# Significant digits - PowerPoint PPT Presentation

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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

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Significant digits

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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

28040.00305

2.8430.24

0.00296.89

4.6 X 1040.001

75.006.0

50000123.056

360100.04

### 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

• 1.53 x 2.5

• 3.825

• 10.0 / 5.0 =

• 2