Question

Arrange the values according to magnitude.

Greatest
59000
2.1 x 10⁵
43 x 10⁻²
9.0 x 10⁻⁶
7.8 x 10⁻⁶
Least

Answer 1

The values arranged from least to greatest are 9.0 × 10⁻⁶, 7.8 × 10⁻⁶, 43 × 10⁻², 2.1 × 10⁵, and 59000. This arrangement is based on the scientific notation and the exponents of each number.

Step-by-step explanation:

To arrange the values according to magnitude from least to greatest, we must express each of them in standard numerical form or compare their scientific notations directly. It's clear that values with a negative exponent will be smaller than those with a positive exponent or without an exponent.

1. 9.0 × 10⁻⁶
2. 7.8 × 10⁻⁶
3. 43 × 10⁻²
4. 2.1 × 10⁵
5. 59000

Now the numbers are in order from least to greatest: 9.0 × 10⁻⁶ (smallest), 7.8 × 10⁻⁶, 43 × 10⁻², 2.1 × 10⁵, 59000 (greatest).