A Big Power
This resource is from the Underground Mathematics team.
$2^{2000}$ is a big number!
Here are three questions about it.
1. Without using a calculator, estimate the size of $2^{2000}$.
You might like to give your answer as a power of $10$.
2. The first two digits of $2^{16}=65536$ are $65$.
What are the first five digits of $2^{2000}$?
You are welcome to use your calculator to help you for this one!
3. The final digit of $2^{16}=65536$ is $6$, and the final two digits
are $36$.
What is the final digit of $2^{2000}$?
And what are the final two digits?
Underground Mathematics is hosted by Cambridge Mathematics. The project was originally funded by a grant from the UK Department for Education to provide free web-based resources that support the teaching and learning of post-16 mathematics.
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.
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