Concept explainers
Express the following values using scientific notation, engineering notation, and using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal
Standard | Scientific | Engineering | With Prefix |
(a) 389,589,000 joules [J] | |||
(b) 0.0000000008 pascals [Pa] | |||
(a)
Express the given standard value
Answer to Problem 1ICA
The given standard value
Standard | Scientific | Engineering | With Prefix |
389,589,000 joules [J] |
Explanation of Solution
Given data:
The standard value is
Formula used:
Consider the general Scientific notation as,
Here,
# is single digit to the left of the decimal point which is the most significant nonzero digit,
N is an integer, and
Consider the general Engineering notation as,
Here,
M is an integer multiple of 3, and
# is the number of digits to the left of the decimal point which is one, two, or three as required to yield a power of 10 that is indeed a multiple of 3.
Calculation:
The given standard value in Joules is,
Convert the value into scientific notation using the expression in equation (1) as follows,
Convert the value into engineering notation using expression equation (2) as follows,
Consider the SI prefixes.
Convert the standard value into SI prefixes using the equation (3).
Conclusion:
Hence, the given standard value
Standard | Scientific | Engineering | With Prefix |
389,589,000 joules [J] |
(b)
Express the given standard value
Answer to Problem 1ICA
The given standard value
Standard | Scientific | Engineering | With Prefix |
0.0000000008 pascals [Pa] |
Explanation of Solution
Given data:
The standard value is
Calculation:
The given standard value in Pascal is,
Convert the value into scientific notation using the expression in equation (1) as follows,
Convert the value into engineering notation using expression in equation (2) as follows,
Consider the SI prefixes.
Convert the standard value into SI prefixes using equation (4).
Conclusion:
Hence, the given standard value
Standard | Scientific | Engineering | With Prefix |
0.0000000008 pascals [Pa] |
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