Chapter 1: Q36. (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 $n$ is 0.

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	$a + b = b + a$	$a \cdot b = b \cdot a$
Associative	$(a + b) + c = a + (b + c)$	$(a \cdot b) \cdot c = a \cdot (b \cdot c)$
Identity	$a + 0 = a = 0 + a$	$a \cdot 1 = a = 1 \cdot a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a \neq 0$ , then $a \cdot \frac{1}{a} = 1 = \frac{1}{a} \cdot a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Compare with given equation

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

$\begin{matrix} a + 0 = a \\ m + n = m \end{matrix}$

Thus, on substituting 0 for n, given equation is satisfied.

- Verification

Substitute 0 for n in given equation

$\begin{matrix} m + n = m \\ m + 0 = m \\ m = m (T r u e) \end{matrix}$

Thus, value of n is 0.

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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.

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Use the properties of real to answer each questionIf 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

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Discrete Mathematics

Decision Maths

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

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