Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFraction

The quotient will be around 7

Step-by-step explanation:

Compatible numbers in division, refers to numbers that can be divided mentally.

27 + 2/3 ÷ 3 + 9/10

27 + 0.67 ÷ 3 + 0.9

27.67 ÷ 3.9

Approximately

28 ÷ 4

=7

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!