Question

Order the numbers from smallest to largest. Use the number line as a guide to ensure you put the numbers in the correct order.

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

Rank the items below smallest to largest
1.9 x 10^7
9.3 x 10^-7
4.5 x 10^4
3.2 x 10^4
-7.6 x 10^-9
5.7 x 10^13

Answer 1

To order the numbers from smallest to largest, we'll first convert them into standard decimal form to make comparisons easier:

1. \( 1.9 \times 10^7 = 19,000,000 \)
2. \( 9.3 \times 10^{-7} = 0.00000093 \)
3. \( 4.5 \times 10^4 = 45,000 \)
4. \( 3.2 \times 10^4 = 32,000 \)
5. \( -7.6 \times 10^{-9} = -0.0000000076 \)
6. \( 5.7 \times 10^{13} = 57,000,000,000,000 \)

Now let's list them in order from smallest to largest:

1. \( -7.6 \times 10^{-9} \)
2. \( 9.3 \times 10^{-7} \)
3. \( 3.2 \times 10^4 \)
4. \( 4.5 \times 10^4 \)
5. \( 1.9 \times 10^7 \)
6. \( 5.7 \times 10^{13} \)

So, the final ordered list from smallest to largest is:

1. \( -7.6 \times 10^{-9} \)
2. \( 9.3 \times 10^{-7} \)
3. \( 3.2 \times 10^4 \)
4. \( 4.5 \times 10^4 \)
5. \( 1.9 \times 10^7 \)
6. \( 5.7 \times 10^{13} \)