Currently viewing the tag: "Powers"
There are some water lilies in a lake.
The area that they cover doubles in size every day.
After 17 days the whole lake is covered with water lilies.
How long did it take them to cover half the lake?
What pattern can you see in the last digits of the powers of 2?
What about the last digits of the powers of 3?
What patterns can you see in the last digits for the numbers in the picture?
Can you explain why all these numbers are multiples of 5?
What about […]
Investigate the last digits of the numbers in the picture when n = 1, 2, 3 , 4 and 5. What do you notice? Does this pattern continue? Why?
Will the first number be a power of 10 for any value of n?
What can you say about the values of n […]
1. Imagine the first number is written out in full. How many zeros would there be at the end? Why? Can you find the answer without doing the whole calculation?
2. Work out a few values of the second number with n = 1, 2, 3 and 4 . Can you show numbers […]
Is this number divisible by 5?
Hint: Just look at the last digits of powers. What values do they take?
Investigate other big powers?
Make up some similar numerical expressions involving powers that have interesting properties.
What about even bigger powers or
?
Click here for the POWERFUL THINKING 4 Worksheet.
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