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4.4 Addition and Subtraction in Base Systems

Carrying and borrowing when a column fills at 2, 8, or 12 rather than at 10, and diagnosing where a worked sum or difference went wrong.

Contemporary Mathematics, 4.4 Addition and Subtraction in Base Systems

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10 exercises

4.4 Exercise 1

Calculate 2516 + 1336.

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4.4 Exercise 3

  1. Create the addition table for base 7.
  2. Create the addition table for base 2.
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4.4 Exercise 5

Calculate 5367 + 4337.

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4.4 Exercise 7

Create the addition table for base 12.

2.5

4.4 Exercise 9

Calculate 3A712 + 9BA12.

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4.4 Exercise 11

We again return to base 2, the base used by computers. Calculate 10012 + 110112.

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4.4 Exercise 13

Calculate 526 − 346.

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4.4 Exercise 15

Calculate A1712 − 4B312.

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4.4 Exercise 17

Explain the error in the following calculation:

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4.4 Exercise 19

Explain the error in the following calculation, and correct the error:

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4.3 Converting with Base Systems4.5 Multiplication and Division in Base Systems

Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.

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