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Decimal multiplication practice worksheet with 20 problems, showing step-by-step multiplication of decimal numbers.

A worksheet with 20 decimal multiplication problems, each requiring students to calculate the product using the standard algorithm with partial products.

A worksheet with 20 decimal multiplication problems, each requiring students to calculate the product using the standard algorithm with partial products.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying decimal numbers by whole numbers interactive worksheet ...
To solve the problem, we need to calculate each product step by step. Let's go through each multiplication problem systematically.

Step-by-Step Solutions:



#### 1) \( 91.9 \times 78 \)

\[
\begin{array}{r}
91.9 \\
\times 78 \\
\hline
7352 \\ \text{(91.9 × 8)} \\
+ 64330 \\ \text{(91.9 × 70, shifted one place to the left)} \\
\hline
71502 \\
\end{array}
\]

So, \( 91.9 \times 78 = 7150.2 \).

#### 2) \( 0.31 \times 73 \)

\[
\begin{array}{r}
0.31 \\
\times 73 \\
\hline
93 \\ \text{(0.31 × 3)} \\
+ 2170 \\ \text{(0.31 × 70, shifted one place to the left)} \\
\hline
22.63 \\
\end{array}
\]

So, \( 0.31 \times 73 = 22.63 \).

#### 3) \( 28.1 \times 69 \)

\[
\begin{array}{r}
28.1 \\
\times 69 \\
\hline
2529 \\ \text{(28.1 × 9)} \\
+ 16860 \\ \text{(28.1 × 60, shifted one place to the left)} \\
\hline
1938.9 \\
\end{array}
\]

So, \( 28.1 \times 69 = 1938.9 \).

#### 4) \( 4.0 \times 49 \)

\[
\begin{array}{r}
4.0 \\
\times 49 \\
\hline
360 \\ \text{(4.0 × 9)} \\
+ 1600 \\ \text{(4.0 × 40, shifted one place to the left)} \\
\hline
196.0 \\
\end{array}
\]

So, \( 4.0 \times 49 = 196.0 \).

#### 5) \( 19.3 \times 62 \)

\[
\begin{array}{r}
19.3 \\
\times 62 \\
\hline
386 \\ \text{(19.3 × 2)} \\
+ 11580 \\ \text{(19.3 × 60, shifted one place to the left)} \\
\hline
1196.6 \\
\end{array}
\]

So, \( 19.3 \times 62 = 1196.6 \).

#### 6) \( 0.22 \times 33 \)

\[
\begin{array}{r}
0.22 \\
\times 33 \\
\hline
66 \\ \text{(0.22 × 3)} \\
+ 660 \\ \text{(0.22 × 30, shifted one place to the left)} \\
\hline
7.26 \\
\end{array}
\]

So, \( 0.22 \times 33 = 7.26 \).

#### 7) \( 54.0 \times 69 \)

\[
\begin{array}{r}
54.0 \\
\times 69 \\
\hline
4860 \\ \text{(54.0 × 9)} \\
+ 32400 \\ \text{(54.0 × 60, shifted one place to the left)} \\
\hline
3726.0 \\
\end{array}
\]

So, \( 54.0 \times 69 = 3726.0 \).

#### 8) \( 0.051 \times 77 \)

\[
\begin{array}{r}
0.051 \\
\times 77 \\
\hline
357 \\ \text{(0.051 × 7)} \\
+ 3570 \\ \text{(0.051 × 70, shifted one place to the left)} \\
\hline
3.927 \\
\end{array}
\]

So, \( 0.051 \times 77 = 3.927 \).

#### 9) \( 48.0 \times 73 \)

\[
\begin{array}{r}
48.0 \\
\times 73 \\
\hline
1440 \\ \text{(48.0 × 3)} \\
+ 33600 \\ \text{(48.0 × 70, shifted one place to the left)} \\
\hline
3504.0 \\
\end{array}
\]

So, \( 48.0 \times 73 = 3504.0 \).

#### 10) \( 0.55 \times 19 \)

\[
\begin{array}{r}
0.55 \\
\times 19 \\
\hline
495 \\ \text{(0.55 × 9)} \\
+ 550 \\ \text{(0.55 × 10, shifted one place to the left)} \\
\hline
10.45 \\
\end{array}
\]

So, \( 0.55 \times 19 = 10.45 \).

#### 11) \( 0.86 \times 19 \)

\[
\begin{array}{r}
0.86 \\
\times 19 \\
\hline
774 \\ \text{(0.86 × 9)} \\
+ 860 \\ \text{(0.86 × 10, shifted one place to the left)} \\
\hline
16.34 \\
\end{array}
\]

So, \( 0.86 \times 19 = 16.34 \).

#### 12) \( 1.1 \times 21 \)

\[
\begin{array}{r}
1.1 \\
\times 21 \\
\hline
11 \\ \text{(1.1 × 1)} \\
+ 220 \\ \text{(1.1 × 20, shifted one place to the left)} \\
\hline
23.1 \\
\end{array}
\]

So, \( 1.1 \times 21 = 23.1 \).

#### 13) \( 96.2 \times 86 \)

\[
\begin{array}{r}
96.2 \\
\times 86 \\
\hline
5772 \\ \text{(96.2 × 6)} \\
+ 76960 \\ \text{(96.2 × 80, shifted one place to the left)} \\
\hline
8273.2 \\
\end{array}
\]

So, \( 96.2 \times 86 = 8273.2 \).

#### 14) \( 0.058 \times 81 \)

\[
\begin{array}{r}
0.058 \\
\times 81 \\
\hline
522 \\ \text{(0.058 × 1)} \\
+ 4640 \\ \text{(0.058 × 80, shifted one place to the left)} \\
\hline
4.698 \\
\end{array}
\]

So, \( 0.058 \times 81 = 4.698 \).

#### 15) \( 7.9 \times 42 \)

\[
\begin{array}{r}
7.9 \\
\times 42 \\
\hline
158 \\ \text{(7.9 × 2)} \\
+ 3160 \\ \text{(7.9 × 40, shifted one place to the left)} \\
\hline
331.8 \\
\end{array}
\]

So, \( 7.9 \times 42 = 331.8 \).

#### 16) \( 0.299 \times 73 \)

\[
\begin{array}{r}
0.299 \\
\times 73 \\
\hline
897 \\ \text{(0.299 × 3)} \\
+ 20930 \\ \text{(0.299 × 70, shifted one place to the left)} \\
\hline
21.827 \\
\end{array}
\]

So, \( 0.299 \times 73 = 21.827 \).

#### 17) \( 0.172 \times 60 \)

\[
\begin{array}{r}
0.172 \\
\times 60 \\
\hline
1032 \\ \text{(0.172 × 60)} \\
\hline
10.32 \\
\end{array}
\]

So, \( 0.172 \times 60 = 10.32 \).

#### 18) \( 93.1 \times 74 \)

\[
\begin{array}{r}
93.1 \\
\times 74 \\
\hline
3724 \\ \text{(93.1 × 4)} \\
+ 65170 \\ \text{(93.1 × 70, shifted one place to the left)} \\
\hline
6885.4 \\
\end{array}
\]

So, \( 93.1 \times 74 = 6885.4 \).

#### 19) \( 0.759 \times 84 \)

\[
\begin{array}{r}
0.759 \\
\times 84 \\
\hline
3036 \\ \text{(0.759 × 4)} \\
+ 60720 \\ \text{(0.759 × 80, shifted one place to the left)} \\
\hline
63.756 \\
\end{array}
\]

So, \( 0.759 \times 84 = 63.756 \).

#### 20) \( 0.582 \times 20 \)

\[
\begin{array}{r}
0.582 \\
\times 20 \\
\hline
1164 \\ \text{(0.582 × 20)} \\
\hline
11.64 \\
\end{array}
\]

So, \( 0.582 \times 20 = 11.64 \).

Final Answers:



\[
\boxed{
\begin{array}{ll}
1) & 7150.2 \\
2) & 22.63 \\
3) & 1938.9 \\
4) & 196.0 \\
5) & 1196.6 \\
6) & 7.26 \\
7) & 3726.0 \\
8) & 3.927 \\
9) & 3504.0 \\
10) & 10.45 \\
11) & 16.34 \\
12) & 23.1 \\
13) & 8273.2 \\
14) & 4.698 \\
15) & 331.8 \\
16) & 21.827 \\
17) & 10.32 \\
18) & 6885.4 \\
19) & 63.756 \\
20) & 11.64 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying whole numbers and decimals worksheet.
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