Write the following rational numbers in their decimal form and also state which are terminating.

• (a) 3/8
• (b) 229/400
• (c) 4 1/5
• (d) 2/11
• (e) 8/125

Let's convert the given rational numbers into their decimal forms and identify which ones are terminating.

Decimal Conversions

• (a) 3/8: This fraction equals 0.375. It is a terminating decimal.
• (b) 229/400: This fraction equals 0.5725. It is a terminating decimal.
• (c) 4 1/5: Converting this mixed number gives us 4.2. It is a terminating decimal.
• (d) 2/11: This fraction equals approximately 0.181818..., which is a repeating decimal and not terminating.
• (e) 8/125: This fraction equals 0.064. It is a terminating decimal.

Summary of Terminating Decimals

The terminating decimals from the list are:

• 3/8 = 0.375
• 229/400 = 0.5725
• 4 1/5 = 4.2
• 8/125 = 0.064

The only non-terminating decimal is 2/11, which repeats indefinitely.