Chapter 4.7, Problem 43E

To determine

To compare $0.00875\&8.75\times {10}^{-4}$ .

Answer to Problem 43E

  $0.00875>8.75\times {10}^{-4}$

Explanation of Solution

Given information: $0.00875\&8.75\times {10}^{-4}$

To compare the two numbers, denote all the numbers in their scientific format. Then compare first the exponent value of 10 in these terms. If two or more numbers have the same exponent of 10, compare the individual numbers.

If negative exponents of 10, then the lowest negative exponent will be greater than the higher negative exponent.

Here, $0.00875$ can be denoted in scientific form as $8.75\times {10}^{-3}$

Hence, on comparing the three numbers, $0.00875>8.75\times {10}^{-4}$