Order the numbers from least to greatest - use the number line to help you visualize correct placement.

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

(6 points)

_____, _____, _____, _____, _____, _____

0.0062, 7.6×10
−2
, 2.4×10
3
, 8,900, 1.2×10
4
, 5.5×10
4

1 answer

To order the numbers from least to greatest, we first need to convert any scientific notation to standard form:

  1. 0.0062 is already in standard form.
  2. 7.6 × 10⁻² = 7.6 × 0.01 = 0.076.
  3. 2.4 × 10³ = 2.4 × 1000 = 2400.
  4. 8,900 is already in standard form.
  5. 1.2 × 10⁴ = 1.2 × 10000 = 12000.
  6. 5.5 × 10⁴ = 5.5 × 10000 = 55000.

Now we have:

  • 0.0062
  • 0.076
  • 2400
  • 8900
  • 12000
  • 55000

Now, let's order them from least to greatest:

  • 0.0062
  • 0.076
  • 2400
  • 8900
  • 12000
  • 55000

So the final ordered list is:

0.0062, 0.076, 2400, 8900, 12000, 55000

The answer format:

_____, _____, _____, _____, _____, _____

0.0062, 0.076, 2400, 8900, 12000, 55000