# 2 Finding Sig Figs

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Kyle Pearson
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Find the sig figs using OCEANS or RULES.

• 1.

### How many significant figures are in:  3.10e23 cm

Explanation
OCEAN METHOD explanation: Decimal is PRESENT - so PACIFIC OCEAN (left side of number) - find the first number that is not a zero, it is a (3) - once it is found that number is significant and everything after it is also significant
RULES METHOD explanation: Rule 4) Trailing zeros are only significant if there is a decimal

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• 2.

### How many significant figures are in: 0.0058 cm

Explanation
OCEAN METHOD explanation: Decimal is PRESENT - so PACIFIC OCEAN (left side of number) - find the first number that is not a zero (5) - once it is found that number is significant and everything after it is also significant
RULES METHOD explanation: RULE 3) Leading zeros are never significant

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• 3.

### How many significant figures are in:  1.4500 cm

Explanation
OCEAN METHOD explanation: Decimal is ABSENT - so Atlantic OCEAN (right side of number) - find the first number that is not a zero, it is a (5) - once it is found that number is significant and everything after it is also significant
RULES METHOD: Trailing zeros are only significant if there is a decimal.
RULE METHOD explanation: RULE 4) Trailing zeros are only significant if there is a decimal

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• 4.

### How many significant figures are in:  7.108e2 cm

Explanation
OCEAN METHOD: Decimal is ABSENT - so Atlantic OCEAN (right side of number) - find the first number that is not a zero, it is an (8) - once it is found that number is significant and everything after it is also significant
RULES METHOD: Zeros sandwiched between numbers 1 thru 9 are significant.
RULES METHOD: RULE 2) Zeros smashed between 1-9 are significant.

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• 5.

### How many significant figures are in:  14.6 cm

Explanation
OCEAN METHOD explaination: Decimal is PRESENT - so PACIFIC OCEAN (left side of number) - find the first number that is not a zero, it is a (1) - once it is found that number is significant and everything after it is also significant
RULES METHOD explaination: The numbers 1 thru 9 are always significant
RULES METHOD: RULE 1) Numbers 1,2,3,4,5,6,7,8,9 are ALWAYS significant.

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• 6.

### How many sig figs are in the measurement 100 miles?

Explanation
OCEANS explanation: the decimcal if absent, so start on the Atlantic ocean side and find your first number that is a 1,2,3,4,5,6,7,8,9. The 1 is the only number that qualifies.
RULES explanation: Trailing zeros are only significant if there is a decimal. No decimal, so those 2 zeros are not significant.

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• 7.

### There are 512 students enrolled at Bushland HS.  How many sig figs are in that number?

Explanation
Sig figs are only in measurements. You can count students, counting is NOT a measurement.

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• 8.

### Only __________ have sig figs?

Explanation
Sig figs, or significant figures, are a way to indicate the precision or accuracy of a measurement. They are used to show the number of reliable digits in a measurement. Therefore, only measurements have significant figures, as they are the values that are being measured and have a certain level of precision associated with them. Other types of data or information may not have sig figs as they may not involve measurements or quantifiable values.

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• 9.

### Which measurement has 6 sig figs?

• A.

100000 meters

• B.

654321 people

• C.

5.47832 centimeters

• D.

0.00092 mililiters

C. 5.47832 centimeters
Explanation
The question says find the measurement with 6 sig figs. The number of people is not a measurement. It is a counting number.

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• 10.

### There are 420 apples on the apple tree.   420 apples has 2 sig figs.

• A.

True

• B.

False

B. False
Explanation
Only measurements have sig figs. 420 apples has NO sig figs because it is NOT a measurement. Things you can count do NOT have sig figs. Counting is not a measurement

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• 11.

### Find all numbers with no sig figs.

• A.

0.20 miles

• B.

5.5 e2 cm

• C.

2.3e1 atoms

• D.

34 liters

• E.

0.10 cents

C. 2.3e1 atoms
E. 0.10 cents
Explanation
Only measurements have sig figs. Atoms and cents are not measurements, therefore do not have sig figs.

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• Current Version
• Mar 20, 2023
Quiz Edited by
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• Sep 11, 2015
Quiz Created by
Kyle Pearson

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