Answered

Solve the subtraction problems.



1.		2.3.4.

$\begin{array}{r}539
-232
317\end{array}$$\begin{array}{r}902
-457
\end{array}$$\begin{array}{r}770
-222
\end{array}$$\begin{array}{r}565
-285
\end{array}$

5.		6.7.8.

$\begin{array}{r}952
-502
\end{array}$$\begin{array}{r}824
-561
\end{array}$$\begin{array}{r}977
-321
\end{array}$$\begin{array}{r}659
-265
\end{array}$

\multirow{2}{*}{9.
$\begin{array}{r}
911

-155


\end{array}$}		10.11.12.

$\begin{array}{r}497
-120
\end{array}$$\begin{array}{r}671
-261
\end{array}$$\begin{array}{r}788
-749
\end{array}$

Verified Answer :

  • Perform column-wise subtraction for each of the 11 pairs of 3-digit numbers.
  • Utilize regrouping (borrowing) whenever the top digit is smaller than the bottom digit.
  • The differences are as follows:
  • 2: \(\boxed{445}\), 3: \(\boxed{548}\), 4: \(\boxed{280}\), 5: \(\boxed{450}\), 6: \(\boxed{263}\), 7: \(\boxed{656}\), 8: \(\boxed{394}\), 9: \(\boxed{756}\), 10: \(\boxed{377}\), 11: \(\boxed{410}\), 12: \(\boxed{39}\).

Explanation

  1. Understanding the Subtraction Method

To perform these subtractions, we analyze each problem digit by digit, starting from the units column and moving to the tens and hundreds columns. If a digit in the minuend (the top number) is smaller than the corresponding digit in the subtrahend (the bottom number), we perform regrouping (borrowing) from the next higher place value to ensure each step is valid. We repeat this process for all 11 problems provided (labeled 2 through 12).

  1. Calculating the Differences

We calculate the differences for the given subtraction problems as follows:

  • 2: \(902 - 457 = 445\)
  • 3: \(770 - 222 = 548\)
  • 4: \(565 - 285 = 280\)
  • 5: \(952 - 502 = 450\)
  • 6: \(824 - 561 = 263\)
  • 7: \(977 - 321 = 656\)
  • 8: \(659 - 265 = 394\)
  • 9: \(911 - 155 = 756\)
  • 10: \(497 - 120 = 377\)
  • 11: \(671 - 261 = 410\)
  • 12: \(788 - 749 = 39\)
  1. Conclusion and Final Results

The calculated differences are summarized below for each numbered problem:

  • 2: \(\boxed{445}\)
  • 3: \(\boxed{548}\)
  • 4: \(\boxed{280}\)
  • 5: \(\boxed{450}\)
  • 6: \(\boxed{263}\)
  • 7: \(\boxed{656}\)
  • 8: \(\boxed{394}\)
  • 9: \(\boxed{756}\)
  • 10: \(\boxed{377}\)
  • 11: \(\boxed{410}\)
  • 12: \(\boxed{39}\)

Examples

In daily life, basic subtraction is essential for managing personal finances. For example, if you have a budget of \(\$900\) for a shopping trip and you spend \(\$457\), you can calculate your remaining balance by performing the subtraction \(900 - 457 = 443\). Understanding how to subtract numbers with regrouping helps ensure accuracy when balancing a checkbook, tracking expenses, or shopping for groceries. Proficiency in these fundamental operations builds confidence in handling any financial transaction efficiently.

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