Integers with the Same Sign When you add 2 numbers with the same sign, you get more of what you have.   For example: Adding positives with more positives gives you more positives. Adding negatives with negatives gives you more negatives. +   - =

Steps for adding numbers with different signs: Step 1: Find the sign of your final answer by identifying the sign of the larger number. Step 2: Subtract the smaller integer from the larger integer, and apply the sign you found in step 1. Lets Try! *See worksheet Adding Positive and Negative Numbers (pg.12)*(Section A: #3, 8) and (Section B: # 14, 27, 38)

Subtracting Positive Integers When we subtract a smaller positive integer from a larger positive integer, our answer is positive. (see above diagram) large pos. #-small pos #=positive When we subtract a larger positive integer from a smaller positive integer, our answer is negative small pos. #-large pos #=negative Lets Try! *See worksheet Adding Positive and Negative Numbers (pg.13)* (Section A: #2, 4, 8, 20) +   - =

Subtracting Negative Integers When we subtract a positive number from a negative integer, our answer is negative a. -10-1=-11 b. -17-5=-22 When we subtract a negative integer (-3) from a negative integer (-7), we really add the integer’s opposite (+3). For example -7-(-3)= -4 When we subtract a negative integer (-3) from a positive integer (12), we really add the integer’s opposite (+3). For example 12-(-3) =15 Lets Try!*See worksheet Adding Positive and Negative Numbers (pg.13)* (Section B: #2, 5, 10, 11)

Multiplying Positive and Negative Numbers The product of a negative and positive number is always a ______________________number. -1*7=-7 The product of two positive numbers is always a _________________________ number. The product of two negative numbers is always a ____________________ number. -1*-3=3 Lets Try!*See worksheet Adding Positive and Negative Numbers (pg.14)* (Section A: #2, 10, 26, 67, 60) 

Dividing Positive and Negative Numbers To divide integers with different signs: Step1: Ignore signs when you divide Step2: Look at signs of dividend and divisor to determine sign of quotient. Step3: If one is positive and one is negative, the quotient is negative. -12÷4=  

To divide 2 negative integers: Step1: Ignore signs when you divide Step2: Look at signs of dividend and divisor to determine sign of quotient. Step3: If both integers are negative, the quotient is positive. -90÷-9= Lets Try! *See worksheet Adding Positive and Negative Numbers (pg.15)* (Section a: #4, 14, 23, 39)  

Station Time!!!

Stations 30 mins each Direct Station Integers Jeopardy Game http://www.math-play.com/Integers-Jeopardy/Integers-Jeopardy.html Answer the questions in your notes. I will call on you to check on the answer. Keep track of your $$$ Collaborative Station Integers Packet Pg. 12 Section B: odd #s Section C: even #s Pg. 13 Section A: odd #s Pg. 14 Section A: 15-60 odd Section B: all Pg. 15 Section A: even #s

Homework Moving Words Worksheet Show all your work Make sure you do the puzzle on the bottom of the page