Significant digits

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# Significant digits - PowerPoint PPT Presentation

Significant digits. 1. Non-zero digits are ALWAYS significant. Example- 123456789 2. Zeros that are between other significant digits are ALWAYS significant. Example - 3004  3. Final zeros that occur before or after the decimal are ALWAYS significant. Example - 78.00

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## PowerPoint Slideshow about ' Significant digits' - orinda

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### Significant digits

1. Non-zero digits are ALWAYS significant.

Example- 123456789

2. Zeros that are between other significant digits are ALWAYS significant.

Example- 3004

3. Final zeros that occur before or after the decimal are ALWAYS significant.

Example- 78.00

4. Zeros used for spacing the decimal are NOT significant.

Example- 0.003

RULES FOR SIGNIFICANT DIGITS

2804 0.00305

2.84 30.24

0.0029 6.89

4.6 X 104 0.001

75.00 6.0

50000 123.056

360 100.04

HOW MANY SIGNIFICANT DIGITS?

When you have numbers to add/subtract you will sometimes need your answer to have the correct number of significant digits. Here is the rule:

Look at all of the numbers to add/subtract and find the number with the LEAST number of sig. digs. AFTER the decimal. This is how many sig. digs. should be after the decimal in your answer.

Example - 24.686

2.343

3.21

30.239

When you have numbers to multiply/divide you will sometimes need your answer to have the correct number of significant digits. Here is the rule:

Look at all of the numbers to multiply/divide and find the number with the LEAST number of sig. digs. This is how many sig. digs. that you should have in your answer.

Example - 3.22 x 2.1 = 6.762

MULTIPLYING & DIVIDING

1.2 + 1.26 =

• 2.46
• 2.476-1.72 =
• 0.756
• 10.72694321 – 10.1 =
• 0.62694321