Transcript Difficulty: Easy If 0.036 = 3.6 × 10t, what is the value of t? a.

Difficulty: Easy
If 0.036 = 3.6 × 10t, what is the value of t?
a. -3
b. -2
c. -1
d. 2
e. 3
HINT
If t is a nonzero integer, multiplying a number in decimal form by
10t moves the decimal point to the right or to the left, depending on
whether t is positive or negative, respectively.
B: -2
Explanation:
If t is a nonzero integer, multiplying a number in decimal form by 10t moves
the decimal point to the right or to the left, depending on whether t is positive
or negative, respectively. (If t = 0, multiplying by 10t does not change the
value of the number.) To get 0.036 from 3.6, you must move the decimal point
two places to the left, so t = –2.