- Round the divisor to the nearest 10 or 100, depending on how many digits are in the divisor. …
- Round the dividend to the nearest 10, 100, or 1,000 so that all of the digits, except the first one are zeros. …
- Divide 600 by 30. …
- Compare your estimate to the exact answer to determine if the exact answer is reasonable.
How can you use estimation to check that your answer is reasonable?
A reasonable estimate
does not exceed the original numbers in a problem
. For instance, in a division problem like 424 ÷ 4 − 10, we can check is our answer is reasonable or not, by estimating an approximate answer or by plugin gin using the division formula.
How do you estimate the quotient?
To estimate the quotient, we
first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers
. In a division sum, when the divisor is made up of 2 digits or more than 2 digits, it helps if we first estimate the quotient and then try to find the actual number.
How do you check for reasonableness?
Subtract the smaller number from the larger one
to check for reasonableness. In this example, you would subtract 600 from 651 to get 51. The numbers are reasonably close, so you can probably accept that 651 is the correct answer.
Why is it important to know how do you estimate quotients?
It is important for the students to know how to estimate because
sometimes they may not need to find an exact answer for a problem
. Also, estimation is an excellent way for the students to check their quotients to see if it is reasonable.
What is the quotient of 5 12 and 3 8?
512 ÷ 38 is
109
.
What is the quotient of 16 divided by 5?
Using a calculator, if you typed in 16 divided by 5, you’d get
3.2
. You could also express 16/5 as a mixed fraction: 3 1/5. If you look at the mixed fraction 3 1/5, you’ll see that the numerator is the same as the remainder (1), the denominator is our original divisor (5), and the whole number is our final answer (3).
What does check for reasonableness mean?
To be reasonable means
to be as much as is appropriate or fair
. In math, reasonableness can be defined as checking to verify that the result of the solution or the calculation of the problem is correct or not, be either estimating or by plugging in your result to check it.
Can an answer be incorrect if it looks reasonable?
Can an answer be incorrect if it looks reasonable? Explanation:
Yes, an answer can be incorrect even if it
looks reasonable, for two main reasons: The assumptions (premises or statements) on which the reasoning is based are wrong.
What is a reasonableness test?
The reasonableness standard is
a test that asks whether the decisions made were legitimate and designed to remedy a certain issue under the circumstances at the time
. Courts using this standard look at both the ultimate decision, and the process by which a party went about making that decision.
Why is it a good idea to estimate first?
For students, estimating is an important skill. First and foremost, we want
students to be able to determine the reasonableness of their answer
. Without estimation skills, students aren’t able to determine if their answer is within a reasonable range.
What are two ways to estimate?
There are different methods for estimation that are useful for different types of problems. The three most useful methods are the
rounding, front-end and clustering methods
.
Why is it important to estimate?
The purpose of estimating is
to determine the cost of a project before you actually do the work
. Estimating must take into consideration variable job conditions, the cost of materials, labor cost, labor availability, direct job expenses, and management costs (overhead).
How do you find the quotient?
The quotient is
the number obtained by dividing one number by another
. For example, if we divide the number 6 by 3, the result so obtained is 2, which is the quotient. It is the answer from the division process. The quotient can be an integer or a decimal number.
What is the quotient of 6 divided by 2 3?
Spelled result in words is nine.
