Question

Arrange the following set of numbers from smallest to largest:

7.26 x 10
3.24 x 108
2.8 x 101
2.0 x 10-8
3.5 x 103

Answer 1

To arrange numbers in scientific notation from smallest to largest, compare the exponents first and then the coefficients. Starting with the smallest exponent (-8), the smallest number is 2.0 x 10^-8. The largest number, with the greatest exponent (12), is 2.8 x 10^12.

Step-by-step explanation:

To arrange the given set of numbers from smallest to largest, we need to compare their powers of ten first and then consider the coefficients:

• 2.0 x 10^-8 (since it has the smallest exponent, this is the smallest number)
• 3.24 x 10^8
• 7.26 x 10^3
• 3.5 x 10^3 (since 3.5 is greater than 3.24, but they share the same exponent)
• 2.8 x 10^12 (this has the largest exponent, making it the largest number)

The numbers arranged from smallest to largest are:

1. 2.0 x 10^-8
2. 7.26 x 10^3
3. 3.5 x 10^3
4. 3.24 x 10^8
5. 2.8 x 10^12