Chapter 1: Q31. (page 15)

Name the property illustrated by each equation.
31. $[5 + (- 2)] + (- 4) = 5 + [- 2 + (- 4)]$

Short Answer

Expert verified

Name of the property illustrated isAssociative Addition.

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 5, b for $- 2$ and c for $- 4$ in given equation.

Now equation becomes $(a + b) + c = a + (b + c)$

- Identify the property

From the table of properties of real numbers, $(a + b) + c = a + (b + c)$ is the property of associativity in addition

Thus, associative addition is illustrated by given equation.

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Name the property illustrated by each equation.
31. $[5 + (- 2)] + (- 4) = 5 + [- 2 + (- 4)]$

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.31. 5+-2+-4=5+-2+-4

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

Mechanics Maths

Calculus

Probability and Statistics

Pure Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
31. $[5 + (- 2)] + (- 4) = 5 + [- 2 + (- 4)]$