Coconut Farm

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Multiplication and division are inverse operations. If 5 × 7 = 35, then we can write two division facts: 35 ÷ 5 = 7 and 35 ÷ 7 = 5. Every multiplication fact gives us two related division facts.

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N = D × Q + R, where N is the dividend (number being divided), D is the divisor, Q is the quotient (answer), and R is the remainder (what's left over).

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30 × 30 = 900. The two division statements are: 900 ÷ 30 = 30 and 900 ÷ 30 = 30. (Since both factors are the same, both division facts are identical.)

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When dividing by 10, the digits shift one place to the right (or we remove one zero from the right). Dividing by 10 makes numbers 10 times smaller. Each answer has one less zero than the dividend.

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Distance per day = Total distance ÷ Number of days = 160 ÷ 20 = 8 km. Sabina cycles 8 km each day.

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Number of ₹100 notes = Total amount ÷ Value of each note = 4200 ÷ 100 = 42 notes. Seema needs 42 notes of ₹100.

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Break 1992 as 2000 - 8. Then: 2000 ÷ 4 = 500 and 8 ÷ 4 = 2. So, 1992 ÷ 4 = 500 - 2 = 498. This strategy works by breaking the dividend into easier parts.

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To divide by 4, halve twice: Half of 128 = 64, Half of 64 = 32. So 128 ÷ 4 = 32. This works because dividing by 4 is the same as halving twice (4 = 2 × 2).