Which term corresponds to the size of a number on a scale of powers of ten?

Which term corresponds to the size of a number on a scale of powers of ten?

• A. Order of magnitude
• B. Cardinality principle
• C. Reciprocal property
• D. Commutative property

Answer: (A)

The size of a number on a scale of powers of ten is described by its order of magnitude. This tells you roughly how big the number is by looking at the exponent in scientific notation. For example, 3,200 is about 3.2 × 10^3, so its order of magnitude is 3. Numbers from 1,000 to 9,999 share an order of magnitude of 3, while around 50,000 is about 5 × 10^4, giving an order of magnitude of 4. This concept helps you compare sizes quickly because each step in order of magnitude represents a tenfold difference. The other terms don’t describe scale on a ten-based system: they relate to counting elements, reciprocals, or swapping factors.

The size of a number on a scale of powers of ten is described by its order of magnitude. This tells you roughly how big the number is by looking at the exponent in scientific notation. For example, 3,200 is about 3.2 × 10^3, so its order of magnitude is 3. Numbers from 1,000 to 9,999 share an order of magnitude of 3, while around 50,000 is about 5 × 10^4, giving an order of magnitude of 4. This concept helps you compare sizes quickly because each step in order of magnitude represents a tenfold difference. The other terms don’t describe scale on a ten-based system: they relate to counting elements, reciprocals, or swapping factors.