Division Study Guide

Division is a fundamental operation in mathematics that involves the distribution of a quantity into equal parts. It is the opposite of multiplication and is used to find out how many times one number (the divisor) is contained within another number (the dividend).

Key Terms:

• Dividend: The number being divided.
• Divisor: The number by which the dividend is divided.
• Quotient: The result of the division.
• Remainder: The amount left over after division that cannot be evenly divided by the divisor.

Methods of Division:

1. Long Division: A method of dividing one number by another using repeated subtraction and bringing down digits.
2. Short Division: A quicker method of division, often used for simpler problems or with smaller numbers.
3. Division with Decimals: Division involving numbers with decimal points.

Division Properties:

• Identity Property: The quotient of any number divided by 1 is the number itself.
• Zero Property: The quotient of 0 divided by any number is 0.
• Division by Zero: Division by zero is undefined in mathematics.

Division Practice:

Here are some sample division problems to practice:

1. Divide 56 by 7.
2. Find the quotient of 120 divided by 5.
3. What is the remainder when 27 is divided by 4?

Division Rules:

• To divide by a power of 10, simply move the decimal point to the left the same number of places as the number of zeros in the power of 10.
• To check your division, multiply the quotient by the divisor and add the remainder, if any. The result should be equal to the dividend.

By understanding the principles and practicing division problems, you can become proficient in this fundamental mathematical operation.

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