Mathematics
7 Online
OpenStudy (deathslasher99):
scientific notation
123.4 x 102
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OpenStudy (fibonaccichick666):
So really you have \[123.4~\times~10^2\]
OpenStudy (fibonaccichick666):
for scientific notation, it is always of the form \[a.bcdef... \times 10^2\]
OpenStudy (fibonaccichick666):
but we want it to look like \[1.234 \times 10^{?}\]
OpenStudy (fibonaccichick666):
So how id I move the decimal point
OpenStudy (deathslasher99):
2 times to the left
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OpenStudy (fibonaccichick666):
\[1.234×10^{2+?}\]
OpenStudy (fibonaccichick666):
So since left is negative the ?=-2
OpenStudy (fibonaccichick666):
\[1.234\times 10^{2+-2}\]
OpenStudy (fibonaccichick666):
good so we have \[1.234\times 10^0\]
OpenStudy (fibonaccichick666):
so since everything to the zero power =1, we get \[1.234 \times 1\]
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OpenStudy (fibonaccichick666):
what's that simplify to?
OpenStudy (deathslasher99):
1.234
OpenStudy (agent0smith):
@FibonacciChick666 the exponent is a positive 2, not negative
OpenStudy (fibonaccichick666):
whoops, I was trying to have an algorithm for the left right decimal movement
OpenStudy (fibonaccichick666):
whoopsie, the ?= 2
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OpenStudy (fibonaccichick666):
since we are condensing so we have \[1.234 \times 10^{2+2}\]
OpenStudy (fibonaccichick666):
good so since it's 4, we get \[1.234 \times 10^4\]
OpenStudy (robtobey2):
\[123.4 * 102=12586.8=1.25868 * 10^4 \]