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We learned in previous lessons to write
large numbers in scientific notation
and small numbers in scientific notation.
Now we will translate numbers from
scientific notation to standard notation.
We'll concentrate on numbers with a
positive exponent first...
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 The
rule is, if there is a positive exponent, we move the decimal
point to the right the amount of places the exponent tells us to. |
Take, for example, the number
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We must move the decimal point to
the right 7 places. The number in standard form is 52,500,000. |
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We need to move the decimal point
to the right 4 places. Remember in any whole number, the
decimal is at the end. So after we move the decimal over 4
places, the number in standard form is 80,000. |
Now let's work with numbers in
scientific notation with negative exponents.
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When the exponents are negative, to
write the number in standard form, we move the decimal point to the
left however many times the exponent tells us to. |
Let's look at the number
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We must move the decimal point to
the left 5 places. Remember the decimal is at the right of the
2 right now. The number in standard form is 0.00002. |
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We need to move the decimal point 6
places to the left to rewrite the number in standard form. The
new number is 0.0000031. |
Ready to
practice?
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