Question

Select the set of numbers that are arranged from greatest to least.

Answer 1

Given:

3 numbers,

`2.4*10^4;2.7*10^5\text{ and }3.1*10^5`

To find:

The option in which given numbers are arranged in from greatest to the least.

Step-by-step explanation:

The given numbers contain two parts, coefficient and base, and exponents.

The coefficients of the given numbers are 2.4, 2.7, and 3.1.

The base and the exponents are 10⁴ and 10⁵

Bigger the exponents the bigger the number. Even if the coefficient of a number is bigger, the number with a bigger exponent is considered the bigger number.

Thus the biggest number among the given numbers is 3.1× 10⁵.

The second biggest number among the given numbers is 2.7×10⁵

The smallest number is 2.4×10⁴

Thus the correct arrangement of numbers from greatest to least is;

`3.1*10^5;2.7*10^5;2.4*10^4`

Final answer:

Thus the correct answer is option D.