Subtract: 23.837 − 4.77 23.837 - 4.77 23.837 − 4.77 A. 23.360 B. 19.067 C. 19.063 D. 233.60 E. None Of The Above.
Understanding the Problem
When dealing with subtraction problems involving decimal numbers, it's essential to follow the correct order of operations and to line up the decimal points correctly. In this problem, we are asked to subtract 4.77 from 23.837.
Step 1: Line Up the Decimal Points
To perform the subtraction, we need to line up the decimal points in both numbers. The first number, 23.837, has three digits after the decimal point, and the second number, 4.77, also has two digits after the decimal point. We can add a zero to the end of the second number to make it 4.770, so that both numbers have the same number of digits after the decimal point.
Step 2: Subtract the Numbers
Now that the decimal points are lined up, we can perform the subtraction. We start by subtracting the rightmost digits, which are 7 and 7. Since 7 is greater than 7, we borrow 1 from the next digit, which is 3. This makes the next digit 2. Now we can subtract 7 from 7, which gives us 0. We write down 0 and carry over the 1 that we borrowed.
Step 3: Continue Subtracting
Next, we subtract the next digits, which are 3 and 7. We have already borrowed 1 from the next digit, so we have 2 instead of 3. We can subtract 7 from 2, which gives us -5. We write down -5.
Step 4: Finalize the Subtraction
Now we have subtracted all the digits, and we have the final result. We have -5 as the first digit after the decimal point, and 0 as the second digit after the decimal point. We can write the final result as -5.0.
Step 5: Check the Answer Choices
Now that we have the final result, we can check the answer choices to see which one matches our result. The answer choices are A. 23.360, B. 19.067, C. 19.063, D. 233.60, and E. None of the above.
Conclusion
Based on our calculation, the correct answer is not among the options listed. The correct answer is -5.0, which is not among the options listed. Therefore, the correct answer is E. None of the above.
Answer Key
The correct answer is E. None of the above.
Explanation
The correct answer is -5.0, which is not among the options listed. This is because the problem requires us to subtract 4.77 from 23.837, which results in a negative number. The options listed are all positive numbers, so none of them match the correct answer.
Tips and Tricks
When dealing with subtraction problems involving decimal numbers, it's essential to follow the correct order of operations and to line up the decimal points correctly. It's also important to check the answer choices to see which one matches the correct answer.
Practice Problems
Try solving the following problem: Subtract 3.45 from 6.78. What is the result?
Solution
To solve this problem, we need to line up the decimal points in both numbers. We can add a zero to the end of the first number to make it 6.780, so that both numbers have the same number of digits after the decimal point. Now we can perform the subtraction. We start by subtracting the rightmost digits, which are 5 and 5. Since 5 is greater than 5, we borrow 1 from the next digit, which is 6. This makes the next digit 5. Now we can subtract 5 from 5, which gives us 0. We write down 0 and carry over the 1 that we borrowed. Next, we subtract the next digits, which are 4 and 8. We have already borrowed 1 from the next digit, so we have 5 instead of 6. We can subtract 8 from 5, which gives us -3. We write down -3. Now we have subtracted all the digits, and we have the final result. We have -3 as the first digit after the decimal point, and 0 as the second digit after the decimal point. We can write the final result as -3.0.
Conclusion
Based on our calculation, the correct answer is -3.0.
Frequently Asked Questions
Q: What is the correct order of operations when dealing with subtraction problems involving decimal numbers?
A: The correct order of operations is to line up the decimal points in both numbers and then perform the subtraction.
Q: How do I line up the decimal points in both numbers?
A: To line up the decimal points, you can add zeros to the end of the number with fewer digits after the decimal point, so that both numbers have the same number of digits after the decimal point.
Q: What if I have a negative number in the problem?
A: If you have a negative number in the problem, you can simply subtract the absolute value of the negative number from the other number.
Q: Can I use a calculator to solve subtraction problems involving decimal numbers?
A: Yes, you can use a calculator to solve subtraction problems involving decimal numbers. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I get a different answer than the one listed in the answer choices?
A: If you get a different answer than the one listed in the answer choices, it's possible that the answer choices are incorrect or that you made a mistake in your calculation. In this case, you should recheck your work and make sure that you performed the calculation correctly.
Q: Can I use a calculator to check my work?
A: Yes, you can use a calculator to check your work. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to solve a subtraction problem involving decimal numbers?
A: If you're not sure how to solve a subtraction problem involving decimal numbers, you can try breaking down the problem into smaller steps or asking for help from a teacher or tutor.
Q: Can I use a calculator to solve complex subtraction problems involving decimal numbers?
A: Yes, you can use a calculator to solve complex subtraction problems involving decimal numbers. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I make a mistake in my calculation?
A: If you make a mistake in your calculation, you can try rechecking your work or asking for help from a teacher or tutor.
Q: Can I use a calculator to check my work on a complex subtraction problem involving decimal numbers?
A: Yes, you can use a calculator to check your work on a complex subtraction problem involving decimal numbers. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to use a calculator to solve a subtraction problem involving decimal numbers?
A: If you're not sure how to use a calculator to solve a subtraction problem involving decimal numbers, you can try reading the calculator's manual or asking for help from a teacher or tutor.
Q: Can I use a calculator to solve subtraction problems involving decimal numbers with multiple digits?
A: Yes, you can use a calculator to solve subtraction problems involving decimal numbers with multiple digits. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I get a different answer than the one listed in the answer choices on a complex subtraction problem involving decimal numbers?
A: If you get a different answer than the one listed in the answer choices on a complex subtraction problem involving decimal numbers, it's possible that the answer choices are incorrect or that you made a mistake in your calculation. In this case, you should recheck your work and make sure that you performed the calculation correctly.
Q: Can I use a calculator to check my work on a subtraction problem involving decimal numbers with multiple digits?
A: Yes, you can use a calculator to check your work on a subtraction problem involving decimal numbers with multiple digits. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to use a calculator to solve a subtraction problem involving decimal numbers with multiple digits?
A: If you're not sure how to use a calculator to solve a subtraction problem involving decimal numbers with multiple digits, you can try reading the calculator's manual or asking for help from a teacher or tutor.
Q: Can I use a calculator to solve subtraction problems involving decimal numbers with negative numbers?
A: Yes, you can use a calculator to solve subtraction problems involving decimal numbers with negative numbers. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with negative numbers?
A: If you get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with negative numbers, it's possible that the answer choices are incorrect or that you made a mistake in your calculation. In this case, you should recheck your work and make sure that you performed the calculation correctly.
Q: Can I use a calculator to check my work on a subtraction problem involving decimal numbers with negative numbers?
A: Yes, you can use a calculator to check your work on a subtraction problem involving decimal numbers with negative numbers. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to use a calculator to solve a subtraction problem involving decimal numbers with negative numbers?
A: If you're not sure how to use a calculator to solve a subtraction problem involving decimal numbers with negative numbers, you can try reading the calculator's manual or asking for help from a teacher or tutor.
Q: Can I use a calculator to solve subtraction problems involving decimal numbers with fractions?
A: Yes, you can use a calculator to solve subtraction problems involving decimal numbers with fractions. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with fractions?
A: If you get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with fractions, it's possible that the answer choices are incorrect or that you made a mistake in your calculation. In this case, you should recheck your work and make sure that you performed the calculation correctly.
Q: Can I use a calculator to check my work on a subtraction problem involving decimal numbers with fractions?
A: Yes, you can use a calculator to check your work on a subtraction problem involving decimal numbers with fractions. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to use a calculator to solve a subtraction problem involving decimal numbers with fractions?
A: If you're not sure how to use a calculator to solve a subtraction problem involving decimal numbers with fractions, you can try reading the calculator's manual or asking for help from a teacher or tutor.
Q: Can I use a calculator to solve subtraction problems involving decimal numbers with exponents?
A: Yes, you can use a calculator to solve subtraction problems involving decimal numbers with exponents. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with exponents?
A: If you get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with exponents, it's possible that the answer choices are incorrect or that you made a mistake in your calculation. In this case, you should recheck your work and make sure that you performed the calculation correctly.
Q: Can I use a calculator to check my work on a subtraction problem involving decimal numbers with exponents?
A: Yes, you can use a calculator to check your work on a subtraction problem involving decimal numbers with exponents. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to use a calculator to solve a subtraction problem involving decimal numbers with exponents?
A: If you're not sure how to use a calculator to solve a subtraction problem involving decimal numbers with exponents, you can try reading the calculator's manual or asking for help from a teacher or tutor.
Q: Can I use a calculator to solve subtraction problems involving decimal numbers with roots?
A: Yes, you can use a calculator to solve subtraction problems involving decimal numbers with roots. However, it's always a good idea to double-check your work by performing the calculation manually.
Q: What if I get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with roots?
A: If you get a different answer than the one listed in the answer choices on a subtraction problem involving decimal numbers with roots, it's possible that the answer choices are incorrect or that you made a mistake in your calculation. In this case, you should recheck your work and make sure that you performed the calculation correctly.
Q: Can I use a calculator to check my work on a subtraction problem involving decimal numbers with roots?
A: Yes, you can use a calculator to check your work on a subtraction problem involving decimal numbers with roots. Simply enter the numbers into the calculator and perform the calculation to see if you get the same answer.
Q: What if I'm not sure how to use a calculator to solve a subtraction problem involving decimal numbers with roots?
A: If you're not sure how to use a calculator to solve a subtraction problem involving decimal numbers with roots, you can try reading the calculator's manual or asking for help from a teacher or tutor.