INTEGERS

MADE BY –

DEEPANSHA SINGH

CLASS – VI A

ROLL NO. - 13

What Are Integers?

• Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. i.e.

7 opposite -7

What Are Positive Integers?

• Positive integers – a number greater than zero.

0 1 2 3 4 5 6

What Are Negative Integers?

• Negative integers – a number less than zero.

0-1-2-3-4-5-6

What Is A Number Line?Number line -

• A line with arrows on both ends that show the integers with slash marks

• Arrows show the line goes to infinity in both directions ( + and -)

• Uses a negative sign (-) with negative numbers but no positive sign (+) with positive numbers

• Zero is the origin and is neither negative nor positive

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level

0102030

-10-20-30-40-50

Negative Numbers Are Used to Show Debt

Let’s say our parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.

Positive & Negative Numbers Working with positive and negative

numbers is like driving in traffic. We have to watch the traffic signs and follow the driving rules.

Hint

• If we don’t see a negative or positive sign in front of a number it is positive. i.e.

9+9 means

What Can We Do to Integers?

• Integers are numbers, so we can add, subtract, multiply, and divide them

• Each operation has different rules to follow

Adding Rules – Same Signs

• If the integers have the SAME signs: ADD the numbers & keep the same sign!

• Positive + Positive = Positive Answer • Negative + Negative = Negative Answer

Examples: -3 + (-10) = ? ? = -13 • 6 + (8) = ? ? = 14

Adding Rules – Different Signs

• If the integers have the DIFFERENT signs: SUBTRACT the numbers & use sign of the

BIGGER number!

• Bigger # is Positive = Positive Answer• Bigger # is Negative = Negative Answer

Examples: -13 + (7) = ? ? = -6• 23 + (-8) = ? ? = 15

Subtracting Rules• Put ( ) around second number & its sign

• Change SUBTRACTION sign to an ADDITION sign

• Change sign of 2nd number to its opposite

• Follow the rules for ADDITION:

-SAME signs: Add & keep the same sign -DIFFERENT signs: Subtract & use sign

of bigger Examples: -5 – -10 = ? ? = 5 9 - 23 = ? ? = -14

Multiplying Rules

• Multiply the numbers like usual• If the integers have the SAME signs: ANSWER will

be POSITIVE• If the integers have DIFFERENT signs: ANSWER

will be NEGATIVE

Examples: -3 · (-5) = ? ? = 15• -9 · (-10) = ? ? = 90

-7 · 7 = ? ? = -49• 6 · -6 = ? ? = -36

Dividing Rules

• Divide the numbers like usual• If the integers have the SAME signs: ANSWER will

be POSITIVE• If the integers have DIFFERENT signs: ANSWER

will be NEGATIVE• Examples: -33 ÷ (-3) = ? ? = 11• -90 ÷ (-10) = ? ? = 9

-20 ÷ 2 = ? ? = -10• 6 ÷ (-6) = ? ? = -1

THE END