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Multiplying and Dividing Signed Numbers. 10.4. Multiplying. Multiplying Numbers. The product of two numbers having different signs is a negative number. The product of two numbers having the same sign is a positive number. Product of Like Signs (+)(+) = + ( ‒)(‒) = +. - PowerPoint PPT Presentation
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Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
10.4
Multiplying and Dividing Signed Numbers
Martin-Gay, Basic Mathematics, 4e 22
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Multiplying
Multiplying Numbers
The product of two numbers having the same sign is a positive number.
The product of two numbers having different signs is a negative number.
Product of Like Signs(+)(+) = +(‒)(‒) = +
Product of Different Signs(+)(‒) = ‒(‒)(+) = ‒
Martin-Gay, Basic Mathematics, 4e 33
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
Multiply.
a.
b.
89 72
64 24
Martin-Gay, Basic Mathematics, 4e 44
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Practice 1-5 on p 672
Multiply.
1
2
3
62
12
0
12
)3(4
)10(0
Martin-Gay, Basic Mathematics, 4e 55
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
Evaluate.
a.
b.
29 99 81
23 33 9
Martin-Gay, Basic Mathematics, 4e 66
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Practice 6-10 on p 672
Multiply.
6
7
8
9
10
)4)(2(7
30
60
56
)1)(6)(5(
)1)(6)(5)(2(
814)3( )3)(3)(3)(3(
29 99 81
Martin-Gay, Basic Mathematics, 4e 77
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Dividing
Dividing Numbers
The quotient of two numbers having the same sign is a positive number.
The quotient of two numbers having different signs is a negative number.
Quotient of Like Signs Quotient of Different Signs
Martin-Gay, Basic Mathematics, 4e 88
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
Divide.
a.
b.
4
164
654 9
Martin-Gay, Basic Mathematics, 4e 99
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Practice 11-14 on p 673
Divide.
11
12
7
28
9
4
)2(18
Martin-Gay, Basic Mathematics, 4e 1010
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
Divide if possible.
a.
b.
00 because 0 5 0
12
6
0
Is undefined because there is no number that gives a product of −6 when multiplied by 0.
Martin-Gay, Basic Mathematics, 4e 1111
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
A professional golfer finished 4 strokes under par (−4) for each of three days of a tournament. What was her total score for the tournament?
4 3 12
The golfer’s total score was −12 or 12 strokes under par.
Martin-Gay, Basic Mathematics, 4e 1212
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Practice 17
A card player had a score of -13 for each of four games. Find the total score?
413 52
Martin-Gay, Basic Mathematics, 4e 1313
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
DONE
Martin-Gay, Basic Mathematics, 4e 1414
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
Multiply.
a.
b.
c.
89 72
64 24
3
2
4
1
34
21
6
1
1
2
Martin-Gay, Basic Mathematics, 4e 1515
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Practice 1-5 on p 672
Multiply.
1
2
3
4
5
62
12
3
1
7
3
0
12
)3(4
)10(0
7
1
)2.3(4 8.12
Martin-Gay, Basic Mathematics, 4e 1616
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Example
Divide.
a.
b.
c.
4
164
654 9
3
2
8
7
2
3
8
7
28
37
16
21
16
51
Martin-Gay, Basic Mathematics, 4e 1717
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Practice 11-14 on p 673
Divide.
11
12
13
14
7
28
9
23
4
)2(18
2.0
6.4
10
21
7
2
5
3
2
7
5
3
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