Scientific Notation

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Scientific Notation

• Quick Review

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Question 1
Write 4,776 in scientific notation
Place the decimal immediately to the right of the
left-most non-zero number. This should give you a
number between one and ten.
4.776
Count the number of digits between the old and
the new decimal point, this gives the power, n
of 10 (10n).
4 776
X 103
3 Digits
Since the decimal is shifted to the left, the
exponent is positive.
4.776 x 103
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Question 2
Write 0.0246 in scientific notation
Place the decimal immediately to the right of the
left-most non-zero number. This should give you a
number between one and ten
2.46
Count the number of digits between the old and
the new decimal point, this gives the power, n
of 10 (10n).
0 02 46
X 10-2
2 Digits
Since the decimal is shifted to the right, the
exponent is negative.
2.46 x 10-2
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Question 3
Write 4.953 x 104 in standard form
Write the decimal number.
4.953
Move the decimal the number of places specified
by the powers of ten to the right since it is
positive.
4 9530
X 104
4 Places
Rewrite the number in integer/standard form.
49,530
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Question 4
Write 8.397 x 10-1 in standard form
Write the decimal number.
8.397
Move the decimal the number of places specified
by the powers of ten to the left since it is
negative.
0 8 397
X 10-1
1 Place
Rewrite the number in integer/standard form.
0.8397