"Fraction" PPT courseware 7

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"Fraction" PPT courseware 7

The secret to learning math well

1. Prepare a wrong question book;

2. What is the first thing you do after math class every day? Take the time to organize notes and common mistakes;

3. Listen carefully in class and complete homework independently after class.

4. Review what you learned today before going to bed at night.

learning target:

Definition of fraction

Conditions for whether a fraction is meaningful/meaningless

Conditions for fractional value to be 0

Fraction definition

If A and B both represent integers, and B contains letters, then A/B is called a fraction. A is called the numerator of the fraction, and B is the denominator of the fraction.

To determine whether an algebraic expression is a fraction, you need to pay attention to the following points:

1. The numerator and denominator of a fraction are both integers, and the fraction can be expressed as the quotient of dividing two integers. For example: m+n/m-n can be expressed as m+n÷m-n

2. The denominator of the fraction must contain letters, and the numerator may or may not contain letters.

2. Judgment is based on the form of the original algebraic expression, and the simplified result cannot be judged. For example: x²/2x is a fraction.

3. Note that π is a constant, not a letter.

known fraction

x²-4/x+2

(1) When x has what value, the fraction is meaningless?

(2) When x has what value, does the fraction make sense?

(3) When x has what value, the value of the fraction is zero?

Solution: (1) When the denominator is equal to zero, the fraction is meaningless.

That is x+2=0

∴ x = -2

(2) From (1), when x ≠-2, the fraction is meaningful

(3) When the numerator is equal to zero and the denominator is not zero, the fraction value is zero.

Then x2 - 4=0

∴x = ±2

And x+2≠0 means x ≠ -2

∴x = 2

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For more information about the "Fractions" PPT courseware, please click the Fractions ppt tab.

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Update Time: 2024-12-02

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 1 industry PPT template

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