Question

The operation symbol and the exponent are missing in the equation shown below.

Answer 1

Answer:

The operating symbol is divide (/) and the exponent is 5

$7,320 / \ 10^5 = 0.07320$

Step-by-step explanation:

Given

$7,320 \ \_\ 10^{\_} = 0.07320$

Required

Fill in the gap

$7,320 \ \_\ 10^{\_} = 0.07320$

Multiply the right hand side by 1

$7,320 \ \_\ 10^{\_} = 0.07320 * 1$

Express 1 as 100000/100000 because 100000/100000 = 1

$7,320 \ \_\ 10^{\_} = 0.07320 * \frac{100000}{100000}$

Split the fraction

$7,320 \ \_\ 10^{\_} = 0.07320 * 100000 * \frac{1}{100000}$

Multiply 0.7320 and 10000

$7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{100000}$

Express $\frac{1}{100000}$ as an exponent

$7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{10^5}$

Change the * sign to /

$7,320 \ \_\ 10^{\_} = 7,320 / \frac{10^5}{1}$

$7,320 \ \_\ 10^{\_} = 7,320 / \ 10^5$

Compare the expression on the right hand side with the left hand side base on the order of appearance;

$7,320 = 7,320$

$The first\ \ _ = \ /$

$10 = 10$

$The second\ \_ = 5$

Hence, the operating symbol is / and the exponent is 5