The image shows a flowchart for classifying real numbers. The goal is to determine whether a given number belongs to the categories of
Natural,
Whole,
Integer,
Rational, or
Irrational. Let's solve the problem step by step using the flowchart and the given number \( \frac{56}{7} \).
---
Step 1: Start with the given number
The number provided is \( \frac{56}{7} \).
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Step 2: Can the number be evaluated further?
The flowchart asks, "Can it be evaluated any further?" Since \( \frac{56}{7} \) is a fraction, we can simplify it:
\[
\frac{56}{7} = 8
\]
So, the answer is
YES, the number can be evaluated further.
---
Step 3: Evaluate the number
The next step is to evaluate the simplified number. Using a calculator (if necessary), we find:
\[
\frac{56}{7} = 8
\]
So, the number evaluates to \( 8 \).
---
Step 4: Does the number have a decimal?
Now, we check if the number \( 8 \) has a decimal. Since \( 8 \) is a whole number and does not have any fractional or decimal part, the answer is
NO.
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Step 5: Is your number negative?
Since \( 8 \) is a positive number, the answer is
NO.
---
Step 6: Is your number zero?
Since \( 8 \) is not zero, the answer is
NO.
---
Step 7: Classify the number
At this point, the flowchart leads us to classify \( 8 \) as a
Natural number because it is a positive integer greater than zero.
---
Final Classification
The number \( \frac{56}{7} \) simplifies to \( 8 \), which is a
Natural number. Natural numbers are also
Whole numbers,
Integers, and
Rational numbers. However, the most specific classification for \( 8 \) is
Natural.
---
Boxed Answer
\[
\boxed{\text{Natural}}
\]
Parent Tip: Review the logic above to help your child master the concept of real numbers chart.
