Mathematics
Grade 6
15 min
Multiply integers: find the sign
Multiply integers: find the sign
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1
Introduction & Learning Objectives
Learning Objectives
Identify positive and negative integers in multiplication problems.
Determine the sign of the product when multiplying two positive integers.
Determine the sign of the product when multiplying two negative integers.
Determine the sign of the product when multiplying a positive and a negative integer.
Apply the sign rules to correctly find the sign of the product of any two integers.
Explain the sign of a product based on the signs of its factors.
Ever wonder how temperature changes when it drops by the same amount multiple times? 🌡️ The sign of our answer matters!
In this lesson, you'll learn the simple rules for figuring out whether the answer (called the product) will be positive or negative when you multiply integers. This skill is super importan...
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Key Concepts & Vocabulary
TermDefinitionExample
IntegerWhole numbers and their opposites (positive numbers, negative numbers, and zero). Integers do not include fractions or decimals.-5, -2, 0, 3, 100
Positive IntegerAn integer that is greater than zero. These numbers are usually written without a sign or with a '+' sign.1, 7, 25 (+1, +7, +25)
Negative IntegerAn integer that is less than zero. These numbers are always written with a '-' sign in front of them.-1, -7, -25
ProductThe result obtained when two or more numbers are multiplied together.In the equation 3 × 4 = 12, the number 12 is the product.
SignIndicates whether a number is positive (+) or negative (-).The sign of -8 is negative. The sign of 5 is positive.
FactorA number that is multiplied by another number to get a product.In 6 × 2...
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Core Formulas
Multiplying Two Positive Integers
$$(+) \times (+) = (+)$$
When you multiply two positive integers, the product (answer) will always be a positive integer.
Multiplying Two Negative Integers
$$(-) \times (-) = (+)$$
When you multiply two negative integers, the product (answer) will always be a positive integer. Think of 'a negative of a negative' as becoming positive.
Multiplying a Positive and a Negative Integer
$$(+) \times (-) = (-)$$
When you multiply a positive integer by a negative integer, the product (answer) will always be a negative integer.
Multiplying a Negative and a Positive Integer
$$(-) \times (+) = (-)$$
When you multiply a negative integer by a positive integer, the product (answer) will always be a negative integer. The order of th...
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Challenging
If 'a' is a negative integer and 'b' is a negative integer, the sign of their product (a × b) is the same as the sign of the product of which of the following?
A.Two positive integers
B.positive and a negative integer
C.Two different negative integers
D.negative integer and zero
Challenging
The product of three integers is negative. Which of the following could be the signs of the three integer factors?
A.Positive, Positive, Positive
B.Negative, Negative, Negative
C.Positive, Positive, Negative
D.Negative, Negative, Positive
Challenging
Alex states, 'If you multiply an even number of negative integers together, the product is always positive.' Which statement best evaluates Alex's claim?
A.Alex is incorrect; the product will always be negative.
B.Alex is incorrect; the sign depends on the value of the integers.
C.Alex is correct; each pair of negative factors results in a positive product.
D.Alex is correct, but only if there are no positive factors involved.
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