Dividing Integers EXAMPLE 1 The quotient of two integers with different signs is negative. The quotient of two integers with the same sign is positive.

Slides:



Advertisements
Similar presentations
Multiply/Divide integers Absent 10/14
Advertisements

Example 1 Multiplying Integers a. 3 () 4 – Different signs, so product is negative. = 12 – b. () 3 – 6 – Same sign, so product is positive. = 18 c. ()
Pgs What’s the answer?  x 4 – 3 Order of Operations  Hopefully you remember this:  BEDMAS  Brackets, Exponents, Divide, Multiply,
Example 1 Dividing Integers Same sign, so quotient is positive. 5 = a. 8 – 40 – b. 14 – 2 = 7 – Different signs, so quotient is negative. c. 9 – 36 = 4.
INTEGERS.
Solve a multi-step problem
Multiplying & Dividing Integers. State the rule for multiplying and dividing integers…. If the signs are the same, If the signs are different, the answer.
Integers: Multiplication & Division
EXAMPLE 1 a. –5(–7) = 35 b. –8(2) = –16 c. –12(0) = 0
INTEGERS: adding, subtracting, multiplying, and dividing
Lesson 1.7 Multiplying and Dividing Integers Essential Question: How do we multiply integers? How do we divide integers?
Objective: Learn to multiply and divide integers.
Solve an “and” compound inequality
EXAMPLE 1 Same sign, so quotient is positive. = –7 Different signs, so quotient is negative. c. 36 –9 = –4 Different signs, so quotient is negative. =
Multiplying and Dividing Integers 1.9. Rules: Multiply or divide SAME sign the product or quotient is POSITIVE Examples: 1.) -2∙ (-22)= 2.) -45÷ (-9)=
Day 7 – Multiplying and Dividing Integers. 1.Multiply the numbers 2.Same signs, answer is positive. 3.Different signs, answer is negative. Rules for Multiplying.
Rules of Integers. Positive numbers are numbers that are above zero. Negative numbers are numbers below zero.
EXAMPLE 2 Identifying Equivalent Fractions
Operations: Add, Subtract, Multiply, Divide
Section 1-6 Multiply and Divide Real Numbers SPI 12B: Identify the reciprocal of a real number Objectives: Apply properties of real numbers by multiplying.
Adding and Subtracting Real Numbers
Fa s.html Year 8 Mathematics Directed Numbers.
Math Journal Find the perimeter of the trapezoid: 4x ft 3x ft 60x in.
Slide 7- 1 Copyright © 2012 Pearson Education, Inc.
Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.
Addition, Subtraction, Multiplication, and Division of Integers
Order of Operations Also known to as PEMDAS. EXAMPLE 1 Following Order of Operations Music You buy a used guitar for $50. You then pay $10 for each of.
Do these signs have a meaning? PeaceRecycle.
Dividing Monomials: The Quotient Rule and Integer Exponents.
Multiplying and Dividing Integers
11-7 Multiplying Integers Warm Up Find each product ,600 14,000.
Integers All whole numbers and their opposites including the number 0.
Multiplying and Dividing Integers When you MULTIPLY: Two positives equal a positive Two negatives equal a positive One positive & one negative equal.
Integers Multiplying and Dividing. EXAMPLE 1 Multiplying Integers a. –5 ( –7 ) The product of two integers with the same sign is positive. b. –8 ( 2 )
Example 1 Dividing a Fraction by a Fraction ÷ a. = • 6
EXAMPLE 2 Finding a Mean Temperatures One of the coldest places on Earth is the Russian town of Verkhoyansk, located near the Arctic Circle. Find the mean.
Find the sum or difference. Then simplify if possible.
Slide 1- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
1.8 DIVIDING RATIONAL NUMBERS I CAN USE THE RULES FOR DIVIDING INTEGERS TO DIVIDE RATIONAL NUMBERS AND SOLVE PROBLEMS BY DIVIDING RATIONAL NUMBERS.
EXAMPLE 3 Find the mean TEMPERATURE
Temperature SWBAT apply addition and subtraction of integers to Celsius and Fahrenheit temperature; use formulas to estimate temperatures in degrees Celsius.
HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 7.4.
Divide Rational Numbers. Objective The student will be able to:
INTEGERS – Product & Quotient. Multiplying Integers - remember our changing sign table ? + + changes to changes to changes to changes.
Unit 2: Integers Unit Review. Multiplying Integers The product of two integers with the same sign is a positive. Eg: (+6) x (+4) = +24; (-18) x (-3) =
Subtracting Integers! By Zachary E. Hebrank.
B121 Chapter 5 Working with Numbers. Number representation ThousandHundredsTensUnits Natural numbers: 1,2,3,4,5……… Integers: Natural numbers.
Adding, Subtracting, Multiplying, and Diving Integers!!!
Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.
Fahrenheit and Celsius
Temperature.
Example 2 One of the coldest places on Earth is a Russian town located near the Arctic Circle. To the nearest degree, what is the mean of the average high.
Quick Review Find each sum: (-3) + (-3) + (-3) Answers:
Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.
Solve an “and” compound inequality
Unit 1 Rational Numbers Integers.
Integer Review If you are combining two numbers with: SAME SIGNS YOU ADDTAKE THE SIGN OF THE LARGER NUMBER DIFFERENT SIGNS YOU SUBTRACT TAKE THE SIGN.
Temperature Measurement
Chapter P Prerequisites: Fundamental Concepts of Algebra Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.2 Exponents and Scientific Notation.
Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power.
ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.
3 Multiplying and Dividing Integers
Interesting Integers – Part Dos
Operations with Integers
Multiplying and Dividing Integers
Dividing INTEGERS.
Multiplying and dividing integers
1-8 Multiplying and Dividing Integers
Recognize the Operation
Presentation transcript:

Dividing Integers EXAMPLE 1 The quotient of two integers with different signs is negative. The quotient of two integers with the same sign is positive. The quotient of 0 and any nonzero integer is 0. a. 28 (–4) = –7 –60 –12 b.b. = 5 = 0 c. 0 (–13)

Standardized Test Practice EXAMPLE 2

The mean is calculated by finding the sum of the high temperatures and then dividing by the number of days. SOLUTION Mean The mean temperature for these five days was –2 o C (–3) + (–5) (–7) = –10 5 = = –2 ANSWER Only C divides the sum by 5. The correct answer is C. Standardized Test Practice

Converting a Temperature EXAMPLE 3 During hibernation, an Arctic ground squirrel can decrease its body temperature to –30 o C. Convert this temperature to degrees Fahrenheit. Biology SOLUTION Write formula for degrees Fahrenheit. Substitute –30 for C. F 9 5 = C = (–30) + 32

EXAMPLE 3 Use rule for multiplying fractions. Divide out common factor. Multiply. Add. = – = –22 ANSWER The temperature –30 o C is equal to –22 o F. –6–6 9 (–30) = + 32 Converting a Temperature

GUIDED PRACTICE for Examples 1, 2, and 3 Find the quotient. ANSWER – ANSWER 4 – – – – 4.19 ( 1 ) – 3 ANSWER 19 – ANSWER

GUIDED PRACTICE ANSWER 320 ft – 5. Find the mean: –284 ft, –245 ft, –372 ft, –356 ft, and –343 ft. for Examples 1, 2, and 3

GUIDED PRACTICE Convert the temperature to degrees Celsius or to degrees Fahrenheit o C – ANSWER 32 o F ANSWER – 20 o C 7. 4 o F – o C – ANSWER – 49 o F o F ANSWER 25 o C for Examples 1, 2, and 3