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Original Question
convert the numeral to a numeral in base 10 43 5Asked by katie
convert the numeral to a numeral in base 10
14
5
14
5
Answers
Answered by
MathMate
The "1" stands for 5 in base 5.
14<sub>5</sub>
=(<b>1</b>*5)+<b>4</b>
=?
14<sub>5</sub>
=(<b>1</b>*5)+<b>4</b>
=?
Answered by
katie
4.5 + 1.1
20 + 1
21
20 + 1
21
Answered by
MathMate
Your working is for
41<sub>5</sub>
=4.5 + 1.1
=20 + 1
=21
The units digit is multiplied by 1, and the second digit from the right is multiplied by the base, 5 in this case.
If the number has more than 2 digits, the next digits (to the left) are multiplied by the subsequent powers of the base.
Example:
321<sub>7</sub>
=3*7^2 + 2*7^1 + 1*7^0
=3*49 + 2*7 + 1*1
=147 + 14 + 1
=162
So
41<sub>5</sub>
=4*5^1 + 1*5^0
=4*5 + 1*1
=21
41<sub>5</sub>
=4.5 + 1.1
=20 + 1
=21
The units digit is multiplied by 1, and the second digit from the right is multiplied by the base, 5 in this case.
If the number has more than 2 digits, the next digits (to the left) are multiplied by the subsequent powers of the base.
Example:
321<sub>7</sub>
=3*7^2 + 2*7^1 + 1*7^0
=3*49 + 2*7 + 1*1
=147 + 14 + 1
=162
So
41<sub>5</sub>
=4*5^1 + 1*5^0
=4*5 + 1*1
=21
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