Real-World Examples of Dividing Decimals by Powers of 10

📚 Quick Study Guide

• 🔢 Dividing by powers of 10 is like moving the decimal point to the left.
• 💯 Dividing by 10 means moving the decimal point one place to the left. For example, $45.6 \div 10 = 4.56$.
• 🚀 Dividing by 100 (10²) means moving the decimal point two places to the left. For example, $45.6 \div 100 = 0.456$.
• 💡 Dividing by 1000 (10³) means moving the decimal point three places to the left. For example, $45.6 \div 1000 = 0.0456$.
• ✍️ If you run out of digits, add zeros as placeholders to the left of the number. For example, $5 \div 100 = 0.05$.
• 🧮 The exponent of 10 tells you how many places to move the decimal.

Practice Quiz

1. What is 12.5 ÷ 10?
1. 0.125
2. 1.25
3. 125
4. 1250
2. A roll of wrapping paper is 35.5 meters long. If you need to divide it into 100 equal pieces, how long will each piece be in meters?
1. 3.55
2. 0.355
3. 355
4. 0.0355
3. Calculate 147.2 ÷ 1000.
1. 14.72
2. 1.472
3. 0.1472
4. 0.01472
4. A bag of sugar weighs 250 grams. If you divide it into 10 equal portions, how much will each portion weigh in grams?
1. 2.5
2. 25
3. 2500
4. 0.25
5. What is 0.8 ÷ 100?
1. 0.08
2. 0.008
3. 8
4. 80
6. If a marathon runner covers 42.195 kilometers and you want to find the distance covered in each 1/10th of the marathon, what is the distance of each segment?
1. 4.2195 km
2. 0.42195 km
3. 421.95 km
4. 4219.5 km
7. A company made a profit of $12,500 and decides to divide it equally among its 1000 employees. How much does each employee receive?
1. $12.50
2. $1.25
3. $125
4. $0.125