Multiply Decimals and 2-Digit Numbers: Vertical Multiplication ... - Free Printable
Educational worksheet: Multiply Decimals and 2-Digit Numbers: Vertical Multiplication .... Download and print for classroom or home learning activities.
JPEG
580×812
54.7 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1967013
⭐
Show Answer Key & Explanations
Step-by-step solution for: Multiply Decimals and 2-Digit Numbers: Vertical Multiplication ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Multiply Decimals and 2-Digit Numbers: Vertical Multiplication ...
The task involves multiplying decimals and 2-digit numbers. Below, I will solve each problem step by step.
---
- First, ignore the decimal point and multiply as whole numbers:
\( 19 \times 31 = 589 \)
- Count the total number of decimal places in the factors:
\( 1.9 \) has 1 decimal place, and \( 31 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point in the product:
\( 589 \rightarrow 58.9 \)
Answer: \( 58.9 \)
---
- Multiply as whole numbers:
\( 14 \times 38 = 532 \)
- Count the decimal places:
\( 1.4 \) has 1 decimal place, and \( 38 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 532 \rightarrow 53.2 \)
Answer: \( 53.2 \)
---
- Multiply as whole numbers:
\( 46 \times 55 = 2530 \)
- Count the decimal places:
\( 4.6 \) has 1 decimal place, and \( 55 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 2530 \rightarrow 253.0 \)
Answer: \( 253.0 \)
---
- Multiply as whole numbers:
\( 84 \times 35 = 2940 \)
- Count the decimal places:
\( 8.4 \) has 1 decimal place, and \( 35 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 2940 \rightarrow 294.0 \)
Answer: \( 294.0 \)
---
- Multiply as whole numbers:
\( 222 \times 23 = 5106 \)
- Count the decimal places:
\( 22.2 \) has 1 decimal place, and \( 23 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 5106 \rightarrow 510.6 \)
Answer: \( 510.6 \)
---
- Multiply as whole numbers:
\( 416 \times 75 = 31200 \)
- Count the decimal places:
\( 41.6 \) has 1 decimal place, and \( 75 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 31200 \rightarrow 3120.0 \)
Answer: \( 3120.0 \)
---
- Multiply as whole numbers:
\( 221 \times 31 = 6851 \)
- Count the decimal places:
\( 22.1 \) has 1 decimal place, and \( 31 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 6851 \rightarrow 685.1 \)
Answer: \( 685.1 \)
---
- Multiply as whole numbers:
\( 513 \times 93 = 47609 \)
- Count the decimal places:
\( 51.3 \) has 1 decimal place, and \( 93 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 47609 \rightarrow 4760.9 \)
Answer: \( 4760.9 \)
---
- Multiply as whole numbers:
\( 52 \times 13 = 676 \)
- Count the decimal places:
\( 0.52 \) has 2 decimal places, and \( 13 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 676 \rightarrow 6.76 \)
Answer: \( 6.76 \)
---
- Multiply as whole numbers:
\( 27 \times 83 = 2241 \)
- Count the decimal places:
\( 0.27 \) has 2 decimal places, and \( 83 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 2241 \rightarrow 22.41 \)
Answer: \( 22.41 \)
---
- Multiply as whole numbers:
\( 83 \times 45 = 3735 \)
- Count the decimal places:
\( 0.83 \) has 2 decimal places, and \( 45 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 3735 \rightarrow 37.35 \)
Answer: \( 37.35 \)
---
- Multiply as whole numbers:
\( 85 \times 70 = 5950 \)
- Count the decimal places:
\( 0.85 \) has 2 decimal places, and \( 70 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 5950 \rightarrow 59.50 \)
Answer: \( 59.50 \)
---
- Multiply as whole numbers:
\( 4315 \times 24 = 103560 \)
- Count the decimal places:
\( 43.15 \) has 2 decimal places, and \( 24 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 103560 \rightarrow 1035.60 \)
Answer: \( 1035.60 \)
---
- Multiply as whole numbers:
\( 8474 \times 83 = 704482 \)
- Count the decimal places:
\( 84.74 \) has 2 decimal places, and \( 83 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 704482 \rightarrow 7044.82 \)
Answer: \( 7044.82 \)
---
- Multiply as whole numbers:
\( 3313 \times 90 = 298170 \)
- Count the decimal places:
\( 33.13 \) has 2 decimal places, and \( 90 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 298170 \rightarrow 2981.70 \)
Answer: \( 2981.70 \)
---
- Multiply as whole numbers:
\( 983 \times 56 = 55088 \)
- Count the decimal places:
\( 9.83 \) has 2 decimal places, and \( 56 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 55088 \rightarrow 550.88 \)
Answer: \( 550.88 \)
---
\[
\boxed{
\begin{array}{cccc}
58.9 & 53.2 & 253.0 & 294.0 \\
510.6 & 3120.0 & 685.1 & 4760.9 \\
6.76 & 22.41 & 37.35 & 59.50 \\
1035.60 & 7044.82 & 2981.70 & 550.88
\end{array}
}
\]
---
1. \( 1.9 \times 31 \)
- First, ignore the decimal point and multiply as whole numbers:
\( 19 \times 31 = 589 \)
- Count the total number of decimal places in the factors:
\( 1.9 \) has 1 decimal place, and \( 31 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point in the product:
\( 589 \rightarrow 58.9 \)
Answer: \( 58.9 \)
---
2. \( 1.4 \times 38 \)
- Multiply as whole numbers:
\( 14 \times 38 = 532 \)
- Count the decimal places:
\( 1.4 \) has 1 decimal place, and \( 38 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 532 \rightarrow 53.2 \)
Answer: \( 53.2 \)
---
3. \( 4.6 \times 55 \)
- Multiply as whole numbers:
\( 46 \times 55 = 2530 \)
- Count the decimal places:
\( 4.6 \) has 1 decimal place, and \( 55 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 2530 \rightarrow 253.0 \)
Answer: \( 253.0 \)
---
4. \( 8.4 \times 35 \)
- Multiply as whole numbers:
\( 84 \times 35 = 2940 \)
- Count the decimal places:
\( 8.4 \) has 1 decimal place, and \( 35 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 2940 \rightarrow 294.0 \)
Answer: \( 294.0 \)
---
5. \( 22.2 \times 23 \)
- Multiply as whole numbers:
\( 222 \times 23 = 5106 \)
- Count the decimal places:
\( 22.2 \) has 1 decimal place, and \( 23 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 5106 \rightarrow 510.6 \)
Answer: \( 510.6 \)
---
6. \( 41.6 \times 75 \)
- Multiply as whole numbers:
\( 416 \times 75 = 31200 \)
- Count the decimal places:
\( 41.6 \) has 1 decimal place, and \( 75 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 31200 \rightarrow 3120.0 \)
Answer: \( 3120.0 \)
---
7. \( 22.1 \times 31 \)
- Multiply as whole numbers:
\( 221 \times 31 = 6851 \)
- Count the decimal places:
\( 22.1 \) has 1 decimal place, and \( 31 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 6851 \rightarrow 685.1 \)
Answer: \( 685.1 \)
---
8. \( 51.3 \times 93 \)
- Multiply as whole numbers:
\( 513 \times 93 = 47609 \)
- Count the decimal places:
\( 51.3 \) has 1 decimal place, and \( 93 \) has 0 decimal places. Total = 1 decimal place.
- Place the decimal point:
\( 47609 \rightarrow 4760.9 \)
Answer: \( 4760.9 \)
---
9. \( 0.52 \times 13 \)
- Multiply as whole numbers:
\( 52 \times 13 = 676 \)
- Count the decimal places:
\( 0.52 \) has 2 decimal places, and \( 13 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 676 \rightarrow 6.76 \)
Answer: \( 6.76 \)
---
10. \( 0.27 \times 83 \)
- Multiply as whole numbers:
\( 27 \times 83 = 2241 \)
- Count the decimal places:
\( 0.27 \) has 2 decimal places, and \( 83 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 2241 \rightarrow 22.41 \)
Answer: \( 22.41 \)
---
11. \( 0.83 \times 45 \)
- Multiply as whole numbers:
\( 83 \times 45 = 3735 \)
- Count the decimal places:
\( 0.83 \) has 2 decimal places, and \( 45 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 3735 \rightarrow 37.35 \)
Answer: \( 37.35 \)
---
12. \( 0.85 \times 70 \)
- Multiply as whole numbers:
\( 85 \times 70 = 5950 \)
- Count the decimal places:
\( 0.85 \) has 2 decimal places, and \( 70 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 5950 \rightarrow 59.50 \)
Answer: \( 59.50 \)
---
13. \( 43.15 \times 24 \)
- Multiply as whole numbers:
\( 4315 \times 24 = 103560 \)
- Count the decimal places:
\( 43.15 \) has 2 decimal places, and \( 24 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 103560 \rightarrow 1035.60 \)
Answer: \( 1035.60 \)
---
14. \( 84.74 \times 83 \)
- Multiply as whole numbers:
\( 8474 \times 83 = 704482 \)
- Count the decimal places:
\( 84.74 \) has 2 decimal places, and \( 83 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 704482 \rightarrow 7044.82 \)
Answer: \( 7044.82 \)
---
15. \( 33.13 \times 90 \)
- Multiply as whole numbers:
\( 3313 \times 90 = 298170 \)
- Count the decimal places:
\( 33.13 \) has 2 decimal places, and \( 90 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 298170 \rightarrow 2981.70 \)
Answer: \( 2981.70 \)
---
16. \( 9.83 \times 56 \)
- Multiply as whole numbers:
\( 983 \times 56 = 55088 \)
- Count the decimal places:
\( 9.83 \) has 2 decimal places, and \( 56 \) has 0 decimal places. Total = 2 decimal places.
- Place the decimal point:
\( 55088 \rightarrow 550.88 \)
Answer: \( 550.88 \)
---
Final Answers:
\[
\boxed{
\begin{array}{cccc}
58.9 & 53.2 & 253.0 & 294.0 \\
510.6 & 3120.0 & 685.1 & 4760.9 \\
6.76 & 22.41 & 37.35 & 59.50 \\
1035.60 & 7044.82 & 2981.70 & 550.88
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying decimal by decimal worksheet.
![Free Printable Multiplying Decimals Worksheets [PDF] Brighterly.com](/images2/multiplying-decimal-by-decimal-worksheet/multiplying-decimal-by-decimal-worksheet-7.jpg)
