Answered

Find the sums and differences:



$\begin{array}{r} 789 \\ +632 \\ \hline 1421 \end{array}$



$\begin{array}{l} 645 \\ 238 \\ \hline 803 \end{array}$



$\begin{array}{c} 890 \\ 746 \\ \hline 1636 \end{array}$



$\begin{array}{r} 415 \\ +\quad 332 \\ \hline 747 \end{array}$



$\begin{array}{r} 533 \\ -\quad 272 \\ \hline \end{array}$



$\begin{array}{r} 591 \\ -408 \\ \hline 19,2 \end{array}$



$\begin{array}{r} 937 \\ -\quad 681 \\ \hline \end{array}$



$\begin{array}{r} 540 \\ -\quad 348 \\ \hline \end{array}$



$\begin{array}{r} 987 \\ -789 \\ \hline \end{array}$

Verified Answer :

  • Align the numbers vertically by place value: hundreds, tens, and units.
  • Perform subtractions column by column from right to left (units to hundreds).
  • Use regrouping ("borrowing") whenever the digit in the top number is smaller than the corresponding digit in the bottom number.
  • The results are: \(533 - 272 = \boxed{261}\), \(591 - 408 = \boxed{183}\), \(937 - 681 = \boxed{256}\), \(540 - 348 = \boxed{192}\), and \(987 - 789 = \boxed{198}\).

Explanation

  1. Understanding the Subtraction Process

We need to compute the results of several subtraction problems involving 3-digit numbers. Subtraction is a fundamental operation where we remove one quantity from another. We will align these numbers by their place values (hundreds, tens, and units) and subtract column by column, starting from the units place. If the digit in the minuend (the top number) is smaller than the digit in the subtrahend (the bottom number) for a specific column, we will regroup by "borrowing" 1 from the next higher place value.

  1. Performing the Calculations

We now perform each calculation individually.

  1. 533 - 272:
  • Units: \(3 - 2 = 1\).
  • Tens: Since \(3 < 7\), borrow 1 from the hundreds. \(13 - 7 = 6\).
  • Hundreds: The original 5 became 4. \(4 - 2 = 2\).
  • The result is \(261\).
  1. 591 - 408:
  • Units: Since \(1 < 8\), borrow from the tens. \(11 - 8 = 3\).
  • Tens: The 9 became 8. \(8 - 0 = 8\).
  • Hundreds: \(5 - 4 = 1\).
  • The result is \(183\).
  1. 937 - 681:
  • Units: \(7 - 1 = 6\).
  • Tens: Since \(3 < 8\), borrow from the hundreds. \(13 - 8 = 5\).
  • Hundreds: The 9 became 8. \(8 - 6 = 2\).
  • The result is \(256\).
  1. 540 - 348:
  • Units: Since \(0 < 8\), borrow from the tens. \(10 - 8 = 2\).
  • Tens: The 4 became 3. Since \(3 < 4\), borrow from the hundreds. \(13 - 4 = 9\).
  • Hundreds: The 5 became 4. \(4 - 3 = 1\).
  • The result is \(192\).
  1. 987 - 789:
  • Units: Since \(7 < 9\), borrow from the tens. \(17 - 9 = 8\).
  • Tens: The 8 became 7. Since \(7 < 8\), borrow from the hundreds. \(17 - 8 = 9\).
  • Hundreds: The 9 became 8. \(8 - 7 = 1\).
  • The result is \(198\).
  1. Final Results Summary

We have systematically computed each of the five requested subtractions.
The results are:

  • \(533 - 272 = 261\)
  • \(591 - 408 = 183\)
  • \(937 - 681 = 256\)
  • \(540 - 348 = 192\)
  • \(987 - 789 = 198\)

Examples

Subtraction is a daily essential skill. For example, if you have a budget of \(\$533\) to buy groceries and you spend \(\$272\), calculating how much money you have left is a simple subtraction: \(\$533 - \$272 = \$261\). Whether you are managing your allowance, tracking the number of pages left in a book, or determining the difference in scores between two teams, mastering these subtraction steps helps you handle everyday numerical challenges with confidence!

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