Using a number line, what whole number and rational number to the nearest half is the square root of 40?

Answer 1

To find the square root of 40, we first calculate it:

\[ \sqrt{40} \approx 6.32 \]

Now, we can analyze the whole number and the rational number (to the nearest half) that are relevant to this value.

1. Whole Number: The whole number closest to \( 6.32 \) is \( 6 \).

2. Rational Number to the nearest half: To express \( 6.32 \) as a rational number to the nearest half, we can consider the halves around it:

   • \( 6.0 \)
   • \( 6.5 \)

Since \( 6.32 \) is closer to \( 6.5 \) than to \( 6.0 \), we round \( 6.32 \) to \( 6.5 \).

To summarize:

• The whole number is 6.
• The rational number to the nearest half is 6.5.