Questions: 10^(-14) is smaller than 10^(-1) a) True b) False

Transcript text: $10^{-14}$ is smaller than $10^{-1}$ a) True b) False

Solution

Step 1: Define the Numbers

We start by defining the numbers $10^{-14}$ and $10^{-1}$.

Step 2: Convert to Decimal Form

Convert the numbers to their decimal form: \[ 10^{-14} = 1 \times 10^{-14} = 0.00000000000001 \] \[ 10^{-1} = 1 \times 10^{-1} = 0.1 \]

Step 3: Compare the Numbers

Compare the two decimal numbers: \[ 0.00000000000001 < 0.1 \]

$\boxed{\text{a) True}}$

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