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Problem #3 on pretest
Answer A
To convert 3 × 106 into regular notation:
To convert 3.0 into regular format, move the decimal point to the right 6 places. Why? Because that's what
× 106 means: multiply by a 1 with 6 zero(s) after it. And, with each zero in a multiplication, the decimal
moves to the right 1 place.
Since this number only has 1 places after the decimal, we'll have to add 5 zeros to the end of it until the
decimal point is moved 6 places to the right.
So 3.0 × 106 written in regular notation is
Answer is 3,000,000
Answer B
To convert .003 × 103 into regular notation:
To convert .003 into regular format, move the decimal point to the right 3 places. Why? Because that's what
× 103 means: multiply by a 1 with 3 zero(s) after it. And, with each zero in a multiplication, the decimal
moves to the right 1 place.
So .003 × 103 written in regular notation is
Answser is 3
***Answer C.
To convert 3 × 10-6 into regular notation:
To convert 3.0 into regular format, move the decimal point to the left 6 places. Why? Because that's what ×
10-6 means: divide by a 1 with 6 zeros after it. And, with each zero in a division, the decimal moves to the
left 1 place.
Since this number only has 2 places before the decimal, we'll have to add 5 zero(s) to the beginning of it
until the decimal point is moved 6 places to the left.
So 3.0 × 10-6 written in regular notation is
Answer is .0000030
Answer D
To convert .003 × 10-3 into regular notation:
To convert .003 into regular format, move the decimal point to the left 3 places. Why? Because that's what
× 10-3 means: divide by a 1 with 3 zeros after it. And, with each zero in a division, the decimal moves to
the left 1 place.
Since this number only has 4 places before the decimal, we'll have to add 3 zero(s) to the beginning of it
until the decimal point is moved 3 places to the left.
So .003 × 10-3 written in regular notation is
Answer is .000003