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Fill in the blanks. Q 1.0014/14 =……...

Fill in the blanks.
Q 1.0014/14 =……

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To solve the problem \( \frac{1.0014}{14} \), we will follow these steps: ### Step 1: Remove the Decimal To make the division easier, we can eliminate the decimal by multiplying both the numerator and the denominator by 10,000 (since there are four decimal places in 1.0014). \[ \frac{1.0014 \times 10000}{14 \times 10000} = \frac{10014}{140000} \] ### Step 2: Perform the Division Now we need to divide 10014 by 14. 1. **Divide 100 by 14**: - 14 goes into 100 seven times (since \( 14 \times 7 = 98 \)). - Subtract 98 from 100, which leaves us with 2. 2. **Bring down the next digit (1)**: - Now we have 21. - 14 goes into 21 once (since \( 14 \times 1 = 14 \)). - Subtract 14 from 21, which leaves us with 7. 3. **Bring down the next digit (4)**: - Now we have 74. - 14 goes into 74 five times (since \( 14 \times 5 = 70 \)). - Subtract 70 from 74, which leaves us with 4. 4. **Bring down a zero**: - Now we have 40. - 14 goes into 40 two times (since \( 14 \times 2 = 28 \)). - Subtract 28 from 40, which leaves us with 12. 5. **Bring down another zero**: - Now we have 120. - 14 goes into 120 eight times (since \( 14 \times 8 = 112 \)). - Subtract 112 from 120, which leaves us with 8. 6. **Bring down another zero**: - Now we have 80. - 14 goes into 80 five times (since \( 14 \times 5 = 70 \)). - Subtract 70 from 80, which leaves us with 10. 7. **Bring down another zero**: - Now we have 100. - 14 goes into 100 seven times (since \( 14 \times 7 = 98 \)). - Subtract 98 from 100, which leaves us with 2. Continuing this process, we find that: \[ \frac{10014}{14} = 715.285714285714... \] ### Step 3: Adjust for the Decimal Since we multiplied the original fraction by 10,000, we need to adjust the decimal point in our answer. The original division \( \frac{1.0014}{14} \) corresponds to \( \frac{715.285714285714...}{10000} \). Thus, we move the decimal point four places to the left: \[ 715.285714285714... \div 10000 = 0.07152857142857... \] ### Final Answer Rounding to four decimal places, we get: \[ \frac{1.0014}{14} \approx 0.0715 \] ### Summary So, the answer to the question \( \frac{1.0014}{14} = 0.0715 \). ---
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