Lesson - Scientific Notation & Significant Digits

Question 1

Scientific notation

Answer 1

s used to represent very big or very small numbers

ex: a x 10 n where 1< a < 10

Question 2

0.0001
0.001
0.01
0.1
1
10
100
1 000
10 000

Answer 2

1x10-4
1x10-3
1x10-2
1x10-1
1x100
1x101
1x102
1x103
1x104

Question 3

how to write number in sci notation: Write the number 365 000 in scientific notation.

Answer 3

-Start counting digits from the tens column. This gives you the exponent.

-Place the decimal point after the first non-zero digit

-Therefore, in scientific notation, the number is 3.65x105

Question 4

Write the number 0.0000207 in scientific notation.

Answer 4

Start counting digits immediately after the original decimal, and stop after the first non-zero digit is counted. This gives you the exponent.

-Place the decimal point after the first non-zero digit

-Therefore, in scientific notation, the number is 2.07x10-5

Question 5

Write 7.0532x109 as a number.

Answer 5

Exponent of 9 means that there are 10 total digits

Therefore, the number is 7 053 200 000

Question 6

In a measured or calculated value, significant digits are….

Answer 6

the digits that are reliably known

We know the measurement is somewhere between 27.6 and 27.7 mL

Last digit is estimated, but is consider to be reliably known :27.68 mL

So, this measurement has FOUR significant digits

Question 7

In a given value, all digits are significant EXCEPT:

Answer 7

All leading zeros
i.e 0.00051200

Trailing zeros if a decimal point is not present

7 430 000 kg

Question 8

Significant digits only apply to…

Answer 8

measurements

Question 9

True or false…Counted and defined values have INFINITE significant digits

Answer 9

TRUE