Concept:Use place value to express decimals as powers of
10, then simplify using exponent laws.
Explanation:Change each decimal to a whole number times a power of
10.
0.00492=492×10−5, because the decimal point moves
5 places to the right.
0.041=41×10−3, because the decimal point moves
3 places to the right.
Set up the division:
0.0410.00492=41×10−3492×10−5.Divide the coefficients first:
492÷41=12.
Now simplify the powers of
10 using
anam=am−n:
10−310−5=10−5−(−3)=10−2.Multiply the results:
12×10−2=0.12.Since
10−2 means shifting the decimal point
2 places left,
12×10−2=0.12.
Answer:0.12, which is option B.