Chapter 1: Q29. (page 15)

Name the property illustrated by each equation.
$(3 \cdot 4) \cdot 25 = 3 \cdot (4 \cdot 25)$

Short Answer

Expert verified

Name of the property illustrated isAssociative multiplication.

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 3, b for 4 and c for 25 in given equation.

Now equation becomes $(a \cdot b) \cdot c = a \cdot (b \cdot c)$

- Identify the property

From the table of properties of real numbers, $(a \cdot b) \cdot c = a \cdot (b \cdot c)$ is the property of associativity in multiplication.

Thus, associative multiplication is illustrated by given equation.

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Name the property illustrated by each equation.
$(3 \cdot 4) \cdot 25 = 3 \cdot (4 \cdot 25)$

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.3·4·25=3·4·25

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

Decision Maths

Discrete Mathematics

Pure Maths

Mechanics Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
$(3 \cdot 4) \cdot 25 = 3 \cdot (4 \cdot 25)$