6th Grade Math Textbook, Progress

Multiply Integers

5-5

You can use repeated addition to multiply integers.

Multiply: 3
 2 n

 2  2  2  6

3 
 2  6

Patterns can also help you to understand how to multiply integers.

 4

3 
  2   6

 6  5  2

 2  2  2

 7  3  1 0

 2 
 3  6

 2 
 2  4

 2 
 1  2

Study these examples.

 12 
 3 s  7 
 7 h

⏐ 12 ⏐
⏐ 3 ⏐s ⏐ 7 ⏐
⏐ 7 ⏐h

12 
 3  36 7 
 7  49

 12 
 3  36  7 
 7  49

s 36 h 49

Multiply the factors.

Use the rules to determine

the sign of the product.

• When you multiply two positive ()
  integers, the product is positive ().

 3 
 3  9

 2 
 3  6

 1 
 3  3

• When you multiply a positive () integer,
  and a negative () integer, the product
  is negative.

You can also use rules for multiplying integers.

To multiply two integers,multiply their absolute values.

• The product is positivewhen the factors have like signs.
  ()() ()()


• The product is negativewhen the factors have unlike signs.
  ()() ()()

 1 
 3  3

 2 
 3  6

 3 
 3  9

• When you multiply two negative ()
  integers, the product is positive ().

Think

3 
2 means three groups of 2.

2.3

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