SOLUTION: Find the numeral preceding and succeeding each of the following numerals. A. 100eight B. 10000seven C. 305six

Question 1160816: Find the numeral preceding and succeeding each of the following numerals.
A. 100eight
B. 10000seven
C. 305six
Found 3 solutions by Alan3354, ikleyn, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the numeral preceding and succeeding each of the following numerals.
A. 100eight
B. 10000seven
C. 305six
---------------
What?
Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.

The TWIN problem was solved yesterday at this link

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1160760.html

It is your TEMPLATE.

Look into the template and think on it.

After thinking, solve the given problem by the same way on your own.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Think about what happens when you add 1 or subtract 1 from 100 in the familiar base 10.

Adding just adds 1 to the units digit.

Subtracting 1 gives 99, because 9 is the largest digit in base 10.

So....

A. 100 base 8
The largest digit in base 8 is 7, so
..., 77, 100, 101,...

B. 10000 base 7
The largest digit in base 7 is 6, so
..., 6666, 10000, 10001, ...

Then think about what happens when you add 1 to 509 in base 10. 9 is the largest digit in base 9, so adding 1 makes the units digit 0, and you "carry" a 1 to the next digit to the left: 509 + 1 = 510.

C. 305 base 6
5 is the largest digit in base 6, so
..., 304, 305, 310, ...

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