Concept explainers
Express each of the following numbers using scientific notation, then carry out the multiplication. Express each answer using scientific notation.
a.
b.
c.
d.
(a)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a non-exponential term and exponential term in the form of
Answer to Problem 1.57E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplication can be expressed as follows:
The answer of the given multiplication can be calculated as follows:
Hence, the answer of the given multiplication is
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
(b)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a non-exponential term and exponential term in the form of
Answer to Problem 1.57E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplications can be expressed as follows:
The answer of the given multiplication can be calculated as follows:
The above answer is adjusted to a standard position. The decimal is shifted one place to the left and the power of
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
(c)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a non-exponential term and exponential term in the form of
Answer to Problem 1.57E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplications can be expressed as follows:
The answer of the given multiplication can be calculated as follows:
Hence, the answer of the given multiplication is
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
(d)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a non-exponential term and exponential term in the form of
Answer to Problem 1.57E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplications can be expressed as follows:
The answer of the given multiplication can be calculated as follows:
The above answer is adjusted to a standard position. The decimal is shifted towards one place left and the power of
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
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