Final answer:
The question involves calculating the sum of '2 hundreds 6 tens 12 ones,' which equals 272 in the decimal system. The decimal system's place value is based on powers of ten, corresponding to the number of human fingers. Common groupings of numbers such as 'dozen' and 'gross' are used to simplify counting and purchasing items.
Step-by-step explanation:
The question '2 hundreds 6 tens 12 ones' refers to a number in the base-ten numbering system, where each place value is ten times greater than the one to its right. This system is also known as the decimal system, which is widely used due to its simplicity and relation to human anatomy, considering we have ten fingers to count on. To convert '2 hundreds 6 tens 12 ones' to a standard numerical expression, we simply add the values represented by each place: 200 (2 hundreds) + 60 (6 tens) + 12 (12 ones), which equals 272.
Conversion Example:
- 2 hundreds = 200
- 6 tens = 60
- 12 ones = 12
Adding these together: 200 + 60 + 12 = 272.
Groups of objects are often named for convenience when dealing with large quantities. For example, a 'dozen' refers to 12 items, and a 'gross' refers to 144 items, or a dozen dozens. Understanding these groupings can be helpful when dealing with numerical quantities in various contexts.