Exercise 2.Set Out The Following Sums And Calculate The Answers. Be Careful To Get The Digits In The Right Column.1. ${$203 + 67 + 729 =$}$2. ${$342 + 12583 + 45 =$}$3. ${$4296 + 99201 =$}$4. ${ 405 + 378 + 281 =\$}

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In this exercise, we will be setting out and calculating the answers to four different sums. Each sum involves adding multiple numbers with varying numbers of digits. It is essential to be careful when placing the digits in the correct column to ensure accurate calculations.

Sum 1: 203 + 67 + 729

To calculate the sum of 203, 67, and 729, we will first add the hundreds place, then the tens place, and finally the ones place.

  • Hundreds Place: 200 + 60 + 700 = 960
  • Tens Place: 0 + 0 + 20 = 20
  • Ones Place: 3 + 7 + 9 = 19

Now, we will combine the results from each place value to get the final answer.

  • 960 + 20 = 980
  • 980 + 19 = 999

Therefore, the sum of 203, 67, and 729 is 999.

Sum 2: 342 + 12583 + 45

To calculate the sum of 342, 12583, and 45, we will first add the thousands place, then the hundreds place, the tens place, and finally the ones place.

  • Thousands Place: 300 + 12000 + 0 = 13200
  • Hundreds Place: 40 + 80 + 0 = 120
  • Tens Place: 2 + 3 + 0 = 5
  • Ones Place: 2 + 3 + 5 = 10

Now, we will combine the results from each place value to get the final answer.

  • 13200 + 120 = 13320
  • 13320 + 5 = 13325
  • 13325 + 10 = 13335

Therefore, the sum of 342, 12583, and 45 is 13335.

Sum 3: 4296 + 99201

To calculate the sum of 4296 and 99201, we will first add the thousands place, then the hundreds place, the tens place, and finally the ones place.

  • Thousands Place: 4000 + 99000 = 139000
  • Hundreds Place: 290 + 20 = 310
  • Tens Place: 0 + 0 = 0
  • Ones Place: 6 + 1 = 7

Now, we will combine the results from each place value to get the final answer.

  • 139000 + 310 = 139310
  • 139310 + 0 = 139310
  • 139310 + 7 = 139317

Therefore, the sum of 4296 and 99201 is 139317.

Sum 4: 405 + 378 + 281

To calculate the sum of 405, 378, and 281, we will first add the hundreds place, then the tens place, and finally the ones place.

  • Hundreds Place: 400 + 300 + 200 = 900
  • Tens Place: 0 + 70 + 80 = 150
  • Ones Place: 5 + 8 + 1 = 14

Now, we will combine the results from each place value to get the final answer.

  • 900 + 150 = 1050
  • 1050 + 14 = 1064

Therefore, the sum of 405, 378, and 281 is 1064.

In this article, we will be answering some frequently asked questions related to calculating sums with multiple digits.

Q: What is the correct order of operations when adding multiple numbers with varying numbers of digits?

A: The correct order of operations when adding multiple numbers with varying numbers of digits is to first add the hundreds place, then the tens place, and finally the ones place.

Q: How do I ensure that I am placing the digits in the correct column?

A: To ensure that you are placing the digits in the correct column, you should start by adding the hundreds place, then the tens place, and finally the ones place. This will help you to avoid making mistakes and ensure that your calculations are accurate.

Q: What if I have a number with more than three digits? How do I handle this?

A: If you have a number with more than three digits, you should break it down into its place values (thousands, hundreds, tens, and ones) and add each place value separately. For example, if you have the number 12345, you would break it down into its place values as follows:

  • Thousands Place: 10000
  • Hundreds Place: 2000
  • Tens Place: 300
  • Ones Place: 45

Then, you would add each place value separately to get the final answer.

Q: What if I make a mistake when adding multiple numbers with varying numbers of digits? How do I correct it?

A: If you make a mistake when adding multiple numbers with varying numbers of digits, you should start by identifying the mistake and then reworking the calculation. You can use a calculator or a pencil and paper to help you double-check your work and ensure that your calculations are accurate.

Q: Are there any tips or tricks for calculating sums with multiple digits?

A: Yes, there are several tips and tricks that can help you to calculate sums with multiple digits more efficiently. Some of these include:

  • Use a calculator: If you have access to a calculator, you can use it to help you calculate sums with multiple digits more quickly and accurately.
  • Break down numbers into place values: Breaking down numbers into their place values (thousands, hundreds, tens, and ones) can help you to add them more easily and accurately.
  • Use a pencil and paper: Writing out your calculations on a piece of paper can help you to double-check your work and ensure that your calculations are accurate.

Q: How can I practice calculating sums with multiple digits?

A: There are several ways that you can practice calculating sums with multiple digits, including:

  • Using online resources: There are many online resources available that can help you to practice calculating sums with multiple digits, including calculators and worksheets.
  • Working with a partner: Working with a partner can help you to stay motivated and engaged as you practice calculating sums with multiple digits.
  • Using real-world examples: Using real-world examples can help you to see the practical application of calculating sums with multiple digits and make the concept more interesting and relevant.

In conclusion, calculating sums with multiple digits can be a challenging task, but with practice and patience, you can become more confident and accurate in your calculations. By following the tips and tricks outlined in this article, you can improve your skills and become more proficient in calculating sums with multiple digits.