Multiplying 2-digit Integers and Hundredths worksheet | Live ... - Free Printable

Problem Description:

The task involves solving a series of multiplication problems where decimal numbers are multiplied by integers. The goal is to compute the products for each pair of numbers.

Given Multiplication Problems:

1. \( 0.78 \times 38 \)
2. \( 0.22 \times 80 \)
3. \( 0.26 \times 34 \)
4. \( 0.22 \times 65 \)
5. \( 0.19 \times 93 \)
6. \( 0.77 \times 45 \)
7. \( 0.32 \times 85 \)
8. \( 0.55 \times 77 \)
9. \( 0.28 \times 60 \)

Solution Approach:

To solve each multiplication problem, we will:
1. Multiply the numbers as if they were whole numbers.
2. Count the total number of decimal places in the original numbers.
3. Place the decimal point in the product such that the total number of decimal places matches the sum of decimal places in the original numbers.

Step-by-Step Solutions:

#### 1. \( 0.78 \times 38 \)
- Treat as \( 78 \times 38 \):
\[
78 \times 38 = 2964
\]
- Original numbers have 2 decimal places (from 0.78).
- Place the decimal point:
\[
0.78 \times 38 = 29.64
\]

#### 2. \( 0.22 \times 80 \)
- Treat as \( 22 \times 80 \):
\[
22 \times 80 = 1760
\]
- Original numbers have 2 decimal places (from 0.22).
- Place the decimal point:
\[
0.22 \times 80 = 17.60 = 17.6
\]

#### 3. \( 0.26 \times 34 \)
- Treat as \( 26 \times 34 \):
\[
26 \times 34 = 884
\]
- Original numbers have 2 decimal places (from 0.26).
- Place the decimal point:
\[
0.26 \times 34 = 8.84
\]

#### 4. \( 0.22 \times 65 \)
- Treat as \( 22 \times 65 \):
\[
22 \times 65 = 1430
\]
- Original numbers have 2 decimal places (from 0.22).
- Place the decimal point:
\[
0.22 \times 65 = 14.30 = 14.3
\]

#### 5. \( 0.19 \times 93 \)
- Treat as \( 19 \times 93 \):
\[
19 \times 93 = 1767
\]
- Original numbers have 2 decimal places (from 0.19).
- Place the decimal point:
\[
0.19 \times 93 = 17.67
\]

#### 6. \( 0.77 \times 45 \)
- Treat as \( 77 \times 45 \):
\[
77 \times 45 = 3465
\]
- Original numbers have 2 decimal places (from 0.77).
- Place the decimal point:
\[
0.77 \times 45 = 34.65
\]

#### 7. \( 0.32 \times 85 \)
- Treat as \( 32 \times 85 \):
\[
32 \times 85 = 2720
\]
- Original numbers have 2 decimal places (from 0.32).
- Place the decimal point:
\[
0.32 \times 85 = 27.20 = 27.2
\]

#### 8. \( 0.55 \times 77 \)
- Treat as \( 55 \times 77 \):
\[
55 \times 77 = 4235
\]
- Original numbers have 2 decimal places (from 0.55).
- Place the decimal point:
\[
0.55 \times 77 = 42.35
\]

#### 9. \( 0.28 \times 60 \)
- Treat as \( 28 \times 60 \):
\[
28 \times 60 = 1680
\]
- Original numbers have 2 decimal places (from 0.28).
- Place the decimal point:
\[
0.28 \times 60 = 16.80 = 16.8
\]

Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ 29.64 \\
2. & \ 17.6 \\
3. & \ 8.84 \\
4. & \ 14.3 \\
5. & \ 17.67 \\
6. & \ 34.65 \\
7. & \ 27.2 \\
8. & \ 42.35 \\
9. & \ 16.8 \\
\end{aligned}
}
\]