Question

Is 10.56556555 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 . a rational or irrational​ number?
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Part 1
Choose the correct answer below.
rational number
irrational number

Answer 1

To determine if the number \( 10.56556555 - 4 - 4 - 4 \) is rational or irrational, we perform the calculations step by step:

1. Start with \( 10.56556555 \).
2. Decrease by \( 4 \) three times:

\[
10.56556555 - 4 = 6.56556555
\]
\[
6.56556555 - 4 = 2.56556555
\]
\[
2.56556555 - 4 = -1.43443445
\]

The final result is \( -1.43443445 \).

**Rational vs. Irrational Numbers:**
- A rational number can be expressed as a fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\).
- An irrational number cannot be expressed as a fraction of integers.

The number \( -1.43443445 \) is a decimal that terminates after a certain number of decimal places, and it can be expressed as a fraction. Specifically, it can be written as \( \frac{-143443445}{100000000} \).

Since it can be expressed as a fraction, \( -1.43443445 \) is a **rational number**.

Thus, the correct answer is:
**rational number**.