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Scientific Notation
- Convert between standard and scientific notation
- Compare numbers written in scientific notation
- Multiply numbers written in scientific notation
- Divide numbers written in scientific notation
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Compare numbers written in scientific notation
To compare two numbers given in scientific notation, first compare the exponents. The one with the greater exponent will be greater. If the exponent is the same, compare the two numbers that are being multiplied by comparing their decimals.
Compare 6.23 x 10
^{14}
and 8.912 x 10
^{12}
.
Since the exponent in the first number is greater than the exponent in the second number,
6.23x10
^{14}
is greater than 8.912x10
^{12}
.
Which is greater, 5.15 x 10
^{-4}
or 6.35 x 10
^{-5}
?
Since 4 is greater than 5, 5.15x10
^{4}
is greater than 6.35x10
^{5}
.
Compare 3.28 x 10
^{17}
and 4.25 x 10
^{17}
.
The exponents are both 17. So, we need to compare the numbers that are being multiplied. Since 4.25 is greater than 3.28, 4.25x10
^{17}
is greater than 3.28x10
^{17}
.