Mathematics
Grade 6
15 min
Multiply integers
Multiply integers
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1
Introduction & Learning Objectives
Learning Objectives
Identify positive and negative integers.
Recall basic multiplication facts for whole numbers.
Apply the rules for multiplying a positive integer by a negative integer.
Apply the rules for multiplying a negative integer by a negative integer.
Calculate the product of two or more integers.
Solve simple real-world problems involving the multiplication of integers.
Have you ever thought about what happens when you multiply numbers that are 'below zero'? 🥶 Let's find out how to multiply positive and negative numbers!
In this lesson, you'll learn the simple rules for multiplying integers, including positive and negative numbers. Understanding these rules will help you solve many different types of math problems and understand situations in...
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Key Concepts & Vocabulary
TermDefinitionExample
IntegerWhole numbers and their opposites (negative numbers), including zero. Integers do not include fractions or decimals.Examples of integers are -5, -2, 0, 3, 10.
Positive IntegerAn integer that is greater than zero. These numbers are usually written without a plus sign, but a '+' can be used.1, 7, 25 are positive integers. We can write them as +1, +7, +25.
Negative IntegerAn integer that is less than zero. These numbers are always written with a minus sign in front of them.-1, -7, -25 are negative integers.
ProductThe result you get when you multiply two or more numbers together.In the equation $3 imes 4 = 12$, the number 12 is the product.
Absolute ValueThe distance of a number from zero on a number line, always a positive value. It tells you the ...
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Core Formulas
Multiplying Two Positive Integers
$ (+) \times (+) = (+) $
When you multiply two positive integers, the product is always positive. This is just like the multiplication you already know.
Multiplying Two Negative Integers
$ (-) \times (-) = (+) $
When you multiply two negative integers, the product is always positive. Think of 'a negative of a negative' as becoming positive.
Multiplying a Positive and a Negative Integer
$ (+) \times (-) = (-) $ and $ (-) \times (+) = (-) $
When you multiply a positive integer by a negative integer (or a negative by a positive), the product is always negative. If the signs are different, the answer is negative.
Multiplying by Zero
$ \text{Any Integer} \times 0 = 0 $
Any integer, whether positive or negative, multiplie...
5 more steps in this tutorial
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Challenging
What will be the sign of the product if you multiply seven negative integers and two positive integers together?
A.Positive
B.Negative
C.Zero
D.It cannot be determined
Challenging
The product of two integers is -36. Their sum is 5. What are the two integers?
A.-6 and 6
B.-4 and 9
C.4 and -9
D.-3 and 12
Challenging
If the product of three different non-zero integers is a negative number, which statement MUST be true?
A.All three integers are negative.
B.Two integers are negative and one is positive.
C.The number of negative integers is odd.
D.The number of positive integers is odd.
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