Q39. Use the properties of real to an... [FREE SOLUTION]

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Chapter 1: Q39. (page 15)

Use the properties of real to answer each question
If $m n = m$ , what is the value of $n$ ?

Short Answer

Expert verified

Value of n is1.

Step by step solution

- Write properties of real numbers

Properties of real numbers are written in following table:

For any real numbers $a, b,$ and $c :$
Property	Addition	Multiplication
Commutative	$a + b = b + a$	$a 路 b = b 路 a$
Associative	$(a + b) + c = a + (b + c)$	$(a 路 b) 路 c = a 路 (b 路 c)$
Identity	$a + 0 = a = 0 + a$	$a 路 1 = a = 1 路 a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a 鈮� 0$ , then $a 路 \frac{1}{a} = 1 = \frac{1}{a} 路 a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Compare with given equation

Compare identity property of multiplication with given equation to find required value as shown below

$\begin{matrix} a 鈰� 1 = a \\ m n = m \end{matrix}$

Thus, on substituting 1 for n, given equation is satisfied.

- Verification

Substitute 1 for n in given equation

$\begin{matrix} m n = m \\ m 鈰� 1 = m \\ m = m (True) \end{matrix}$

Thus, n is multiplicative identity of m

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Year	Average CPI
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91影视

Use the properties of real to answer each question
If $m n = m$ , what is the value of $n$ ?

Short Answer

Step by step solution

- Write properties of real numbers

- Compare with given equation

- Verification

One App. One Place for Learning.

Most popular questions from this chapter

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91影视

Use the properties of real to answer each question If mn=m, what is the value of n?

Short Answer

Step by step solution

- Write properties of real numbers

- Compare with given equation

- Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Discrete Mathematics

Logic and Functions

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Use the properties of real to answer each question
If $m n = m$ , what is the value of $n$ ?