Determining Significant Figures Flashcards

1
Q

243.3

A

243.3

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2
Q

467

A

467

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3
Q

0.364

A

0.364

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4
Q

3200

A

3200

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5
Q

30254

A

30254

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6
Q

0.4605

A

0.4605

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7
Q

-45.098

A

-45.098

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8
Q

2400

A

2400; write in scientific notation = 2.4x10^3

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9
Q

64300

A

64300; write in scientific notation = 6.43x10^4

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10
Q

45.

A

45.

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11
Q

144000.

A

144000.

Decimal point establistes precision of the number

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12
Q

35.00

A

35.00

Decimal point still establishes precision of the number

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13
Q

440.000

A

440.000

Decimal point still establishes precision of the number

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14
Q

0.00352

A

0.00352

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15
Q

-0.3745

A

-0.3745

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16
Q

Sig. Fig. Rule

multiplication & division

A

Final answer:

Same number of sig figs as the least number of sig figs occuring in computation

17
Q

Sig. Fig. Rule

Addition & Subtraction

A

Final answer:

Should have no more precision (decimal places) than the least precise number from the inputs. Look for an example of this.

18
Q

Sig. Fig. Rule 2

When the final answer is the result of a series of single computations…

A
  • carry atleast the largest number of sig figs, then
  • round off the final answer to the least number of sig figs appearing in computation.

Basically use all sig figs when computing, then round off with least number of sig figs you started with.

19
Q

*Sig. Figs. Rule 3

A specification to a certain number of decimal places is different from a significant number of figures. Give examples.

A
  1. 324
  2. 004
  3. 450

These numbers are all to 3 decimal places but have 3, 4, and 5 significant figures, respectively.

20
Q

What is the significance of Rule 1 and 3?

What about rule 2?

A

The first and third rules prevent the creation of answers implying more accuracy than is really there.

The second rule prevents what is called “cumulative rounding errors”.

21
Q
A