Concept explainers
(a)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will placed after first digit and the exponent of the power of 10 is positive that is + 2 imply two digits are present after decimal.
Explanation of Solution
The given number is
(b)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will move eleven places to the right and the exponent of the power of 10 is negative that is -11.
Explanation of Solution
The given number is
(c)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will placed after first digit and the exponent of the power of 10 is positive that is + 3 imply three digits are present after decimal.
Explanation of Solution
The given number is
(d)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will move five places to the right and the exponent of the power of 10 is negative that is -5.
Explanation of Solution
The given number is
(e)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will placed after first digit and the exponent of the power of 10 is positive that is + 5 imply five digits are present after decimal.
Explanation of Solution
The given number is
(f)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The exponent of the power of 10 is zero.
Explanation of Solution
The given number is
(g)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will move one place to the right and the exponent of the power of 10 is negative that is -1.
Explanation of Solution
The given number is
(h)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
Answer to Problem 116AP
The decimal will move seven places to the right and the exponent of the power of 10 is negative that is -7.
Explanation of Solution
The given number is
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