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Chapter 4: Problem 39

Express answers in standard notation. $$ \frac{15,000 \times 0.25}{0.0075 \times 50,000} $$

Short Answer

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Step by step solution

01

Write down the given expression

The given mathematical expression is tokenize expression: \(\dfrac{15,000 \times 0.25}{0.0075 \times 50,000}\)
02

Multiply the denominator

Calculate the multiplication at the denominator \(0.0075 \times 50,000 = 375\)
03

Divide the results

Now, divide the result from Step 2 by the result from Step 3 \(3,750 \times 0.25}} =:-432....}} \):final-expr$}
04

Simplify the division

Simplify the division $$=0}} Scanned/Tokenizer....completed-replace -1222... ... Divide}..000}....,

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Numerator and Denominator
When simplifying fractions, it's essential to understand the terms 'numerator' and 'denominator'.
The numerator is the number on top of the fraction line, representing the part of the whole.
In the given expression \( \dfrac{15,000 \times 0.25}{0.0075 \times 50,000} \), \( 15,000 \times 0.25 \) is the numerator.
The denominator is the number below the fraction line, indicating the total segments the whole is divided into.
Here, \( 0.0075 \times 50,000 \) is the denominator.
Understanding these terms helps us follow the fraction simplification process more effectively.
Multiplication and Division
Multiplication and division are operations we often use to simplify fractions.
In our example, we need to perform these operations on both the numerator and the denominator.
First, multiply the values in the numerator:
\( 15,000 \times 0.25 = 3,750 \)
Next, multiply the values in the denominator:
\( 0.0075 \times 50,000 = 375 \)
Now, we have a simpler fraction to work with:
\( \dfrac{3,750}{375} \)
Once the multiplication is done, we proceed by dividing the numerator by the denominator.
It allows us to simplify the fraction further.
Step-by-Step Solution
Solving the given exercise involves a clear and orderly step-by-step method:

Step 1: Write down the expression \( \dfrac{15,000 \times 0.25}{0.0075 \times 50,000} \)
Step 2: Perform multiplication in the numerator:
\( 15,000 \times 0.25 = 3,750 \)
Step 3: Perform multiplication in the denominator:
\( 0.0075 \times 50,000 = 375 \)
Step 4: Divide the results from steps 2 and 3:
\( \dfrac{3,750}{375} = 10 \)
Step 5: Simplify the result if necessary.
In this particular case, the final answer is \( 10 \).
Our step-by-step approach ensures accurate results and better understanding.

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Most popular questions from this chapter

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