EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780135795910
Author: Demana
Publisher: PEARSON CO
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Chapter P.1, Problem 46E
Solution

a.

The algebraic property illustrated by the equation x+21x+2=1 .

Multiplicative inverse property

Given:

The equation is, x+21x+2=1

Concept Used:

  • The multiplicative inverse of a number n is given by the quotient of 1 and the number n . The product of a number and its multiplicative inverse is 1, that is, n1n=1 .

Calculation:

Note that the given expression x+21x+2=1 is of the form of n1n=1 .

Hence, it illustrates the multiplicative inverse property.

b.

The algebraic property illustrated by the equation 1x+y=x+y .

Multiplicative identity property

Given:

The equation is, 1x+y=x+y

Concept Used:

  • Multiplicative identity property a1=1a=a .

Calculation:

Note that the given expression 1x+y=x+y is of the form of a1=1a=a .

Hence, it illustrates the multiplicative identity property.

c.

The algebraic property illustrated by the equation 2xy=2x2y .

Distributive property of multiplication over subtraction

Given:

The equation is, 2xy=2x2y

Concept Used:

  • Distributive property, abc=abac .

Calculation:

Note that the given expression 2xy=2x2y is of the form of abc=abac .

Hence, it illustrates the distributive property of multiplication over subtraction.

d.

The algebraic property illustrated by the equation 2x+yz=2x+yz .

Associative property of addition

Given:

The equation is, 2x+yz=2x+yz

Concept Used:

  • Associative property, a+bc=a+bc

Calculation:

Note that the given expression 2x+yz=2x+yz is of the form a+bc=a+bc .

Hence, it illustrates the associative property of addition.

e.

The algebraic property illustrated by the equation 1aab=1aab=1b=b .

Associative property of multiplication, multiplicative inverse, multiplicative identity

Given:

The equation is, 1aab=1aab=1b=b

Concept Used:

  • Associative property, abc=abc .

Calculation:

Note that the given expression 1aab=1aab=1b=b illustrates the associative property of multiplication, multiplicative inverse, and multiplicative identity.

Chapter P Solutions

EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. P.1 - Prob. 1ECh. P.1 - Prob. 2ECh. P.1 - Prob. 3ECh. P.1 - Prob. 4ECh. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - Prob. 8ECh. P.1 - Prob. 9ECh. P.1 - Prob. 10ECh. P.1 - Prob. 11ECh. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Prob. 17ECh. P.1 - Prob. 18ECh. P.1 - Prob. 19ECh. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Prob. 22ECh. P.1 - Prob. 23ECh. P.1 - Prob. 24ECh. P.1 - Prob. 25ECh. P.1 - Prob. 26ECh. P.1 - Prob. 27ECh. P.1 - Prob. 28ECh. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Prob. 43ECh. P.1 - Prob. 44ECh. P.1 - Prob. 45ECh. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - Prob. 50ECh. P.1 - Prob. 51ECh. P.1 - Prob. 52ECh. P.1 - Prob. 53ECh. P.1 - Prob. 54ECh. P.1 - Prob. 55ECh. P.1 - Prob. 56ECh. P.1 - Prob. 57ECh. P.1 - Prob. 58ECh. P.1 - Prob. 59ECh. P.1 - Prob. 60ECh. P.1 - Prob. 61ECh. P.1 - Prob. 62ECh. P.1 - Prob. 63ECh. P.1 - In Exercises 63 and 64, use scientific notation to...Ch. P.1 - Prob. 65ECh. P.1 - Prob. 66ECh. P.1 - Prob. 67ECh. P.1 - Prob. 68ECh. P.1 - Prob. 69ECh. P.1 - Prob. 70ECh. P.1 - Prob. 71ECh. P.1 - Prob. 72ECh. P.1 - Prob. 73ECh. P.1 - Prob. 74ECh. P.1 - Prob. 75ECh. P.1 - Prob. 76ECh. P.2 - Prob. 1QRCh. P.2 - Prob. 2QRCh. P.2 - Prob. 3QRCh. P.2 - Prob. 4QRCh. P.2 - Prob. 5QRCh. P.2 - Prob. 6QRCh. P.2 - Prob. 7QRCh. P.2 - Prob. 8QRCh. P.2 - Prob. 9QRCh. P.2 - Prob. 10QRCh. P.2 - Prob. 1ECh. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Prob. 7ECh. P.2 - Prob. 8ECh. P.2 - Prob. 9ECh. P.2 - Prob. 10ECh. 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