Integer Operations

Mastering Integer Operations

A comprehensive guide to performing operations on integers, including addition, subtraction, multiplication, and division. Learn essential techniques and strategies to solve integer problems efficiently and accurately. Master the fundamental skills needed for success in mathematics and beyond.

To multiply integers, follow these rules:
1. If the signs are the same, the product is positive. (+, +) or (-, -)
2. If the signs are different, the product is negative. (-. +) or (+, -)
3. Multiply the absolute values of the numbers.
4. Apply the sign to the product.
Example: (-3) x (-4) = 12

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Mastering Integer Multiplication

Multiple Select

What are the rules to multiply integers?

• If the signs are the same, the product is positive.

• If the signs are different, the product is negative.

• Divide the absolute values of the numbers.

• Add the absolute values of the numbers.

Multiplying Integers

Trivia: When multiplying integers, if the signs are the same, the product is positive.
But if the signs are different, the product is negative.
Any questions?????????

Rules for Multiplying Integers

• Positive x Positive: Multiply as usual, the result is _________.

• Negative x Negative: Multiply as usual, the result is ________.

• Positive x Negative: Multiply as usual, the result is _________.

• Negative x Positive: Multiply as usual, the result is _________.

Multiple Choice

What is the result of multiplying a positive number with a negative number?

• Positive

• Negative

• Zero

• Cannot be determined

Negative

Trivia: When you multiply a positive (+) number with a negative number(-) , the result is always negative. This is because multiplying a positive number by a negative number is the same as adding the negative number multiple times.
For example, 3 multiplied by -2 is equal to (-2) + (-2) + (-2) or -6

So, remember that when you multiply a positive number with a negative number, the answer is always negative!

Multiplying Integers:

• When multiplying integers with different signs:

• If one number is positive and the other is negative, the product is negative.

• If one number is negative and the other is positive, the product is negative.

• Example: (-3) x 4 = -12 or (-3) + (-3) + (-3) + (-3)

Mastering Integer Division

• Dividing two integers with the same sign results in a positive quotient.

• Dividing two integers with different signs results in a negative quotient.

• Remember to drop any remainder when dividing integers.

• Be cautious when dividing by zero, as it is undefined.

Multiple Choice

What happens when you divide two integers with different signs?

• The quotient is positive

• The quotient is negative

• The remainder is dropped

• The division is undefined

Dividing Integers

Note: When you divide two integers with different signs, the quotient is always negative. This is because dividing integers with different signs results in a negative value.

For example, -6 divided by 2 equals -3. Remember, the sign of the quotient depends on the signs of the integers being divided!

Rules for Dividing Integers

• When dividing integers with the same sign, the quotient is ________.

• When dividing integers with different signs, the quotient is ________.

Multiple Choice

Will the answer be positive or negative?

3 x (-1)

• Negative

• Positive

Match

Match the following. See if you can see the pattern.

• 3 x (-1) (-1)

• 3 x (-1)(-1)(-1)

• 3 x(-1)(-1)(-1)(-1)

• 3x(-1)(-1)(-1)(-1)(-1)

Positive

Negative

Positive

Negative

• Positive

• Negative

• Positive

• Negative