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: \(12.12 × 10^{–3}=0000012.12 × 10^{–3}=0.01212\)
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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