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Integer Operations Quick Guide

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Integer Operations Quick Guide

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PPT ni JL

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Johnlloyd Juanitas
Johnlloyd Juanitas
Philippines

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Integer Operations Quick Guide
 

Integer Operations Quick GuideOnline version

PPT ni JL

by Johnlloyd Juanitas
1

Introduction to Integer Operations

In integers, the four fundamental operations are addition, subtraction, multiplication, and division. Understand their rules and sign behavior for accuracy.

2

Addition of Integers

Addition combines numbers on a number line. Same signs add to a larger absolute value, different signs subtract, keeping the sign of the larger magnitude.

3

Subtraction of Integers

Subtraction is adding the additive inverse. Compute a - b as a + (−b); follow sign rules to determine the final result.

4

Multiplication of Integers

Multiplication signs: positive × positive = positive, negative × negative = positive, positive × negative = negative. Absolute values multiply as usual.

5

Division of Integers

Division follows the same sign rules as multiplication. Quotients use absolute values, with the sign determined by the operands.

6

Sign Rules Summary

Rules: add or subtract with care for signs; multiply or divide by signs; always consider absolute values first, then apply the correct sign.

7

Zero and Identity Properties

Zero changes results via addition or multiplication, while 1 or −1 affect only signs in multiplication or division.

8

Common Mistakes

Mistakes include ignoring sign when subtracting, misapplying division signs, or treating absolute values incorrectly during steps.

9

Practice Problem

Compute: (−7) + 4, (−7) − 4, (−7) × (−5), and 12 ÷ (−3). Check signs and magnitudes carefully.
 
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