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Evaluate: 0.00015 div 0.25...

Evaluate:
`0.00015 div 0.25`

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The correct Answer is:
To evaluate the expression \( 0.00015 \div 0.25 \), we can follow these steps: ### Step 1: Rewrite the division We start with the expression: \[ 0.00015 \div 0.25 \] This can be rewritten as a fraction: \[ \frac{0.00015}{0.25} \] ### Step 2: Eliminate the decimal in the denominator To eliminate the decimal in the denominator, we can multiply both the numerator and the denominator by 100 (since 0.25 has two decimal places): \[ \frac{0.00015 \times 100}{0.25 \times 100} = \frac{0.015}{25} \] ### Step 3: Convert the numerator to a whole number Next, we can convert \( 0.015 \) to a whole number by multiplying both the numerator and the denominator by 1000 (since \( 0.015 \) has three decimal places): \[ \frac{0.015 \times 1000}{25 \times 1000} = \frac{15}{25000} \] ### Step 4: Simplify the fraction Now, we simplify the fraction \( \frac{15}{25000} \). We can divide both the numerator and the denominator by 5: \[ \frac{15 \div 5}{25000 \div 5} = \frac{3}{5000} \] ### Step 5: Convert the simplified fraction to decimal To convert \( \frac{3}{5000} \) to a decimal, we perform the division: \[ 3 \div 5000 = 0.0006 \] ### Final Answer Thus, the value of \( 0.00015 \div 0.25 \) is: \[ \boxed{0.0006} \] ---
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