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Title: What does it mean to rewrite a number to a different base?
Description: This document explains what it means to rewrite a number to a different base.

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NUMBER REPRESENTATION AND CALCULATION
What does it mean to rewrite a number to a different base?
When a number is rewritten to a different base, it is converted using different
digits that correspond to the coefficients on the powers of the new base
...

1 is the ones place
10^1 is the tens place
10^2 is the hundreds place
...


Example

I

For example, when we write 126, we have a 1 in the hundreds place, a 2 in the
tens place and a 6 in the ones place, so we can rewrite 126 as
(1 x 10^2) + (2 x 10^1) + (4 x 1)

What does it mean to add or subtract two or three numbers to a
different base?
Carrying rules differ depending on whether you're adding or subtracting
...
When adding for any base, if you get a number greater than or equal to the
base, you must carry all place values greater than the ones place
...


Why do we learn to work with numbers in different bases?
We gain a better understanding of our number system by studying other bases
...



Title: What does it mean to rewrite a number to a different base?
Description: This document explains what it means to rewrite a number to a different base.