Convert 0.045 to scientific notation.
a)4.5 x 10-2
b) 4.5 x 102
c) 4.05 x 10-2
d) 4.5 x 10-3
Explanation:The decimal point moves 2 spaces to the left to be placed before 4, which is the first non-zero number. Thus its 4.5x102 .The answer is in negative since the decimal moved left.
Convert 204 to scientific notation.
a)2.04 x 10-2
b) 0.204 x 102
c) 2.04 x 103
d) 2.04 x 102
Explanation: The decimal point moves 2 spaces right to be placed after 2, which is the first non-zero number. Thus it is 2.04 x 102
Convert 0.00002011 to scientific notation.
a) 2.011 x 10-4
b) 2.011 x 105
c) 2.011 x 10-6
d) 2.011 x 10-5
Explanation: The decimal point moves 5 places left to be placed after 2, which is the first non-zero number. Thus its 2.011 x 10-5 The answer is in the negative because the decimal moved left.
Convert this scientific notation back to its original number: 2.63 x 10-2
a) 0.00263
b) 0.0263
c) 0.263
d) 2.63
Explanation: The scientific notation is in the negative so we shift the decimal 2 places to the left. Thus its 0.0263.
Convert this scientific notation back to its original number: 5.63 x 106
a)5,630,000
b) 563,000
c) 5630
d) 0.000005.630
Explanation: The scientific notation is in the positive so we shift the decimal 6 places to the right. Thus it is 5,630,000.
Scientific notation of 405,000 is………..
a) 4.05 × 105
b) 40.5 × 105
c) 405. × 105
d) 4050. × 105
