Estimation using Compatible Numbers

Front

What is the process of estimating a quotient using compatible numbers?

Back

Estimating a quotient using compatible numbers involves rounding the numbers to the nearest values that are easy to divide, making mental calculations simpler.

Front

What is a divisor in division?

Back

The divisor is the number that is doing the dividing in a division problem.

Front

How do you estimate the quotient of 7,301 ÷ 76 using compatible numbers?

Back

Round 7,301 to 7,200 and 76 to 80, then divide: 7,200 ÷ 80 = 90.

Front

What are compatible numbers?

Back

Compatible numbers are numbers that are easy to work with mentally, often rounded to make calculations simpler.

Front

Estimate the quotient of 3,129 ÷ 42 using compatible numbers.

Back

Round 3,129 to 3,120 and 42 to 40, then divide: 3,120 ÷ 40 = 78.

Front

If there are 82 students and 4 teachers, how do you estimate the number of students per class?

Back

Divide 82 by 4, which is approximately 20 students per class.

Front

What is the importance of estimation in mathematics?

Back

Estimation helps to quickly assess the reasonableness of answers and simplifies complex calculations.

Front

What is the difference between exact division and estimation?

Back

Exact division gives a precise answer, while estimation provides a rough approximation that is easier to calculate.

Front

How can rounding help in estimating quotients?

Back

Rounding makes numbers simpler and more manageable, allowing for quicker mental calculations.

Front

What is the estimated quotient of 1,500 ÷ 30 using compatible numbers?

Back

Round 1,500 to 1,500 and 30 to 30, then divide: 1,500 ÷ 30 = 50.