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OpenStudy (anonymous):
How do you write the standard number -759.82 in exponential notation?
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OpenStudy (anonymous):
-7(102) + -5(101) + -9(100) + -8(10-1) + -2(10-2)
-7(104) + -5(103) + -9(102) + -8(101) + -2(100)
-7(103) + -5(102) + -9(101) + -8(100) + -2(10-1)
-7(101) + -5(100) + -9(10-1) + -8(10-2) + -2(10-3)
OpenStudy (michele_laino):
hint:
\[759.82 = 700 + 50 + 9 + 0.8 + 0.02\]
OpenStudy (anonymous):
-7(102) + -5(101) + -9(100) + -8(10-1) + -2(10-2) this one?
OpenStudy (michele_laino):
that's right!
OpenStudy (anonymous):
Thanks, do you think you could help me with more?
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OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
Write the number 3,430 x 10-8 in scientific notation.
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
hint:
\[3,430 = 3.4 \times {10^3}\]
OpenStudy (michele_laino):
oops...I have made an error:
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OpenStudy (michele_laino):
\[3,430 = 3.43 \times {10^3}\]
OpenStudy (anonymous):
34.3 x 10-5
OpenStudy (michele_laino):
3.43 x 10^(-5)
OpenStudy (michele_laino):
since we have:
\[3,430 \times {10^{ - 8}} = 3.43 \times {10^3} \times {10^{ - 8}} = 3.43 \times {10^{ - 5}}\]
OpenStudy (anonymous):
Oh my bad, put the decimal in the wrong place!
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