Question

Select the numbers that are arranged from greatest to least.

Answer 1

D

Step-by-step explanation:

Let's write each number as a decimal.

1.6 x 10⁻⁴ = 0.00016

Because multiply by 10⁻⁴ means that the decimal point of 1.6 is 4 places to the left. In the same way, we get for each option

Option A.

1.6 x 10⁻⁴ = 0.00016

1.62 x 10⁻⁴ = 0.000162

1.7 x 10⁻⁵ = 0.000017

Therefore, 0.000162 is greater than 0.00016 and they are not arranged from greatest to least.

Option B.

1.62 x 10⁻⁴ = 0.000162

1.6 x 10⁻⁵ = 0.000016

1.7 x 10⁻⁵ = 0.000017

Since 0.000017 is greater than 0.000016, they are not arranged from greatest to least

Option C.

1.6 x 10⁻⁵ = 0.000016

1.7 x 10⁻⁵ = 0.000017

1.62 x 10⁻⁴ = 0.000162

Since 0.000017 is greater than 0.000016, they are not arranged from greatest to least

Option D.

1.62 x 10⁻⁴ = 0.000162

1.7 x 10⁻⁵ = 0.000017

1.6 x 10⁻⁵ = 0.000016

Then, the correct option is D.