Problem 1 Decide whether each statement is... [FREE SOLUTION]

Chapter 1: Problem 1

Decide whether each statement is true or false. If it is false, say why. In the fraction \(\frac{5}{8}, 5\) is the numerator and 8 is the denominator.

Short Answer

Expert verified

True. 5 is the numerator and 8 is the denominator.

Step by step solution

Identify Numerator and Denominator

In the fraction \(\frac{5}{8}\), the numerator is the number above the fraction bar, and the denominator is the number below it. Identify which number is in each position.

Verify Positions

Check that 5 is indeed above the fraction bar and 8 is below it. This confirms the numerator is 5 and the denominator is 8.

Determine Truth of Statement

Since the statement says that in the fraction \(\frac{5}{8}\), 5 is the numerator and 8 is the denominator, and this matches the positions identified, the statement is true.

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Key Concepts

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

Numerator

The numerator is a key part of a fraction. It is the number written above the fraction bar. For example, in the fraction \(\frac{5}{8}\), the number 5 is the numerator.
The numerator represents how many parts of the whole are being considered. If you think of a pizza cut into 8 pieces, the numerator tells you how many slices you have.
Key points to remember about numerators:

The numerator is always at the top of the fraction.
It shows the quantity or count of parts.
It can be any integer (positive, negative, or zero).

Denominator

The denominator is the number below the fraction bar. In the fraction \(\frac{5}{8}\), the number 8 is the denominator.
The denominator tells you into how many equal parts the whole is divided. Continuing with the pizza example, the denominator shows that the whole pizza is cut into 8 equal slices.
Important notes about denominators:

Denominators are always located at the bottom of the fraction.
It indicates the total number of equal parts.
The denominator cannot be zero, as division by zero is undefined.

Fraction Identification

To identify fractions correctly, you need to clearly distinguish between the numerator and the denominator.
A fraction like \(\frac{5}{8}\) gives a clear division:

The numerator (5) shows how many parts you have.
The denominator (8) shows into how many parts the whole is divided.

Understanding this helps in comparing and performing operations with fractions.
When evaluating whether a given statement about a fraction is true, always ensure:

You correctly identify the numerator and denominator.
You verify their positions in the fraction.
You understand what the fraction represents.

By mastering these basics, working with fractions becomes much easier.

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91影视

Decide whether each statement is true or false. If it is false, say why. In the fraction \(\frac{5}{8}, 5\) is the numerator and 8 is the denominator.

Short Answer

Step by step solution

Identify Numerator and Denominator

Verify Positions

Determine Truth of Statement

Key Concepts

Numerator

Denominator

Fraction Identification

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