6. 4 × 3 = 12
We normally use this multiplication symbol to imply
multiplication.
7. 4 3 =× 12
But in algebra we don’t use multiplication symbol
anymore instead we use a to imply multiplication.
8. 4 3 12
But then again, the dot is seldom used in manipulating
algebraic or polynomial expressions. Instead, we most of
the time use on implying multiplication.
( =)
10. Rules in Multiplying Integers
1. When you multiply two numbers with the , the
product is .
+ + = (+) − − = +
2. When you multiply two numbers with , the
product is .
+ − = (−) − + = (−)
3. Any multiplied by 0 gives a product of .
40. Rule for a Product with No Zero Factors
1. If the number of negative factors is , the
product is .
2. If the number of negative factors is , the
product is .
41. Multiply.
Example 1:
−2 −3 (5) 30=
2 36(5)
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
42. Count the number of
.
Example 1:
−2 −3 (5) 30=
Two so it is that means the sign of the
product is .
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
43. Example 1:
−2 −3 (5) 30=
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
44. Multiply.
Example 2:
−6 −2 (−5)(−8) 480=
6 212 (5)60 (8)
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
45. Example 2:
−6 −2 (−5)(−8) 480=
Count the number of
.
Four so it is that means the sign of the
product is .
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
46. Example 2:
−6 −2 (−5)(−8) 480=
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
47. Multiply.
Example 3:
−1 −2 (−3)(−4)(−5) 120=
1 22 (3)6 (4)24 (5)
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
48. Example 3:
−1 −2 (−3)(−4)(−5) 120=
Count the number of
.
Five so it is that means the sign of the
product is .
−
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
49. Example 3:
−1 −2 (−3)(−4)(−5) 120= −
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
52. Multiply the following integers.
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
1. −2 2 (−2)(−2)
2. −52 62 (−13)(0)(10)(−22)
3. −3 −1 (−1)(−6)
2. −2 1 (−10)(−1)(−1)(5)
3. [ −2 3 ](−4)(10)
54. Multiply the following integers.
Rule for a Product with No Zero Factors
1. If the number of negative factors is , the product is .
2. If the number of negative factors is , the product is .
1. Multiply
2. Check the sign.
1. −2 2 (−2)(−2)
2. −52 62 (−13)(0)(10)(−22)
= −16
= 0
3. −3 −1 (−1)(−6) = 18
2. −2 1 (−10)(−1)(−1)(5) = 100
3. [ −2 3 ](−4)(10) = 240