Sig Figs

Question 1

What is 34,000,000 in Scientific notation?

Answer 1

3.1 x 10 to the power of 7

Question 2

What is scientific notation

Answer 2

Scientific notation is the method of writing numbers in exponential form. A positive exponent means its a large number. A negative exponent means its a small number (less than 1).

Question 3

What is 300,000,000 m/s in Scientific Notation.

Answer 3

3 x 10 to the power of 8

Question 4

What is 8,000 in scientific notation

Answer 4

8.0 x 10 to the power of 3

Question 5

What is 35,000

Answer 5

3.5 x 10 to the power of 4

Question 6

What is 785,000

Answer 6

7.85 x 10 to the power of 5

Question 7

What is 0.0006

Answer 7

6 x10 to the power of negative 4

Question 8

What is 0.0000613

Answer 8

6.13 x 10 to the power of negative 5

Question 9

What is 0.00713

Answer 9

7.13 x 10 to the power of negative 3

Question 10

What is 0.000062

Answer 10

6.2 x 10 to the power of negative 5

Question 11

3 rules of Exponents.

Answer 11

1. Place the decimal point so that there is one non-zero digital to the left of the decimal point.
2. Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10.
3. If the original number was less than 1, the exponent will be negative. If the original number was greater than 1, then the exponent is positive.

Question 12

6 rules of Significant Figures

Answer 12

1. All non zero digits are significant. Every single one of them
2. Leading zeros (aka place holding zeros) are not significant.
3. Embedded zeros (zeros between 2 non zeros) are always significant.
4. Trailing zeros are significant only if the decimal point if specified
5. Exact numbers ( ex: 10 people) have an infinite number of significant figures
6. Conversions factors do not effect significant figures.

Question 13

0.078040 How many sig figs are in this number?

Answer 13

5

Question 14

1.400 How many sig figs?

Answer 14

4

Question 15

221 How many sig figs?

Answer 15

3

Question 16

0.003 How many sig figs?

Answer 16

1

Question 17

5201 How many sig figs?

Answer 17

4

Question 18

0.3067 How many sig figs?

Answer 18

4

Question 19

320 How many sig figs?

Answer 19

2

Question 20

8.100 x 10 to the power of 5 How many sig figs?

Answer 20

5

Question 21

4.0 x 10 to the power of negative 3 How many sig figs?

Answer 21

2

Question 22

22, 100,000 How many sig figs?

Answer 22

3

Question 23

22,100,000.0 How many sig figs?

Answer 23

9

Question 24

Multiplying/Dividing Sig Figs rules.

Answer 24

Round to the least number of sig figs in the calculation. Example. 27x431=11,637 *round to the least number of sig figs. Therefore 12,000.
Example 2: 1.094/12=0.0911667etc round to the least number of sig figs =0.091
Important: We don’t want our answers to be more precise than our starting values.

Question 25

27x653=17,145 What is the correct rounded answer?

Answer 25

17,000 we round to two sig figs.

Question 26

Addition/subtraction of sig figs.

Answer 26

Round to the place value location of the number with the least precise final significant digit contained in the calculation, whether it is a decimal place or a whole number. This method is more about Where the final sig fig is in each numeral.
Important note: the rules for adding/subtracting sig figs apply equally to whole numbers as they do for decimal numbers.

Question 27

25.4+472.32

Answer 27

497.7

Question 28

1.901+2.09

Answer 28

3.99

Question 29

1.63-0.2

Answer 29

1.4

Question 30

37.438-6.50

Answer 30

30.94

Question 31

0.0500x25.600

Answer 31

1.28

Question 32

15/3.28671

Answer 32

4.6

Question 33

479x37.6

Answer 33

1.80 x 10 to the power of 4