We have seen that numbers are either rational or irrational and we have see how to round-off numbers. However, in a calculation that has many steps, it is best to leave the rounding off right until the end.
For example, if you were asked to write
as a decimal number correct to two decimal places, there are two ways of doing this.
Method 1
Method 2
In the example we see that Method 1 gives 8,66 as an answer while Method 2 gives 8,65 as an answer. The answer of Method 1 is more accurate because the expression was simplified as much as possible before the answer was rounded-off.
In general, it is best to simplify any expression as much as possible, before using your calculator to work out the answer in decimal notation.
Simplification and accuracy
It is best to simplify all expressions as much as possible before rounding-off answers. This maintains the accuracy of your answer.
Calculate
. Write the answer to three decimal places.
to three decimal places.
Calculate
if
. Write the answer to two decimal places.
(to two decimal places) if
.
Significant figures - extension
In a number, each non-zero digit is a
significant figure. Zeroes are only counted if they are between two non-zerodigits or are at the end of the decimal part. For example, the number 2000 has
1 significant figure (the 2), but
has 5 significant figures. Estimating
a number works by removing significant figures from your number (starting fromthe right) until you have the desired number of significant figures, rounding as
you go. For example
has 4 significant figures, but if you wish to write
it to 3 significant figures it would mean removing the 7 and rounding up, so itwould be
. It is important to know when to estimate a number and when not
to. It is usually good practise to only estimate numbers when it is absolutelynecessary, and to instead use symbols to represent certain irrational numbers
(such as
); approximating them only at the very end of a calculation. If it
is necessary to approximate a number in the middle of a calculation, then it isoften good enough to approximate to a few decimal places.
End of chapter exercises
Calculate:
to three decimal places
to one decimal place
to two decimal places
to two decimal places
to six decimal places
to one decimal place
Calculate:
, if
. Write the answer to four decimal places.
, if
. Write the answer to two decimal places.
, if
. Write the answer to eight decimal places.
, if
. Write the answer to five decimal places.
, if
. Write the answer to six decimal places.
f)
, if
. Write the answer to one decimal place
Questions & Answers
I'm interested in biological psychology and cognitive psychology
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills