Final answer:
The question involves ordering a set of numbers, including whole numbers, decimals, fractions, and square roots, from least to greatest. The correct order is √51 < 16 3/4 < 26.8 < √400 < 48.6.
Step-by-step explanation:
The student is asking to order numbers from least to greatest value, which includes whole numbers, fractions, decimals, and square roots. First, we need to identify and compare the values of these numbers.
- √400 is a square root and it equals 20 since 20×20 = 400.
- 16 3/4 is a mixed number, and it equals 16.75 when converted to decimal.
- 26.8 is already a decimal number, so its value is 26.8.
- √51 is a square root and since 7×7 = 49 and 8×8 = 64, its value lies between 7 and 8, more precisely, it's around 7.14.
- 48.6 is also a decimal number with the value of 48.6.
So, if we order these numbers from least to greatest, we get:
- √51 (approximately 7.14)
- 16 3/4 (16.75)
- 26.8
- √400 (20)
- 48.6