All courses Math Foundations · MF.SN.3 25 of 60
Multiply and divide signed numbers and interpret sign patterns correctly.

Multiply signed numbers

Problem
Find the value of \((-6)(4)\).
Your answer
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Hint

Start by multiplying the absolute values: 6 × 4.

A negative number times a positive number gives a negative product.

Solution walkthrough

01

Determine the product sign

\[\text{negative}~\times~\text{positive}~=~\text{negative}\]

The two factors have different signs, so their product is negative.

02

Multiply the magnitudes

\[6~\times~4~=~24\]

The absolute values of the factors produce magnitude 24.

03

Combine sign and magnitude

\[-24\]

Applying the negative sign to 24 gives the product.

+

Another way

  1. View (-6)(4) as four groups of -6: -6 + -6 + -6 + -6 = -24.

!

Common mistake

Do not forget that unlike signs make a negative product.

Solution walkthrough video