Carcass wrote:
Which of the following are equal to 12.12 × 10^{–3} ?
Indicate all such values.
A. –1.21 × 10^3
B. 0.012
C. 0.00001212 × 10^3
D. 0.01212 × 10^3
Useful properties:
PROPERTY #1: If we multiply N be 10^k (where k is POSITIVE), then we move N's decimal point k spaces to the RIGHT. For example, 88.123456 x 10^4 = 881234.56
PROPERTY #2: If we multiply N be 10^k (where k is NEGATIVE), then we move N's decimal point k spaces to the LEFT. For example, 1234.5678 x 10^(-3) = 1.2345678
Applying the 2nd property, we get:
12.12 × 10^{–3}=0000012.12 × 10^{–3}=0.01212-----------------------------
Now evaluate the answer choices....
A.
–1.21 × 10^3=-1210. Does NOT equal
0.01212.
B.
0.012. Does NOT equal
0.01212.
C.
0.00001212 × 10^3=0.01212.
YES this IS equal to
0.01212.
D.
0.01212 × 10^3=12.12[/quote]. Does NOT equal
0.01212.
Answer: C
Cheers,
Brent