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Questions and Answers
What is a compatible number?
What is a compatible number?
- Numbers that are easy to compute mentally (correct)
- The number being divided in a division problem
- The amount left over when a number cannot be divided equally
- The number that divides the dividend
What does the distributive property state?
What does the distributive property state?
Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
What is a dividend?
What is a dividend?
The number that is to be divided in a division problem.
What is a divisor?
What is a divisor?
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What is a multiple?
What is a multiple?
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What is a partial quotient?
What is a partial quotient?
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What is a quotient?
What is a quotient?
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What is a remainder?
What is a remainder?
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Study Notes
Division Concepts
- Compatible Number: Easily computed numbers for mental math; e.g., 176/8 can be simplified to 160 for easier division.
- Distributive Property: Mathematical principle stating that a number multiplied by a sum is the same as multiplying the number by each addend and summing the results; e.g., 5 × (10 + 6) = (5 × 10) + (5 × 6).
Terminology in Division
- Dividend: The number being divided in a division operation; in 36/6=6, 36 is the dividend.
- Divisor: The number that divides the dividend; in 15/3=5, 3 is the divisor.
Multiples and Division Methods
- Multiple: The result of multiplying a number by a whole number; a fundamental concept in understanding division and factors.
- Partial Quotient: A division technique involving subtracting multiples of the divisor from the dividend and summing the resultant quotients for the final answer.
Outcomes of Division
- Quotient: The result of the division operation, excluding any remainder; e.g., in 35/7=5, 5 is the quotient.
- Remainder: The leftover amount when the dividend cannot be divided evenly by the divisor; important in understanding the completeness of division results.
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