Question

What is the order of 24.8 × 10⁻⁴ ,1.125 × 10⁴ ,and 258 × 10⁻⁵ from least greatest.

Answer 1

The numbers 24.8 × 10⁻⁴, 1.125 × 10⁴, and 258 × 10⁻⁵ when converted to decimal form are 0.00248, 11250, and 0.00258 respectively, thus their order from least to greatest is 24.8 × 10⁻⁴, 258 × 10⁻⁵, and 1.125 × 10⁴.

Step-by-step explanation:

To determine the order of the numbers 24.8 × 10⁻⁴, 1.125 × 10⁴, and 258 × 10⁻⁵ from least to greatest, we need to compare their values in standard form or as decimals.

First, convert each given number:

• 24.8 × 10⁻⁴ = 0.00248
• 1.125 × 10⁴ = 11250
• 258 × 10⁻⁵ = 258 × 0.00001 = 0.00258

Now compare the numbers:

1. 24.8 × 10⁻⁴ (0.00248)
2. 258 × 10⁻⁵ (0.00258)
3. 1.125 × 10⁴ (11250)

Therefore, the order from least to greatest is 24.8 × 10⁻⁴, 258 × 10⁻⁵, and 1.125 × 10⁴.