113 Note from your instructor: A "direct calculation" might be "what is 12 times 6?" Calculators were made for such calculatons. Algebra however presents us indirect calculaitons such as "what two number have a product of 72 and a sum of 18?" In this case, the answer is two numbers: 12 and 6 (because 12-6 = 72 and 12+ 6 = 18.) Calculators are of limited use when the answer involves two numbers such as 12 and 6. The best way to answer such questions is to learn the number facts from the multiplication table (up to 12 times 12); plus a few other number facts (1 through 5 times 13 through 19). For students who do not know these number facts, a multiplication table up to 20 times 20 might be far more helpful than a calculator. For each problem below, find two "mystery numbers" when given their product and sum. Enter the two numbers separated by a comma. A) Product = 50; sum = 15 B) Product = 99; sum = 20 C) Product = 72; sum = 18 D) Product = 15; sum = 8 E) Product = 30; sum = 11 F) Product = 18; sum = 11 G) Product = 51; sum = 20 H) Product = 38; sum = 21 (a)
113 Note from your instructor: A "direct calculation" might be "what is 12 times 6?" Calculators were made for such calculatons. Algebra however presents us indirect calculaitons such as "what two number have a product of 72 and a sum of 18?" In this case, the answer is two numbers: 12 and 6 (because 12-6 = 72 and 12+ 6 = 18.) Calculators are of limited use when the answer involves two numbers such as 12 and 6. The best way to answer such questions is to learn the number facts from the multiplication table (up to 12 times 12); plus a few other number facts (1 through 5 times 13 through 19). For students who do not know these number facts, a multiplication table up to 20 times 20 might be far more helpful than a calculator. For each problem below, find two "mystery numbers" when given their product and sum. Enter the two numbers separated by a comma. A) Product = 50; sum = 15 B) Product = 99; sum = 20 C) Product = 72; sum = 18 D) Product = 15; sum = 8 E) Product = 30; sum = 11 F) Product = 18; sum = 11 G) Product = 51; sum = 20 H) Product = 38; sum = 21 (a)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter4: Rational Expressions
Section4.3: Adding And Subtracting Rational Expressions
Problem 70PS
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Transcribed Image Text:113
Note from your instructor: A "direct calculation" might be "what is 12 times 6?" Calculators were made for
such calculatons. Algebra however presents us indirect calculaitons such as "what two number have a
product of 72 and a sum of 18?" In this case, the answer is two numbers: 12 and 6 (because 12-6 = 72
and 12+ 6 = 18.)
Calculators are of limited use when the answer involves two numbers such as 12 and 6. The best way to
answer such questions is to learn the number facts from the multiplication table (up to 12 times 12); plus a
few other number facts (1 through 5 times 13 through 19). For students who do not know these number
facts, a multiplication table up to 20 times 20 might be far more helpful than a calculator.
For each problem below, find two "mystery numbers" when given their product and sum. Enter the two
numbers separated by a comma.
A) Product = 50; sum = 15
B) Product = 99; sum = 20
C) Product = 72; sum = 18
D) Product = 15; sum = 8
E) Product = 30; sum = 11
F) Product = 18; sum = 11
G) Product = 51; sum = 20
H) Product = 38; sum = 21
w
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