Question

Classify each number according to its value:

A) 3.2 × 10^5
B) 1.9 × 10^-1
C) 2.2 × 10^3
D) 2.4 × 10^3
E) 5.9 × 10^2
F) 6.1 × 10^1
G) 2.5 × 10^4

Answer 1

Numbers A) to G) are classified based on their values in scientific notation, ranging from less than 1 to the hundreds of thousands.

Step-by-step explanation:

To classify each number given by its value, we can consider whether it's less than 1, between 1 and 10, between 10 and 100, and so on. The power of ten in scientific notation tells us how many places to move the decimal point.

• A)
  `3.2 x 10^5`: This number is greater than 100,000.
• B)
  `1.9 x 10^-^1`: This number is less than 1.
• C)
  `2.2 x 10^3`: This number is greater than 1,000 but less than 10,000.
• D)
  `2.4 x 10^3`: Similar to C, this is also greater than 1,000 but less than 10,000.
• E)
  `5.9 x 10^2`: This number is greater than 100 but less than 1,000.
• F)
  `6.1 x 10^1`: This number is greater than 10 but less than 100.
• G)
  `2.5 x 10^4`: This number is greater than 10,000 but less than 100,000.

In summary, we have numbers ranging from less than 1 up to those in the hundreds of thousands.