Algorithms for Integer Arithmetic

Slides:

Advertisements

Similar presentations

POSITIVE AND NEGATIVE NUMBERS

Advertisements

Adding Integers. Adding Integers with the Same Sign Add the absolute values. The sum will have the same sign as the addends. Example 1 Find –2 + (-3)

ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) = +5 When a number is positive, you do not.

Adding and Subtracting Integers. Vocabulary Negative sign –Left side of number line Positive sign –Right side of number line Operation –Action which produces.

Subtracting Integers Algebraically. How to Subtract Integers Algebraically 1.Rewrite the problem  Keep the first number the same  Change the problem.

Warm-Up Complete each statement with. 1. −9 −2 2.−80 −81 Find the value of each expression. 3.− −6 + (−8) 5.− −5 + (−15) + (−10)

Subtracting Integers. What’s the difference between and 7 + (-3) ? = 4 and 7 + (-3) = 4 The only difference is that is a subtraction.

Lesson 6-3 Example Find the difference of 3 and –2. Use the number line. Step 1Write the subtraction expression. 3 – (–2)

Adding, Subtracting, Multiplying, and Dividing Real Numbers.

Review Adding Integers: (-5) = = (-7) = =

Adding Integers Section To Add Two Numbers with the Same Sign = 2 Start End (- 3) = StartEnd

Subtracting Integers I Love Numbers!!!. Quick Review of Adding Integers Adding Rule #1 – If the signs are the same, add as you normally do. – Keep the.

Chapter 1.1 Additive Inverse Absolute Value Adding Real Numbers.

I. Adding Two Positive Integers (Regular Addition) 1.) = 2.) = 3.) = 4.) = 1-7 Adding Integers There are three parts to today's.

Adding and Subtracting Integers Objectives: SWBAT add or subtract two integers and give the answer the correct sign. SWBAT simplify numbers that have two.

0-3 Addition and Subtraction with Integers Goals: Add and subtract integers Use addition and subtraction to solve real life problems *

Add and subtract integers

Rules for Adding & Subtracting Integers

Integers Rules of Operation.

Adding, Subtracting, Multiplying, and Dividing Integers

Pre-Algebra Review Quiz tomorrow!.

+/Integers-* By: Brock and Brandon.

Warm-up Solve each equation 4+13= −3+7= 4−13= −3−7=

Adding and Subtracting Integers

2 Chapter Chapter 2 Integers and Introduction to Variables.

Multiply or divide as usual.

Subtracting Integers I Love Numbers!!!.

Addition of Signed Numbers

SAME SIGNS JUST ADD !! ADDITION OF INTEGERS = (-2) = -10

Addition of Real Numbers

Subtracting Integers.

Unit 1 Rational Numbers Integers.

Adding and Subtracting Integers

Multiplying and Dividing Signed Integers

Multiplying and dividing integers

Using Rules to Subtract Integers

Operations with Integers

1-7 Adding and Subtracting Integers

Subtracting Integers 8/23/16.

INTEGER RULES Positives & negatives.

Integers: The set of counting numbers, their opposites and zero

Adding and Subtracting Integers

Adding and Subtracting Real Numbers

The Integer Song.

Chapter 2: Adding Integers

Warm Up Use <, > or = to complete each statement:

1 Introduction to Algebra: Integers.

2.2 Adding Integers.

Lesson #17: Adding Integers

Integers and Equations Flip Books

Compute with Integers.

Adding Integers To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers. To add two integers with.

Representing Integers

INTEGER RULES Positives & negatives.

Adding Integers Chp 2.2.

Adding Integers Unit 1 Lesson 6

Adding and Subtracting Integers

Adding and Subtracting Integers

Subtracting Integers Sec 2.3 pg

L8-2 Notes: Adding Integers

Operations with Integers

Review of Integers and Solving Equations

Multiplying and Dividing Signed Integers

Multiplying and Dividing Signed Integers

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall

Operations with Integers

Chapter 2-2 Adding Integers

Adding and Subtracting Real Numbers

Chapter 2: Adding Integers

Presentation transcript:

Algorithms for Integer Arithmetic Addition Algorithm

Three Steps to Adding Two Integers Do they have the same sign? (both positive or both negative) or Do they have opposite signs? (one positive and the other negative)

Same Signs STEP 2. Enter the common sign: STEP 3. Now enter the sum of the absolute values: (add the magnitudes)

Opposite Signs STEP 2. Enter the sign of the number having the larger magnitude: STEP 3. Enter the difference of the larger magnitude and the smaller:

Work it out!

Step 1 Same or opposite signs? They have opposite signs.

Step 2 Enter the sign of the number having the larger magnitude: |-34| = 34 > 12 = |12|

Step 3 Subtract the smaller magnitude from the larger and enter the result.

Work it out!

Step 1 Same or opposite signs? They have opposite signs.

Step 2 Enter the sign of the number having the larger magnitude: |29| = 29 > 14 = |-14|

Step 3 Subtract the smaller magnitude from the larger and enter the result.

Work it out!

Step 1 Same or opposite signs? They are both positive.

Step 2 The sign is positive.

Step 3 Add the magnitudes and enter the result.

Work it out!

Step 1 Same or opposite signs? They are both negative.

Step 2 The sign is negative.

Step 3 Add the magnitudes and enter the result.

2. Add the two signed numbers: Adding Many Integers 1. Add all the positive numbers and add all the negative numbers: 2. Add the two signed numbers:

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out!

Work it out! Rigid use of an algorithm is not always best.

Work it out!

Work it out!

Moral Look before you leap! Many problems can be worked in your head if you do things in the right order.