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How can you find 50% of a number quickly in your head?
Andre lives 1.6 km from school. What is 50% of 1.6 km?
Diego lives \(\frac 1 2\) mile from school. What is 50% of \(\frac 1 2\) mile?
There is a 10% off sale on laptop computers. If someone saves \$35 on a laptop, what was its original cost? If you get stuck, consider using the table.
| savings (dollars) | percentage |
|---|---|
| 35 | 10 |
Explain how to calculate these mentally.
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because \(60 \div 5 = 12\). Does Noah’s method always work? Explain why or why not.
Diego has 75% of \$10. Noah has 25% of \$30. Who has more money? Explain your reasoning.
Two ants are at the opposite end of a 22-meter long cable. They start walking toward each other at the same time, each at a constant speed. The smaller ant walks at a speed of 2.5 meters per minute. The larger ant walks at a speed of 3 meters per minute.
Here is a table showing the distances the ants traveled and how far apart they are over time. Use the table to find how much time passes before they meet.
| elapsed time (minutes) | distance traveled by smaller ant (meters) | distance traveled by larger ant (meters) | distance apart (meters) |
|---|---|---|---|
| 0 | 0 | 0 | 22 |
| 1 | 2.5 | 3 | 16.5 |
| 0 |