Adding and subtracting decimals worksheet with practice problems and a playful monkey design.

Problem: Solving the Adding and Subtracting Decimals Worksheet

The worksheet consists of two sections:
1. Adding Decimals
2. Subtracting Decimals

We will solve each problem step by step.

---

Section 1: Adding Decimals

#### Problem 1:
$$
28.32 + 9.13
$$
- Align the decimal points:
$$
\begin{array}{r}
28.32 \\
+ 9.13 \\
\hline
\end{array}
$$
- Add column by column from right to left:
- Hundredths place: \(2 + 3 = 5\)
- Tenths place: \(3 + 1 = 4\)
- Ones place: \(8 + 9 = 17\) (write down 7, carry over 1)
- Tens place: \(2 + 0 + 1 (\text{carry}) = 3\)

$$
\begin{array}{r}
28.32 \\
+ 9.13 \\
\hline
37.45 \\
\end{array}
$$

Answer:
$$
\boxed{37.45}
$$

#### Problem 2:
$$
13.14 + 28.36
$$
- Align the decimal points:
$$
\begin{array}{r}
13.14 \\
+ 28.36 \\
\hline
\end{array}
$$
- Add column by column from right to left:
- Hundredths place: \(4 + 6 = 10\) (write down 0, carry over 1)
- Tenths place: \(1 + 3 + 1 (\text{carry}) = 5\)
- Ones place: \(3 + 8 = 11\) (write down 1, carry over 1)
- Tens place: \(1 + 2 + 1 (\text{carry}) = 4\)

$$
\begin{array}{r}
13.14 \\
+ 28.36 \\
\hline
41.50 \\
\end{array}
$$

Answer:
$$
\boxed{41.50}
$$

#### Problem 3:
$$
163.741 + 243.002
$$
- Align the decimal points:
$$
\begin{array}{r}
163.741 \\
+ 243.002 \\
\hline
\end{array}
$$
- Add column by column from right to left:
- Thousandths place: \(1 + 2 = 3\)
- Hundredths place: \(4 + 0 = 4\)
- Tenths place: \(7 + 0 = 7\)
- Ones place: \(3 + 3 = 6\)
- Tens place: \(6 + 4 = 10\) (write down 0, carry over 1)
- Hundreds place: \(1 + 2 + 1 (\text{carry}) = 4\)

$$
\begin{array}{r}
163.741 \\
+ 243.002 \\
\hline
406.743 \\
\end{array}
$$

Answer:
$$
\boxed{406.743}
$$

#### Problem 4:
$$
86.93 + 74.12
$$
- Align the decimal points:
$$
\begin{array}{r}
86.93 \\
+ 74.12 \\
\hline
\end{array}
$$
- Add column by column from right to left:
- Hundredths place: \(3 + 2 = 5\)
- Tenths place: \(9 + 1 = 10\) (write down 0, carry over 1)
- Ones place: \(6 + 4 + 1 (\text{carry}) = 11\) (write down 1, carry over 1)
- Tens place: \(8 + 7 + 1 (\text{carry}) = 16\) (write down 6, carry over 1)
- Hundreds place: \(0 + 0 + 1 (\text{carry}) = 1\)

$$
\begin{array}{r}
86.93 \\
+ 74.12 \\
\hline
161.05 \\
\end{array}
$$

Answer:
$$
\boxed{161.05}
$$

#### Problem 5:
$$
11.19 + 0.88
$$
- Align the decimal points:
$$
\begin{array}{r}
11.19 \\
+ 0.88 \\
\hline
\end{array}
$$
- Add column by column from right to left:
- Hundredths place: \(9 + 8 = 17\) (write down 7, carry over 1)
- Tenths place: \(1 + 8 + 1 (\text{carry}) = 10\) (write down 0, carry over 1)
- Ones place: \(1 + 0 + 1 (\text{carry}) = 2\)
- Tens place: \(1 + 0 = 1\)

$$
\begin{array}{r}
11.19 \\
+ 0.88 \\
\hline
12.07 \\
\end{array}
$$

Answer:
$$
\boxed{12.07}
$$

---

Section 2: Subtracting Decimals

#### Problem 1:
$$
100.81 - 3.92
$$
- Align the decimal points:
$$
\begin{array}{r}
100.81 \\
- 3.92 \\
\hline
\end{array}
$$
- Subtract column by column from right to left:
- Hundredths place: \(1 - 2\) (borrow 1 from tenths place, making it \(11 - 2 = 9\))
- Tenths place: \(7 (\text{after borrowing}) - 9\) (borrow 1 from ones place, making it \(17 - 9 = 8\))
- Ones place: \(0 (\text{after borrowing}) - 3\) (borrow 1 from tens place, making it \(10 - 3 = 7\))
- Tens place: \(9 (\text{after borrowing}) - 0 = 9\)

$$
\begin{array}{r}
100.81 \\
- 3.92 \\
\hline
96.89 \\
\end{array}
$$

Answer:
$$
\boxed{96.89}
$$

#### Problem 2:
$$
99.23 - 19.09
$$
- Align the decimal points:
$$
\begin{array}{r}
99.23 \\
- 19.09 \\
\hline
\end{array}
$$
- Subtract column by column from right to left:
- Hundredths place: \(3 - 9\) (borrow 1 from tenths place, making it \(13 - 9 = 4\))
- Tenths place: \(1 (\text{after borrowing}) - 0 = 1\)
- Ones place: \(9 - 9 = 0\)
- Tens place: \(9 - 1 = 8\)

$$
\begin{array}{r}
99.23 \\
- 19.09 \\
\hline
80.14 \\
\end{array}
$$

Answer:
$$
\boxed{80.14}
$$

#### Problem 3:
$$
62.97 - 59.13
$$
- Align the decimal points:
$$
\begin{array}{r}
62.97 \\
- 59.13 \\
\hline
\end{array}
$$
- Subtract column by column from right to left:
- Hundredths place: \(7 - 3 = 4\)
- Tenths place: \(9 - 1 = 8\)
- Ones place: \(2 - 9\) (borrow 1 from tens place, making it \(12 - 9 = 3\))
- Tens place: \(5 (\text{after borrowing}) - 5 = 0\)

$$
\begin{array}{r}
62.97 \\
- 59.13 \\
\hline
3.84 \\
\end{array}
$$

Answer:
$$
\boxed{3.84}
$$

#### Problem 4:
$$
65.42 - 64.39
$$
- Align the decimal points:
$$
\begin{array}{r}
65.42 \\
- 64.39 \\
\hline
\end{array}
$$
- Subtract column by column from right to left:
- Hundredths place: \(2 - 9\) (borrow 1 from tenths place, making it \(12 - 9 = 3\))
- Tenths place: \(3 (\text{after borrowing}) - 3 = 0\)
- Ones place: \(5 - 4 = 1\)
- Tens place: \(6 - 6 = 0\)

$$
\begin{array}{r}
65.42 \\
- 64.39 \\
\hline
1.03 \\
\end{array}
$$

Answer:
$$
\boxed{1.03}
$$

#### Problem 5:
$$
9.91 - 7.37
$$
- Align the decimal points:
$$
\begin{array}{r}
9.91 \\
- 7.37 \\
\hline
\end{array}
$$
- Subtract column by column from right to left:
- Hundredths place: \(1 - 7\) (borrow 1 from tenths place, making it \(11 - 7 = 4\))
- Tenths place: \(8 (\text{after borrowing}) - 3 = 5\)
- Ones place: \(9 - 7 = 2\)

$$
\begin{array}{r}
9.91 \\
- 7.37 \\
\hline
2.54 \\
\end{array}
$$

Answer:
$$
\boxed{2.54}
$$

#### Problem 6:
$$
69.39 - 60.11
$$
- Align the decimal points:
$$
\begin{array}{r}
69.39 \\
- 60.11 \\
\hline
\end{array}
$$
- Subtract column by column from right to left:
- Hundredths place: \(9 - 1 = 8\)
- Tenths place: \(3 - 1 = 2\)
- Ones place: \(9 - 0 = 9\)
- Tens place: \(6 - 6 = 0\)

$$
\begin{array}{r}
69.39 \\
- 60.11 \\
\hline
9.28 \\
\end{array}
$$

Answer:
$$
\boxed{9.28}
$$

---

Final Answers:

#### Adding Decimals:
1. \( \boxed{37.45} \)
2. \( \boxed{41.50} \)
3. \( \boxed{406.743} \)
4. \( \boxed{161.05} \)
5. \( \boxed{12.07} \)

#### Subtracting Decimals:
1. \( \boxed{96.89} \)
2. \( \boxed{80.14} \)
3. \( \boxed{3.84} \)
4. \( \boxed{1.03} \)
5. \( \boxed{2.54} \)
6. \( \boxed{9.28} \)