Chapter 1: Q9. (page 15)

Name the property illustrated by each equation.
$4 x + 0 = 4 x$

Short Answer

Expert verified

Name of the property illustrated is Additive Identity.

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	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Substitution in given values

Substitute a for in given equation.

Now equation becomes $a + 0 = a$

- Identify the property

From the table of properties of real numbers, $a + 0 = a$ is the property of identity in addition

Thus, additive identity is illustrated by given equation.

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Name the property illustrated by each equation.
$4 x + 0 = 4 x$

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

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Name the property illustrated by each equation.4x+0=4x

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
$4 x + 0 = 4 x$