Printable worksheet for practicing addition and subtraction of decimal numbers, featuring 12 problems with varying decimal places.
Adding and subtracting decimals worksheet with 12 problems, including numbers with one and two decimal places, designed for math practice.
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheets - Math Monks
Problem: Adding & Subtracting Decimals Worksheet
We are tasked with solving each problem involving addition and subtraction of decimals. Let's solve each problem step by step.
---
#### Problem 1:
$$
90.6 - 28.3
$$
- Align the decimal points:
$$
\begin{array}{r}
90.6 \\
- 28.3 \\
\hline
\end{array}
$$
- Subtract digit by digit:
- In the tenths place: \(6 - 3 = 3\)
- In the ones place: \(0 - 8\) (borrow 1 from the tens place, making it \(10 - 8 = 2\))
- In the tens place: \(8 - 2 = 6\)
- Result:
$$
90.6 - 28.3 = 62.3
$$
#### Problem 2:
$$
93.3 + 29.2
$$
- Align the decimal points:
$$
\begin{array}{r}
93.3 \\
+ 29.2 \\
\hline
\end{array}
$$
- Add digit by digit:
- In the tenths place: \(3 + 2 = 5\)
- In the ones place: \(3 + 9 = 12\) (write down 2 and carry over 1)
- In the tens place: \(9 + 2 + 1 = 12\)
- Result:
$$
93.3 + 29.2 = 122.5
$$
#### Problem 3:
$$
72.3 - 12.9
$$
- Align the decimal points:
$$
\begin{array}{r}
72.3 \\
- 12.9 \\
\hline
\end{array}
$$
- Subtract digit by digit:
- In the tenths place: \(3 - 9\) (borrow 1 from the ones place, making it \(13 - 9 = 4\))
- In the ones place: \(1 - 2\) (borrow 1 from the tens place, making it \(11 - 2 = 9\))
- In the tens place: \(6 - 1 = 6\)
- Result:
$$
72.3 - 12.9 = 59.4
$$
#### Problem 4:
$$
63.44 - 59.688
$$
- Align the decimal points:
$$
\begin{array}{r}
63.440 \\
- 59.688 \\
\hline
\end{array}
$$
- Subtract digit by digit:
- In the thousandths place: \(0 - 8\) (borrow 1 from the hundredths place, making it \(10 - 8 = 2\))
- In the hundredths place: \(3 - 8\) (borrow 1 from the tenths place, making it \(13 - 8 = 5\))
- In the tenths place: \(3 - 6\) (borrow 1 from the ones place, making it \(13 - 6 = 7\))
- In the ones place: \(2 - 9\) (borrow 1 from the tens place, making it \(12 - 9 = 3\))
- In the tens place: \(5 - 5 = 0\)
- Result:
$$
63.44 - 59.688 = 3.752
$$
#### Problem 5:
$$
90.0 + 83.3
$$
- Align the decimal points:
$$
\begin{array}{r}
90.0 \\
+ 83.3 \\
\hline
\end{array}
$$
- Add digit by digit:
- In the tenths place: \(0 + 3 = 3\)
- In the ones place: \(0 + 3 = 3\)
- In the tens place: \(9 + 8 = 17\)
- Result:
$$
90.0 + 83.3 = 173.3
$$
#### Problem 6:
$$
54.3 + 18.8
$$
- Align the decimal points:
$$
\begin{array}{r}
54.3 \\
+ 18.8 \\
\hline
\end{array}
$$
- Add digit by digit:
- In the tenths place: \(3 + 8 = 11\) (write down 1 and carry over 1)
- In the ones place: \(4 + 8 + 1 = 13\) (write down 3 and carry over 1)
- In the tens place: \(5 + 1 + 1 = 7\)
- Result:
$$
54.3 + 18.8 = 73.1
$$
#### Problem 7:
$$
99.3 - 88.1
$$
- Align the decimal points:
$$
\begin{array}{r}
99.3 \\
- 88.1 \\
\hline
\end{array}
$$
- Subtract digit by digit:
- In the tenths place: \(3 - 1 = 2\)
- In the ones place: \(9 - 8 = 1\)
- In the tens place: \(9 - 8 = 1\)
- Result:
$$
99.3 - 88.1 = 11.2
$$
#### Problem 8:
$$
5.37 + 2.84
$$
- Align the decimal points:
$$
\begin{array}{r}
5.37 \\
+ 2.84 \\
\hline
\end{array}
$$
- Add digit by digit:
- In the hundredths place: \(7 + 4 = 11\) (write down 1 and carry over 1)
- In the tenths place: \(3 + 8 + 1 = 12\) (write down 2 and carry over 1)
- In the ones place: \(5 + 2 + 1 = 8\)
- Result:
$$
5.37 + 2.84 = 8.21
$$
#### Problem 9:
$$
0.52 + 8.33
$$
- Align the decimal points:
$$
\begin{array}{r}
0.52 \\
+ 8.33 \\
\hline
\end{array}
$$
- Add digit by digit:
- In the hundredths place: \(2 + 3 = 5\)
- In the tenths place: \(5 + 3 = 8\)
- In the ones place: \(0 + 8 = 8\)
- Result:
$$
0.52 + 8.33 = 8.85
$$
#### Problem 10:
$$
3.76 - 1.91
$$
- Align the decimal points:
$$
\begin{array}{r}
3.76 \\
- 1.91 \\
\hline
\end{array}
$$
- Subtract digit by digit:
- In the hundredths place: \(6 - 1 = 5\)
- In the tenths place: \(7 - 9\) (borrow 1 from the ones place, making it \(17 - 9 = 8\))
- In the ones place: \(2 - 1 = 1\)
- Result:
$$
3.76 - 1.91 = 1.85
$$
#### Problem 11:
$$
2.00 - 0.17
$$
- Align the decimal points:
$$
\begin{array}{r}
2.00 \\
- 0.17 \\
\hline
\end{array}
$$
- Subtract digit by digit:
- In the hundredths place: \(0 - 7\) (borrow 1 from the tenths place, making it \(10 - 7 = 3\))
- In the tenths place: \(9 - 1 = 8\) (after borrowing)
- In the ones place: \(1 - 0 = 1\)
- Result:
$$
2.00 - 0.17 = 1.83
$$
#### Problem 12:
$$
5.24 + 3.32
$$
- Align the decimal points:
$$
\begin{array}{r}
5.24 \\
+ 3.32 \\
\hline
\end{array}
$$
- Add digit by digit:
- In the hundredths place: \(4 + 2 = 6\)
- In the tenths place: \(2 + 3 = 5\)
- In the ones place: \(5 + 3 = 8\)
- Result:
$$
5.24 + 3.32 = 8.56
$$
---
Final Answers:
$$
\boxed{
\begin{array}{ll}
1. & 62.3 \\
2. & 122.5 \\
3. & 59.4 \\
4. & 3.752 \\
5. & 173.3 \\
6. & 73.1 \\
7. & 11.2 \\
8. & 8.21 \\
9. & 8.85 \\
10. & 1.85 \\
11. & 1.83 \\
12. & 8.56 \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting positive and negative decimals worksheet.