Chapter 2 Flashcards
(82 cards)
What are significant figures?
Those digits in a measured number that include all certain digits plus a final one having some uncertainty
A number written in scientific notation has 2 parts, what are they?
A decimal part and an exponential part
What is the decimal part of scientific notation?
A number that is between 1 and 10
What is the exponential part of scientific notation?
10 raised to an exponent, n
In 1.2 x 10^-10, what is the decimal part?
1.2
In 1.2 x 10^-10, what is the exponential part?
10^-10
What does a positive exponent mean?
1 multiplied by 10 n times
What are some examples of positive exponents and their meanings?
10^0 = 1
10^1 = 1 x 10 = 10
10^2 = 1 x 10 x 10 = 100
10^3 = 1 x 10 x 10 x 10 = 1000
What does a negative exponent (-n) mean?
1 divided by 10 n times
What are some examples of negative exponents and their meanings?
10^-1 = 1/10 = 0.1
10^-2 = 1/10x10 = 0.01
10&-3 = 1/10x10x10 = 0.001
How do you convert a number to scientific notation?
- Find all of the sig figs in the number
- Rewrite those digits as a number with 1 digit in front of the decimal point and the rest of the numbers after the decimal point
- Look at the new number you have written and count the number of places you must move the decimal point in order to get back to where the decimal point was originally located. This will be the numerical value of your exponent
If the decimal point is moved to the left when writing scientific notation, the exponent is _____
Positive
If the decimal point is moved to the right when writing scientific notation, the exponent is ______
Negative
What is an example of writing a number into scientific notation with a positive exponent?
5983 = 5.983 x 10^3
What is an example of writing a number into scientific notation with a negative exponent?
0.00034 = 3.4 x 10^-4
In the number 45.872, what numbers are certain, and which ones are estimated?
45.87 are certain and 2 is estimated
The greater the precision of the measurement, the ________
Greater the number of significant figures
All nonzero digits are significant/not significant (choose one)
Significant
Trailing zeros that fall after a decimal point are significant/not significant (choose one)
Significant
Interior zeros are significant/not significant (choose one)
Significant
Trailing zeros that fall before a decimal point are significant/not significant (choose one)
Significant
Leading zeros are significant/not significant (choose one)
NOT significantT
Trailing zeros at the end of a number but before an implied decimal point are ______
Ambiguous
What are interior zeros?
Zeros between 2 numbers