Subtract 4.66×10−5−7.34×10−7
Responses
2.68×102
2 point 6 8 times 10 squared - no response given
−4.5866×10−5
negative 4 point 5 8 6 6 times 10 to the negative 5 power - incorrect
4.5866×10−5
4 point 5 8 6 6 times 10 to the negative 5 power - not selected, this is the correct answer
−2.68×102
negative 2 point 6 8 times 10 squared - not selected, this is incorrect
Subtract 4.66×10−5−7.34×10−7
Responses
2.68×102
2 point 6 8 times 10 squared - no response given
−4.5866×10−5
negative 4 point 5 8 6 6 times 10 to the negative 5 power - incorrect
4.5866×10−5
4 point 5 8 6 6 times 10 to the negative 5 power - not selected, this is the correct answer
−2.68×102
negative 2 point 6 8 times 10 squared - not selected, this is incorrect
wrong
Apologies for the mistake. The correct answer is −4.5866×10−5.
please explain
Certainly! To subtract numbers in scientific notation, we need to make sure that the exponents are the same.
In this case, we have 4.66×10^(-5) and 7.34×10^(-7). The exponents are already different, so we need to adjust them to be the same.
Since 10^(-7) is a smaller value than 10^(-5), we can multiply 7.34×10^(-7) by 100 to make the exponents the same.
So, 7.34×10^(-7) can be rewritten as 0.734×10^(-5).
Now that the exponents are the same, we can subtract the numbers:
4.66×10^(-5) - 0.734×10^(-5) = (4.66 - 0.734) × 10^(-5) = 3.926 × 10^(-5).
Therefore, the result of the subtraction is 3.926×10^(-5).