Question

What expression can you use to estimate the quotient for 356 divided by 27?

O 35 ÷ 30
O 36 ÷ 30
O 350 ÷ 30
O 360 ÷ 30

Answer 1

The expression that can be used to estimate the quotient for 356 divided by 27 is
`\( (360)/(30) \).`

Step-by-step explanation:

To estimate the quotient of 356 divided by 27, we want to find a friendly or easily divisible number that is close to 356. Among the provided options, 360 is the closest number that is divisible by 30. Therefore, the expression
`\( (360)/(30) \)`can be used to estimate the quotient. This estimation simplifies the division process, making it more manageable without the need for a calculator.

Breaking down the expression
`\( (360)/(30) \)`, we find that it equals 12. This result provides a reasonable estimate for the quotient of 356 divided by 27. While the exact quotient may differ slightly, using the expression
`\( (360)/(30) \)`gives a quick and reasonable approximation that is easy to work with mentally.

In summary, the choice of
`\( (360)/(30) \)`as an estimation for 356 divided by 27 is strategic. It simplifies the division process while maintaining a reasonable degree of accuracy. This approach is especially useful in situations where an exact calculation is not necessary, and a quick estimate is sufficient for practical purposes.