Expressions Equal To 13.99? Find The Correct Answers!

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Hey guys! Let's dive into a fun math problem today. We're going to figure out which of the given expressions actually add up to 13.99. It's like a little puzzle, and who doesn't love a good puzzle? We will meticulously evaluate each option, ensuring we arrive at the correct solutions. Understanding these basic arithmetic operations is crucial for more advanced mathematical concepts. So, let’s get started and break down each expression step by step.

A. 13+0.913 + 0.9

First up, we have option A: 13+0.913 + 0.9. This looks pretty straightforward, right? Let's add these two numbers together. When we add 0.9 to 13, we simply get 13.9. So, 13+0.9=13.913 + 0.9 = 13.9. Now, is 13.9 the same as 13.99? Nope, it’s not! 13.9 is actually 13.90, and that’s less than 13.99. So, we can cross this one off our list. It's essential to pay close attention to decimal places, as they can significantly alter the value of the number. This exercise reinforces the importance of precision in mathematical calculations and highlights how small differences can impact the final result. Remember, every digit matters! Precision is key when dealing with decimals, and this example perfectly illustrates that.

B. 6.25+3.9+3.846.25 + 3.9 + 3.84

Next, let's tackle option B: 6.25+3.9+3.846.25 + 3.9 + 3.84. This one involves adding three numbers, so we need to be a bit more careful. Let’s start by adding 6.25 and 3.9. To do this, we can line up the decimal points and add the numbers column by column. 6. 25 + 3. 90 equals 10.15. Now, we need to add 3.84 to 10.15. So, 10.15 + 3.84. Again, lining up those decimal points, we add the numbers: 10. 15 + 3. 84 equals 13.99. Bingo! We found one. So, option B is definitely equal to 13.99. Adding multiple decimal numbers requires a methodical approach to ensure accuracy. Breaking down the problem into smaller steps, such as adding two numbers at a time, can help prevent errors. This multi-step addition reinforces the concept of carrying over values and aligning decimal points correctly. This method is fundamental in decimal arithmetic and will prove useful in various mathematical scenarios.

C. 4.635+9.3554.635 + 9.355

Now, let’s move on to option C: 4.635+9.3554.635 + 9.355. This one looks interesting because we have three decimal places to deal with. But don't worry, we can handle it! Let's add these numbers together. Again, we line up the decimal points: 4. 635 + 9. 355. Adding these, we get 13.990. Notice the zero at the end? 13.990 is the same as 13.99. So, guess what? Option C is also equal to 13.99! When adding decimals with multiple places, it’s crucial to align the decimal points correctly. This ensures that you're adding tenths to tenths, hundredths to hundredths, and so on. Understanding place value is fundamental to performing accurate decimal calculations. This example reinforces the idea that trailing zeros after the decimal point do not change the value of the number.

D. 8imes5.998 imes 5.99

Let's check out option D: 8÷5.998 \div 5.99. Ah, this one isn't addition, it's division! We need to divide 8 by 5.99. This might seem a bit tricky at first, but let's think about it. Dividing 8 by something close to 6 (since 5.99 is very close to 6) will give us a result that's a little more than 1. To get a more precise answer, we’d actually perform the division, but we can already see that the result won’t be anywhere near 13.99. So, without doing the full calculation, we can confidently say that option D is not equal to 13.99. Estimating the result before performing the full calculation is a valuable strategy in mathematics. It helps you quickly eliminate options and focus on the more likely candidates. Understanding the relationship between division and multiplication can also aid in estimation. In this case, recognizing that the quotient will be much smaller than 13.99 saves time and effort.

E. 10+3.0910 + 3.09

Finally, let’s look at option E: 10+3.0910 + 3.09. This seems simple enough. We just need to add 10 and 3.09. When we do that, we get 13.09. Now, is 13.09 equal to 13.99? Nope, it’s not! 13.09 is less than 13.99. So, we can rule out option E. This example highlights the importance of carefully observing the digits in the numbers you are adding. Even a small difference in the decimal places can lead to a different result. Paying close attention to detail is essential for accurate mathematical calculations. This simple addition problem serves as a reminder to always double-check your work to avoid errors.

Conclusion

Alright guys, we've gone through all the options! We found that options B (6.25+3.9+3.846.25 + 3.9 + 3.84) and C (4.635+9.3554.635 + 9.355) are the expressions that are equal to 13.99. See, math can be fun when you break it down step by step. Remember, always double-check your work, and don't be afraid to take your time. You got this! We have successfully identified the correct expressions by carefully performing the arithmetic operations and comparing the results. This exercise reinforces the importance of accuracy and attention to detail in mathematics. Keep practicing, and you'll become a pro at these types of problems in no time! Practice makes perfect, so keep at it!