Printable math worksheet for practicing subtraction of decimals to the hundredths place.
Worksheet titled "Subtracting Decimals Hundredths" with 16 subtraction problems involving decimal numbers, each with a lettered option (A-R) for answers.
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting Decimals - Hundredths | Decimal Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting Decimals - Hundredths | Decimal Worksheets
Problem Overview:
The task involves subtracting decimals to the hundredths place. Each problem is presented in a vertical format, and we need to solve each subtraction problem step by step.
General Approach:
1. Align the decimal points: Ensure that the decimal points of both numbers are aligned vertically.
2. Subtract as usual: Perform the subtraction column by column, starting from the rightmost digit (hundredths place) and moving left.
3. Borrow if necessary: If the top digit is smaller than the bottom digit in any column, borrow from the next higher place value.
4. Write the result: Ensure the decimal point is correctly placed in the answer.
Let's Solve Each Problem:
#### Problem A:
$$
6.75 - 2.52
$$
- Align the decimal points:
$$
\begin{array}{r}
6.75 \\
- 2.52 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(5 - 2 = 3\)
- Tenths: \(7 - 5 = 2\)
- Ones: \(6 - 2 = 4\)
- Result:
$$
\boxed{4.23}
$$
#### Problem B:
$$
25.84 - 11.81
$$
- Align the decimal points:
$$
\begin{array}{r}
25.84 \\
- 11.81 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(4 - 1 = 3\)
- Tenths: \(8 - 8 = 0\)
- Ones: \(5 - 1 = 4\)
- Tens: \(2 - 1 = 1\)
- Result:
$$
\boxed{14.03}
$$
#### Problem C:
$$
48.97 - 23.64
$$
- Align the decimal points:
$$
\begin{array}{r}
48.97 \\
- 23.64 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(7 - 4 = 3\)
- Tenths: \(9 - 6 = 3\)
- Ones: \(8 - 3 = 5\)
- Tens: \(4 - 2 = 2\)
- Result:
$$
\boxed{25.33}
$$
#### Problem D:
$$
37.42 - 16.18
$$
- Align the decimal points:
$$
\begin{array}{r}
37.42 \\
- 16.18 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(2 - 8\) (borrow from tenths): \(12 - 8 = 4\)
- Tenths: \(3 - 1 = 2\) (after borrowing)
- Ones: \(6 - 6 = 0\) (after borrowing)
- Tens: \(3 - 1 = 2\)
- Result:
$$
\boxed{21.24}
$$
#### Problem E:
$$
46.25 - 23.17
$$
- Align the decimal points:
$$
\begin{array}{r}
46.25 \\
- 23.17 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(5 - 7\) (borrow from tenths): \(15 - 7 = 8\)
- Tenths: \(1 - 1 = 0\) (after borrowing)
- Ones: \(5 - 3 = 2\) (after borrowing)
- Tens: \(4 - 2 = 2\)
- Result:
$$
\boxed{23.08}
$$
#### Problem F:
$$
65.43 - 36.24
$$
- Align the decimal points:
$$
\begin{array}{r}
65.43 \\
- 36.24 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(3 - 4\) (borrow from tenths): \(13 - 4 = 9\)
- Tenths: \(3 - 2 = 1\) (after borrowing)
- Ones: \(4 - 6\) (borrow from tens): \(14 - 6 = 8\)
- Tens: \(5 - 3 = 2\) (after borrowing)
- Result:
$$
\boxed{29.19}
$$
#### Problem G:
$$
84.67 - 36.25
$$
- Align the decimal points:
$$
\begin{array}{r}
84.67 \\
- 36.25 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(7 - 5 = 2\)
- Tenths: \(6 - 2 = 4\)
- Ones: \(4 - 6\) (borrow from tens): \(14 - 6 = 8\)
- Tens: \(7 - 3 = 4\) (after borrowing)
- Result:
$$
\boxed{48.42}
$$
#### Problem H:
$$
72.39 - 40.63
$$
- Align the decimal points:
$$
\begin{array}{r}
72.39 \\
- 40.63 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(9 - 3 = 6\)
- Tenths: \(3 - 6\) (borrow from ones): \(13 - 6 = 7\)
- Ones: \(1 - 0 = 1\) (after borrowing)
- Tens: \(6 - 4 = 2\) (after borrowing)
- Result:
$$
\boxed{31.76}
$$
#### Problem I:
$$
85.63 - 51.02
$$
- Align the decimal points:
$$
\begin{array}{r}
85.63 \\
- 51.02 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(3 - 2 = 1\)
- Tenths: \(6 - 0 = 6\)
- Ones: \(5 - 1 = 4\)
- Tens: \(8 - 5 = 3\)
- Result:
$$
\boxed{34.61}
$$
#### Problem J:
$$
53.09 - 22.52
$$
- Align the decimal points:
$$
\begin{array}{r}
53.09 \\
- 22.52 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(9 - 2 = 7\)
- Tenths: \(0 - 5\) (borrow from ones): \(10 - 5 = 5\)
- Ones: \(2 - 2 = 0\) (after borrowing)
- Tens: \(4 - 2 = 2\) (after borrowing)
- Result:
$$
\boxed{30.57}
$$
#### Problem K:
$$
64.43 - 43.08
$$
- Align the decimal points:
$$
\begin{array}{r}
64.43 \\
- 43.08 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(3 - 8\) (borrow from tenths): \(13 - 8 = 5\)
- Tenths: \(3 - 0 = 3\) (after borrowing)
- Ones: \(4 - 3 = 1\)
- Tens: \(6 - 4 = 2\)
- Result:
$$
\boxed{21.35}
$$
#### Problem L:
$$
96.05 - 32.37
$$
- Align the decimal points:
$$
\begin{array}{r}
96.05 \\
- 32.37 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(5 - 7\) (borrow from tenths): \(15 - 7 = 8\)
- Tenths: \(0 - 3\) (borrow from ones): \(10 - 3 = 7\) (after borrowing)
- Ones: \(5 - 2 = 3\) (after borrowing)
- Tens: \(8 - 3 = 5\) (after borrowing)
- Result:
$$
\boxed{63.68}
$$
#### Problem M:
$$
76.35 - 57.16
$$
- Align the decimal points:
$$
\begin{array}{r}
76.35 \\
- 57.16 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(5 - 6\) (borrow from tenths): \(15 - 6 = 9\)
- Tenths: \(2 - 1 = 1\) (after borrowing)
- Ones: \(5 - 7\) (borrow from tens): \(15 - 7 = 8\)
- Tens: \(6 - 5 = 1\) (after borrowing)
- Result:
$$
\boxed{19.19}
$$
#### Problem N:
$$
38.46 - 6.79
$$
- Align the decimal points:
$$
\begin{array}{r}
38.46 \\
- \phantom{0}6.79 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(6 - 9\) (borrow from tenths): \(16 - 9 = 7\)
- Tenths: \(3 - 7\) (borrow from ones): \(13 - 7 = 6\) (after borrowing)
- Ones: \(7 - 6 = 1\) (after borrowing)
- Tens: \(3 - 0 = 3\)
- Result:
$$
\boxed{31.67}
$$
#### Problem O:
$$
42.81 - 37.54
$$
- Align the decimal points:
$$
\begin{array}{r}
42.81 \\
- 37.54 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(1 - 4\) (borrow from tenths): \(11 - 4 = 7\)
- Tenths: \(7 - 5 = 2\) (after borrowing)
- Ones: \(1 - 7\) (borrow from tens): \(11 - 7 = 4\) (after borrowing)
- Tens: \(3 - 3 = 0\) (after borrowing)
- Result:
$$
\boxed{5.27}
$$
#### Problem P:
$$
56.00 - 35.26
$$
- Align the decimal points:
$$
\begin{array}{r}
56.00 \\
- 35.26 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(0 - 6\) (borrow from tenths): \(10 - 6 = 4\)
- Tenths: \(9 - 2 = 7\) (after borrowing)
- Ones: \(5 - 5 = 0\) (after borrowing)
- Tens: \(5 - 3 = 2\)
- Result:
$$
\boxed{20.74}
$$
#### Problem Q:
$$
24.35 - 14.36
$$
- Align the decimal points:
$$
\begin{array}{r}
24.35 \\
- 14.36 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(5 - 6\) (borrow from tenths): \(15 - 6 = 9\)
- Tenths: \(2 - 3\) (borrow from ones): \(12 - 3 = 9\) (after borrowing)
- Ones: \(3 - 4\) (borrow from tens): \(13 - 4 = 9\) (after borrowing)
- Tens: \(1 - 1 = 0\) (after borrowing)
- Result:
$$
\boxed{9.99}
$$
#### Problem R:
$$
95.64 - 36.87
$$
- Align the decimal points:
$$
\begin{array}{r}
95.64 \\
- 36.87 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(4 - 7\) (borrow from tenths): \(14 - 7 = 7\)
- Tenths: \(5 - 8\) (borrow from ones): \(15 - 8 = 7\) (after borrowing)
- Ones: \(4 - 6\) (borrow from tens): \(14 - 6 = 8\) (after borrowing)
- Tens: \(8 - 3 = 5\) (after borrowing)
- Result:
$$
\boxed{58.77}
$$
#### Problem S:
$$
60.30 - 18.92
$$
- Align the decimal points:
$$
\begin{array}{r}
60.30 \\
- 18.92 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(0 - 2\) (borrow from tenths): \(10 - 2 = 8\)
- Tenths: \(2 - 9\) (borrow from ones): \(12 - 9 = 3\) (after borrowing)
- Ones: \(9 - 8 = 1\) (after borrowing)
- Tens: \(5 - 1 = 4\) (after borrowing)
- Result:
$$
\boxed{41.38}
$$
#### Problem T:
$$
87.63 - 45.63
$$
- Align the decimal points:
$$
\begin{array}{r}
87.63 \\
- 45.63 \\
\hline
\end{array}
$$
- Subtract column by column:
- Hundredths: \(3 - 3 = 0\)
- Tenths: \(6 - 6 = 0\)
- Ones: \(7 - 5 = 2\)
- Tens: \(8 - 4 = 4\)
- Result:
$$
\boxed{42.00}
$$
Final Answer:
$$
\boxed{4.23, 14.03, 25.33, 21.24, 23.08, 29.19, 48.42, 31.76, 34.61, 30.57, 21.35, 63.68, 19.19, 31.67, 5.27, 20.74, 9.99, 58.77, 41.38, 42.00}
$$
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting decimals worksheet 6th grade.