Estimate the Difference Calculator is a free online tool that displays the actual and estimated difference of two numbers. STUDYQUERIES’S online estimate the difference calculator tool makes the calculation faster, and it displays the difference in a fraction of seconds.

How to Use the Estimate the Difference Calculator?

The procedure to use the estimate the difference calculator is as follows:

  • Step 1: Enter the numbers in the respective input field
  • Step 2: Now click the button “Solve” to get the difference
  • Step 3: Finally, the actual and the estimated difference of the two numbers will be displayed in the output field

Estimate The Difference Calculator

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What Is Estimate The Difference And Calculator?

An estimate is an answer to a problem that is close to the solution, but not necessarily exact. Estimating can come in handy in a variety of situations, such as buying a computer. You may have to purchase numerous devices: a computer tower and keyboard for $1,295, a monitor for $679, a printer for $486, a warranty for $196, and software for $374. Estimating can help you know how much you’ll spend without actually adding those numbers exactly.

Estimate the Difference Calculator
Estimate the Difference Calculator

Estimation usually requires rounding. When you round a number, you find a new number that’s close to the original one. A rounded number uses zeros for some of the place values. If you round to the nearest ten, you will have a zero in the ones place. If you round to the nearest hundred, you will have zeros in the ones and tens places. Because these place values are zero, adding or subtracting is easier, so you can find an estimate to an exact answer quickly.

Estimate to Nearest Tens

In order to estimate to nearest tens, we follow the following procedure:

  • Obtain the number.
  • Examine the digit at ones place.
  • If the digit at ones place is less than 5, then replace the ones digit by 0 and keep the other digits as they are;

If the digit at ones place is 5 or greater than 5, then increase the tens digit by 1 and replace the ones digit by 0.

The number so obtained is the number obtained by rounding off the given number to the nearest tens.

Now, let us consider some of the examples of how to estimate to nearest tens.

\(\mathbf{\color{red}{79}}\)

Ones or unit digit is \(79\) is \(9\), which is greater than \(5\).

So, we replace the ones digit by 0 and increase the tens digit by \(1\) to get the rounded-off number.

Hence, rounded off number = \(80\).

\(\mathbf{\color{red}{44}}\)

The given number is \(44\).

Its ones or unit digit is \(4\), which is less than \(5\). So, we replace the ones digit by \(0\) to get the rounded-off number.

Hence, rounded off number = \(40\).

\(\mathbf{\color{red}{758}}\)

The given number is \(758\).

Its ones or unit digit is \(8\), which is greater than \(5\). So, we replace the ones digit by \(0\) and increase the tens digit by \(1\) to get the rounded-off number.

Hence, \(986\) is rounded off as \(760\) to the nearest tens.

\(\mathbf{\color{red}{9009}}\)

The given number is 9009.

Its ones or unit digit is \(9\), which is greater than \(5\). So, we increase the tens digit by \(1\) and replace the ones digit by \(0\) to get the rounded-off number.

Hence, rounded off number = \(9010\).

\(\mathbf{\color{red}{50001}}\)

The given number is \(50001\).

Its ones or unit digit is \(1\), which is less than \(5\). So, we replace the units digit by \(0\) to get the rounded-off number.

Hence, rounded off number = \(50000\).

Estimate to Nearest Hundreds

In order to estimate to nearest hundreds we follow the following procedure:

  • Obtain the number.
  • Examine the digit at tens place.
  • If the digit at tens place is less than \(5\), replace each one of the digits at tens and ones or units placed by 0 and keep all other digits as they are.

If the digit at tens place is \(5\) or greater than \(5\), increase the digit at hundreds place by \(1\) and replace each one of the digits at tens and ones place by \(0\).

The number so obtained is the number rounded off to the nearest hundreds.

Let us consider some of the examples to estimate to nearest hundreds:

\(\mathbf{\color{red}{5839}}\)

The given number is \(5839\).

Its tens digit is \(3\), which is less than \(5\). So, we replace each of the tens and ones digits by \(0\) and keep the other digits as they are to round off the given number to the nearest hundreds.

Hence, \(5839\) is rounded off to nearest hundreds as \(5800\).

\(\mathbf{\color{red}{9472}}\)

The given number is \(9472\).

Its tens digit is \(7\), which is greater than \(5\). So, we increase the digits at hundreds places by \(1\) and replace each one of the digits at tens and ones place by \(0\) to round off the given number to nearest hundreds.

Hence, \(9472\) is rounded off to nearest hundreds as \(9500\).

\(\mathbf{\color{red}{7456}}\)

The given number is \(7456\).

Its tens digit is \(5\). So, we replace each of the tens and ones digit by \(0\) and increase the hundreds digit by \(1\) to get the rounded-off number to the nearest hundred.

Hence, \(7456\) is rounded off to nearest hundreds as \(7500\).

It follows from the above examples that

(i) the numbers ending in \(01\ to\ 49\) are rounded off downwards.

(ii) the numbers ending in \(50\ to\ 99\) are rounded off upwards.

Important Note:

If the digit in the tens place is \(0,\ 1,\ 2,\ 3,\ or\ 4\) we replace the digits in the tens and one’s place by zero. If the digit in the tens place is \(5,\ 6,\ 7,\ 8,\ or\ 9\) we replace the digits in the tens and ones place by zeros. We also increase the digit in the hundreds place by \(1\).

Estimate to Nearest Thousands

In order to estimate to nearest thousands we follow the following procedure:

  • Obtain the number.
  • Examine the digit at hundreds place.
  • If the digit at hundreds place is less than \(5\), replace each one of the digits at hundreds, tens and ones or units place by \(0\) and keep all other digits as they are.

If the digit at hundreds place is \(5\) or greater than \(5\), increase the digit at thousands place by \(1\) and replace each one of the digits at hundreds, tens and ones place by \(0\).

The number so obtained is the number rounded off to the nearest thousands.

For example:

\(\mathbf{\color{red}{14329}}\)

The given number is \(14329\).

Its digit at hundreds place is \(3\), which is less than \(5\). So, we replace each of the hundreds, tens and ones digits by \(0\) and keep the other digits as they are.

So, the number \(14329\) is rounded off to the nearest thousands as \(14000\).

\(\mathbf{\color{red}{14729}}\)

The given number is \(14729\).

Its digit at hundreds place is \(7\), which is greater than \(5\). So, we increase the digit at thousands place by \(1\) and replace each one of the digits at hundreds, tens and ones place by \(0\) to get the rounded-off numbers.

Hence, the number \(14729\) is rounded off to the nearest thousands as \(15000\).

\(\mathbf{\color{red}{14579}}\)

The given number is \(14579\).

Its digit at hundreds place is \(5\). So, we increase the digit at thousands place by \(1\) and replace each one of the digits at hundreds, tens and ones place by \(0\) to get the rounded-off numbers.

Hence, the number \(14579\) is rounded off to the nearest thousands as \(15000\).

Remainder Calculator

Important Note:

If the digit in the hundreds place is \(0,\ 1,\ 2,\ 3,\ or\ 4\) we replace the digits in the hundreds, tens and ones place by zeroes. If the digit in the hundreds place is \(5,\ 6,\ 7,\ 8,\ or\ 9\) we replace the digits in the hundreds, tens and ones place by zeros. We also increase the digit in the thousands place by \(1\).

Estimating Sums, Differences, Products, and Quotients

Knowing how to approximate or estimate not only saves you time but can also help you check your answer to see whether it is reasonable.

Estimating Sums

Use rounded numbers to estimate sums.

Give an estimate for the sum \(3,741 + 5,021\) rounded to the nearest thousand.

Estimating Sums
Estimating Sums

Note: The symbol \(\approx\) means is approximately equal to.

Estimating Differences

Use rounded numbers to estimate differences.

Give an estimate for the difference of \(317,753 – 115,522\) rounded to the nearest hundred thousand.

Estimating Differences
Estimating Differences

Estimating Products

Use rounded numbers to estimate products.

Estimate the product of \(722 \times 489\) by rounding to the nearest hundred.

Estimating Products Example
Estimating Products Example

If both multipliers end in \(50\) or are halfway numbers, then rounding one number up and one number down will give you a better estimate of the product.

Estimate the product of \(650 \times 350\) by rounding to the nearest hundred.

Estimating Products
Estimating Products

You can also round the first number down and the second number up and get this estimate: equation

Estimating Product
Estimating Product

In either case, your approximation is closer than it will be if you round both numbers up, which is the standard rule.

Estimating Quotients

Use rounded numbers to estimate quotients.

Estimate the quotient of \(891 \div 288\) by rounding to the nearest hundred.

FAQs

What is the estimated difference in math?

To estimate the difference, we round-off each number to the nearest tens and then subtract the rounded-off numbers. Let us estimate \(48 – 22\). The number \(22\) is nearer to \(20\) than \(30\). So, \(22\) is rounded down to \(20\). The number \(48\) is nearer to \(50\) than \(40\). So, \(48\) is rounded down to \(50\). Therefore the difference between 48 and 22 is estimated as 30.

How will you estimate the difference between two numbers?

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers.

What is the estimated difference of 804 – 537?

Hence, we can conclude that the estimated difference of \(804 – 537\) will be equal to \(260\).

What is the difference between estimation and calculation?

The calculation will result in a Certain answer, but Estimation is a calculation in which we are not certain about the answer and the answer is probably most times more than \(90\%\). We can calculate how much unemployment exists in percent. For example, \(20\%\) ( we are sure about this number as we divide the number by the total.)