Chapter 1: Q. 3 BCYP (page 19)

Evaluate each expression using the properties of numbers. Name the property used in each step.
3B. $\frac{5}{3} \cdot 25 \cdot 3 \cdot 2$

Short Answer

Expert verified

The value of the expression is 250.

Step by step solution

– Write the formulae used

Associative property of multiplication:

$(a \cdot b) \cdot c = a \cdot (b \cdot c)$

Commutative property of multiplication:

$a \cdot b = b \cdot a$

Inverse property of multiplication:

localid="1648218764262" $a \cdot \frac{1}{a} = \frac{1}{a} \cdot a = 1$

– Write the given information

The expression given is

$\frac{5}{3} \cdot 25 \cdot 3 \cdot 2$

- DESCRIPTION OF STEP

To solve given expression use commutative property and associative property to solve it as:

$\begin{matrix} \frac{5}{3} \cdot 25 \cdot 3 \cdot 2 = 25 \cdot \frac{5}{3} \cdot 3 \cdot 2 commutativeproperty \\ = 25 \cdot (\frac{5}{3} \cdot 3) \cdot 2 associativeproperty \\ = 25 \cdot (5 \cdot 1) \cdot 2inverseproperty \\ = 25 \cdot 5 \cdot 2 \\ = 25 \cdot 10 \\ = 250 \end{matrix}$

Hence, $\frac{5}{3} \cdot 25 \cdot 3 \cdot 2 = 250$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate each expression using the properties of numbers. Name the property used in each step.
3B. $\frac{5}{3} \cdot 25 \cdot 3 \cdot 2$

Short Answer

Step by step solution

– Write the formulae used

– Write the given information

- DESCRIPTION OF STEP

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Geometry

Probability and Statistics

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate each expression using the properties of numbers. Name the property used in each step.3B.53⋅25⋅3⋅2

Short Answer

Step by step solution

– Write the formulae used

– Write the given information

- DESCRIPTION OF STEP

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Geometry

Probability and Statistics

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate each expression using the properties of numbers. Name the property used in each step.
3B. $\frac{5}{3} \cdot 25 \cdot 3 \cdot 2$