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Evaluate: 0.000595 div 0.017...

Evaluate:
`0.000595 div 0.017`

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The correct Answer is:
To evaluate \( 0.000595 \div 0.017 \), we can follow these steps: ### Step 1: Remove the decimals To eliminate the decimals, we can multiply both the numerator and the denominator by 1000 (since 0.000595 has 6 decimal places and 0.017 has 3 decimal places, we can multiply by 1000 to make the calculations easier). \[ \frac{0.000595 \times 1000}{0.017 \times 1000} = \frac{0.595}{17} \] ### Step 2: Simplify the fraction Now we need to simplify \( \frac{0.595}{17} \). ### Step 3: Convert 0.595 to a whole number To make the division easier, we can convert 0.595 to a whole number by multiplying by 1000: \[ 0.595 = \frac{595}{1000} \] Thus, we can rewrite our division as: \[ \frac{595}{17 \times 1000} \] ### Step 4: Divide 595 by 17 Now we need to perform the division \( 595 \div 17 \). 1. 17 goes into 59 three times (since \( 17 \times 3 = 51 \)). 2. Subtract \( 51 \) from \( 59 \) to get a remainder of \( 8 \). 3. Bring down the next digit (5), making it \( 85 \). 4. 17 goes into 85 five times (since \( 17 \times 5 = 85 \)). 5. Subtract \( 85 \) from \( 85 \) to get a remainder of \( 0 \). So, \( 595 \div 17 = 35 \). ### Step 5: Write the result as a decimal Now we have: \[ \frac{595}{17} = 35 \] Since we multiplied the denominator by 1000, we need to adjust our result: \[ \frac{35}{1000} = 0.035 \] ### Final Answer Thus, the final result of \( 0.000595 \div 0.017 \) is: \[ \boxed{0.035} \] ---
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