Chapter 1: Q14. (page 51)

Name the property illustrated by each equation or statement.
14. If $(r + s) t = rt + st$ , then $rt + st = (r + s) t$ .

Short Answer

Expert verified

Property illustrated in the statement issymmetric property of equality.

Step by step solution

– Symmetric property of equality.

Symmetric property of equality states that, for any real numbers p and $q,$ if $p = q$ , then $q = p$ .

– Description of step.

Apply symmetric property of equality to $(r + s) t = r t + s t$ .

$r t + s t = (r + s) t$

– Description of step.

From step 1 and step 2, it can be concluded that the property illustrated in the given statement is symmetric property of equality.

Therefore, symmetric property of equality is illustrated in the given statement.

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Name the property illustrated by each equation or statement.
14. If $(r + s) t = rt + st$ , then $rt + st = (r + s) t$ .

Short Answer

Step by step solution

– Symmetric property of equality.

– Description of step.

– Description of step.

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Name the property illustrated by each equation or statement.14. If r+st=rt+st, then rt+st=r+st.

Short Answer

Step by step solution

– Symmetric property of equality.

– Description of step.

– Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Probability and Statistics

Statistics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation or statement.
14. If $(r + s) t = rt + st$ , then $rt + st = (r + s) t$ .