Question

1/6 * 10^3 / 4 *10^-1

Answer 1

$\frac{ \frac{1}{6}* 10^{3} }{4*10^{-1} } = \frac{1}{24} * 10^{4}= \frac{10000}{24} =416 \frac{2}{3}$

Answer 2

To solve this expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders (e.g., powers and square roots)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The expression is as follows:

(1/6) * 10^3 / 4 * 10^-1

Let's solve it step-by-step:

Step 1: Exponents 10^3 = 10 * 10 * 10 = 1000 10^-1 = 1/10

Step 2: Multiplication and Division (from left to right) (1/6) * 1000 / 4 * (1/10)

Step 3: Perform the multiplication and division: (1/6) * 1000 = 166.666667 (rounded to six decimal places) 166.666667 / 4 = 41.666667 (rounded to six decimal places) 41.666667 * (1/10) = 4.166667 (rounded to six decimal places)

So, the final result of the expression is approximately 4.166667.