Question
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5) \( \begin{array}{r}51 \\ -35 \\ \hline\end{array} \) (7) \( \begin{array}{r}8 \\ -\quad 35 \\ \hline\end{array} \) 9) \( \begin{array}{r}863 \\ -175 \\ \hline\end{array} \) (10) \( \begin{array}{r}283 \\ -176 \\ \hline\end{array} \)

Ask by Wagner Logan. in India
Jan 10,2025

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Tutor-Verified Answer

Answer

**Problem 5:** 51 - 35 = 16 **Answer:** 16 **Problem 7:** 8 - 35 = -27 **Answer:** -27 **Problem 9:** 863 - 175 = 688 **Answer:** 688 **Problem 10:** 283 - 176 = 107 **Answer:** 107

Solution

Sure, let's solve each of the subtraction problems you've listed: --- ### **Problem 5** \[ \begin{array}{r} 51 \\ -35 \\ \hline \end{array} \] **Solution:** \[ 51 - 35 = 16 \] **Answer:** **16** --- ### **Problem 7** \[ \begin{array}{r} 8 \\ -35 \\ \hline \end{array} \] **Solution:** When subtracting a larger number from a smaller one, the result will be negative. \[ 8 - 35 = -27 \] **Answer:** **-27** --- ### **Problem 9** \[ \begin{array}{r} 863 \\ -175 \\ \hline \end{array} \] **Solution:** Let's subtract step by step: \[ \begin{array}{r} \phantom{8}863 \\ -175 \\ \hline \end{array} \] 1. **Units place:** \(3 - 5\) Since 3 is less than 5, borrow 1 from the tens place: \[ 13 - 5 = 8 \] 2. **Tens place:** \(5 - 7\) (after borrowing) Again, 5 is less than 7, so borrow 1 from the hundreds place: \[ 15 - 7 = 8 \] 3. **Hundreds place:** \(7 - 1 = 6\) So, the result is: \[ \begin{array}{r} 688 \\ \end{array} \] **Answer:** **688** --- ### **Problem 10** \[ \begin{array}{r} 283 \\ -176 \\ \hline \end{array} \] **Solution:** Let's subtract step by step: \[ \begin{array}{r} \phantom{2}283 \\ -176 \\ \hline \end{array} \] 1. **Units place:** \(3 - 6\) Since 3 is less than 6, borrow 1 from the tens place: \[ 13 - 6 = 7 \] 2. **Tens place:** \(7 - 7 = 0\) (after borrowing) 3. **Hundreds place:** \(2 - 1 = 1\) So, the result is: \[ \begin{array}{r} 107 \\ \end{array} \] **Answer:** **107** --- If you need further explanations or assistance with other problems, feel free to ask!

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The Deep Dive

When performing subtraction with vertical alignment, always ensure that the digits are correctly lined up according to their place values: units under units, tens under tens, and so on. Start subtracting from the rightmost column, borrowing from the next column on the left if necessary—this is crucial for accuracy and prevents errors! Many people make the mistake of forgetting to borrow when dealing with numbers that require it. For instance, in a case where the top digit is smaller than the bottom digit, borrowing from the next column is essential. Additionally, double-checking each subtraction step helps catch any small errors before finalizing the answer, making the entire process smoother and more reliable!

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