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Maths

Estimated Sum: Definition, Methods & Examples

Estimated Sum: Definition, Methods & Examples

Q: 1. What is the estimated sum of 45 and 39?

To find the estimated sum of 45 and 39, round each number to the nearest ten and then add them. 45 rounds to 5039 rounds to 40Now, add the rounded numbers: $50 + 40 = 90$. Therefore, the estimated sum of 45 and 39 is 90. This quick estimation method is commonly taught in Vedantu's math classes to help students develop mental math skills and number sense.

Q: 2. How to answer estimated sum?

To answer the estimated sum of two numbers, follow these steps: Round each number to the nearest ten, hundred, or other place value as required.Add the rounded numbers together.For example, for 68 + 23: 68 rounds to 7023 rounds to 20Estimated sum: $70 + 20 = 90$Vedantu tutors guide students in mastering estimation, a key skill for quick mental calculations and real-world problem-solving.

Q: 3. What is the estimated sum of 202 and 57?

To estimate the sum of 202 and 57: 202 rounds to 20057 rounds to 60Now add the rounded numbers: $200 + 60 = 260$. The estimated sum is 260. Such estimation strategies are emphasized in Vedantu’s interactive math sessions for better understanding of arithmetic operations.

Q: 4. What is the estimated sum of 54 and 39?

To find the estimated sum of 54 and 39: 54 rounds to 5039 rounds to 40Add the results: $50 + 40 = 90$. Therefore, the estimated sum is 90. Vedantu educators often use estimation techniques to help students check the reasonableness of their answers in exams and daily life.

Q: 5. What strategies help students estimate sums quickly?

Students can use several effective strategies to estimate sums: Rounding each number to the nearest ten or hundred before adding.Using compatible numbers that are easy to add, like 25, 50, 100.Applying front-end estimation, where only the leading digits are added first.All these methods are practiced in Vedantu’s interactive online classes to enhance calculation speed and confidence.

Q: 6. Why is estimation important in everyday math problems?

Estimation is important in everyday situations such as shopping, budgeting, and time management. It helps you: Quickly check the reasonableness of answers.Make fast decisions when exact calculations are not necessary.Develop strong number sense for problem-solving.At Vedantu, math teachers emphasize estimation to encourage logical thinking and practical arithmetic skills.

Q: 7. How do you estimate sums with three or more numbers?

To estimate sums with three or more numbers: Round each number to the nearest ten, hundred, or a suitable place value.Add the rounded numbers together.For example, estimate $138 + 47 + 24$: 138 rounds to 14047 rounds to 5024 rounds to 20Estimated sum: $140 + 50 + 20 = 210$. This approach is modeled in Vedantu curriculum resources for students at all grade levels.

Q: 8. What is front-end estimation and how is it used for sums?

Front-end estimation is a technique where only the most significant digits (the leftmost digits) are added first, while less significant digits are either ignored or adjusted. For example, in $487 + 263$, consider 400 + 200 = 600, then adjust for the remaining digits as needed. Vedantu’s math courses teach front-end estimation to build quick calculation skills for larger numbers.

Q: 9. How can estimation skills help you in competitive exams?

Strong estimation skills help students: Quickly eliminate incorrect answer choices.Save time by approximating complex calculations.Identify careless errors.Vedantu exam preparation programs include regular practice with estimation to improve speed and accuracy in competitive exams like Olympiads and school assessments.

Reviewed by:

Rama Sharma

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How to Estimate Sums Quickly in Math

Would you like to know more about the estimated sum for kids? We've got what you're looking for! This article will go over some information on what is estimated sum and how to estimate the sum. When attempting to solve a problem, estimation entails putting these conversion factors to use. Estimating can reduce some of the stress associated with needing to accurately compute the total of two numbers while solving problems with sums. Let’s learn more about it ahead!

How to Estimate the Sum?

There are many estimation methods in Maths. Our method for estimating an amount to the tenth consists of two steps:

STEP 1: Round the numbers to the nearest tenth.

If the number ends in 1, 2, 3 or 4, we round down.

If the number ends in 5, 6, 7, 8 or 9, we round up.

STEP 2: In the next step, add the rounded numbers to get a final estimated sum.

The same procedure can be used to estimate the sum for hundreds. However, instead of rounding off to the nearest tens, here we will be rounding off to the nearest hundreds.

Estimating Sums

Child Estimating the Sum of Candies

Ensure that your child is aware of the distinction between an actual sum and estimated sum! Actual sum is the sum of two numbers without rounding off, whereas in estimated sums, the numbers are rounded off to their nearest tens or hundreds. In the case of two-digit numbers, we can only estimate the sum to the nearest tens. Let us understand this concept better with a few examples.

Estimate the Sum to the Nearest Tens

For Example-

Let us estimate 38 + 23.

Solution: 38 is nearer to 40 than 30.

So, 38 is rounded up to 40.

23 is closer to 20 than 30.

So, 23 is rounded down to 20.

Hence, the result is 60.

Let us round off the numbers 389 and 535 to the nearest 100s and find the estimated and the actual sum.

Solution:

535 is closer to 500 than 600

and 389 is closer to 400 than 300

535 $\Rightarrow$ 500

389 $\Rightarrow$ 400

500 + 400 = 900

Hence, 400 + 500 = 900 is the estimated sum.

To find the actual sum:

389 + 535 = 924

924 is the actual sum.

Do remember these estimation methods in Maths so that if you see any sort of problem in your homework, there's no way you'll forget!

Solved Examples

Q 1: Calculate the estimated sum of 72 and 48.

Ans: 72 is rounded off to 70 as it is closer to 72.

48 is rounded off to 50 as it is closer than 40.

72 $\Rightarrow$ 70

48 $\Rightarrow$ 50

So, 72 is nearest to 70 and 48 is nearest to 50

70 + 50 = 120

Thus, the estimated sum = 120.

Q 2: Determine the estimated sum and the actual sum of 87 and 79.

Ans: 87 is rounded off to 90 as it is closer than 80.

79 is rounded off to 80 as 80 is closer than 70.

87 $\Rightarrow$ 90

79 $\Rightarrow$ 80

So, 87 is nearest to 90 and 79 is nearest to 80.

90 + 80 = 170

Thus, the estimated sum = 170

The actual sum of 87 and 79

87 + 79 = 166

Thus, the actual sum = 166.

Q 3: Find estimated sum of 586 and 120 to the nearest hundred.

Ans: 586 is rounded off as 600 as it is the nearest 100.

120 is rounded off as 100 is 100 is nearer to 120 than 200.

586 $\Rightarrow$ 600

120 $\Rightarrow$ 100

The nearest number to 600 is 586, and the nearest number to 100 is 120

600 + 100 = 700

Thus, the estimated sum to the nearest hundred = 700

Q 4 Tia and John collect marbles. Tia has 335 and John has 442 marbles. Decide which estimate is better for determining the number of marbles they own jointly.

Ans: Here, we’ll round off the digits to the nearest tens.

Tia's marble count is 335 rounded up to 340 as it is the nearest 10

John’s Marble count is 442 rounded up to 440 as 440 is the nearest 10

Total number of marbles = 340 + 440 = 780

∴The estimated answer is 780.

Q 5 A train terminal has 12 platforms. Approximately 115 trains depart each day from each platform. Calculate how many trains leave the terminal on a daily basis and give an approximation.

Ans: The total number of trains can be calculated by multiplying the number of platforms and the Number of trains leaving each platform

Total number of trains=12×115

12 is rounded off to 10 as it is the closest, and 115 is rounded as 120 as it is the nearest 10

Therefore, the estimated value=10×120= 1200.

Practice Questions

Q 1 Give the estimated sum of 27 + 44 to the nearest 10.

Ans: 70.

Q 2 Give the estimated sum of 54 + 38 to the nearest 10.

Ans: 90.

Q 3 Give the estimated sum of 41 + 38 to the nearest 10.

Ans: 80.

Summary

Now, your child has learnt what is estimated sum and the difference between actual sum and estimated sum. The examples provided in this article will encourage children to have a good understanding of the magnitude of numbers rather than overly relying on mathematical procedures to achieve an answer. Instead of memorising estimation methods in Maths, make sure your ward practises the problems.

FAQs on Estimated Sum: Definition, Methods & Examples

1. What is the estimated sum of 45 and 39?

To find the estimated sum of 45 and 39, round each number to the nearest ten and then add them.

45 rounds to 50
39 rounds to 40

Now, add the rounded numbers: $50 + 40 = 90$. Therefore, the estimated sum of 45 and 39 is 90. This quick estimation method is commonly taught in Vedantu's math classes to help students develop mental math skills and number sense.

2. How to answer estimated sum?

To answer the estimated sum of two numbers, follow these steps:

Round each number to the nearest ten, hundred, or other place value as required.
Add the rounded numbers together.

For example, for 68 + 23:

68 rounds to 70
23 rounds to 20
Estimated sum: $70 + 20 = 90$

Vedantu tutors guide students in mastering estimation, a key skill for quick mental calculations and real-world problem-solving.

3. What is the estimated sum of 202 and 57?

To estimate the sum of 202 and 57:

202 rounds to 200
57 rounds to 60

Now add the rounded numbers: $200 + 60 = 260$. The estimated sum is 260. Such estimation strategies are emphasized in Vedantu’s interactive math sessions for better understanding of arithmetic operations.

4. What is the estimated sum of 54 and 39?

To find the estimated sum of 54 and 39:

54 rounds to 50
39 rounds to 40

Add the results: $50 + 40 = 90$. Therefore, the estimated sum is 90. Vedantu educators often use estimation techniques to help students check the reasonableness of their answers in exams and daily life.

5. What strategies help students estimate sums quickly?

Students can use several effective strategies to estimate sums:

Rounding each number to the nearest ten or hundred before adding.
Using compatible numbers that are easy to add, like 25, 50, 100.
Applying front-end estimation, where only the leading digits are added first.

All these methods are practiced in Vedantu’s interactive online classes to enhance calculation speed and confidence.

6. Why is estimation important in everyday math problems?

Estimation is important in everyday situations such as shopping, budgeting, and time management. It helps you:

Quickly check the reasonableness of answers.
Make fast decisions when exact calculations are not necessary.
Develop strong number sense for problem-solving.

At Vedantu, math teachers emphasize estimation to encourage logical thinking and practical arithmetic skills.

7. How do you estimate sums with three or more numbers?

To estimate sums with three or more numbers:

Round each number to the nearest ten, hundred, or a suitable place value.
Add the rounded numbers together.

For example, estimate $138 + 47 + 24$:

138 rounds to 140
47 rounds to 50
24 rounds to 20

Estimated sum: $140 + 50 + 20 = 210$. This approach is modeled in Vedantu curriculum resources for students at all grade levels.

8. What is front-end estimation and how is it used for sums?

Front-end estimation is a technique where only the most significant digits (the leftmost digits) are added first, while less significant digits are either ignored or adjusted. For example, in $487 + 263$, consider 400 + 200 = 600, then adjust for the remaining digits as needed. Vedantu’s math courses teach front-end estimation to build quick calculation skills for larger numbers.

9. How can estimation skills help you in competitive exams?

Strong estimation skills help students:

Quickly eliminate incorrect answer choices.
Save time by approximating complex calculations.
Identify careless errors.

Vedantu exam preparation programs include regular practice with estimation to improve speed and accuracy in competitive exams like Olympiads and school assessments.