boredpeoplebelike boredpeoplebelike
  • 23-03-2022
  • Mathematics
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316₇ written in base 10 =​

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MrRoyal
MrRoyal MrRoyal
  • 24-03-2022

The number [tex]316_7[/tex] is 316 in base seven

The number 316 in base seven is 160 in base ten

How to convert the base to base 10

To convert to base 10, we make use of the product rule.

So, we have:

[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]

Evaluate the exponents

[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]

Evaluate the products

[tex]316_7 = 147 + 7 + 6[/tex]

Evaluate the sum

[tex]316_7 = 160[/tex]

Hence, the number 316 in base seven is 160 in base ten

Read more about number base at:

https://brainly.com/question/10873737

Answer Link

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