"Powers of Rational Numbers" Rational Numbers PPT Courseware

Description

"Powers of Rational Numbers" Rational Numbers PPT Courseware

learning target:

Know the relationship between exponentiation and multiplication operations, and be able to perform rational number calculations

Exponential operations.

Know the concepts of base, exponent and power, and be able to find positive integer exponent powers of rational numbers

Key points:

1. Understand the meaning of exponentiation,

2. Use the exponentiation algorithm to perform exponentiation operations on rational numbers.

difficulty:

1. Be able to perform exponentiation operations of rational numbers.

2. The difference between (-a)n and -an.

Please compare the formula for the number of cells after four divisions: 2×2×2×2 with the formula for the number of cells after six divisions: 2×2×2×2×2×2.

1. What are the similarities between these two formulas?

Answer: They are both multiplications; and their respective factors are the same.

2. Students, think about it: Can such operations be abbreviated like squares and cubes?

Power: The operation of finding the product of several identical factors is called power.

Think about it:

Observing Example 1 and the calculation results of the equations on the left, can you find any rules in the signs of exponentiation operations?

Sign rules for exponentiation operations

Any power of a positive number is a positive number

Negative numbers raised to even powers are positive numbers, and odd powers raised to negative numbers are negative numbers.

Any power of 0 is 0.

summary:

What kind of operation did you learn in this class? What's your experience?

Power: The operation of finding the product of several identical factors is called power.

Rules for exponentiation:

Any power of a positive number is a positive number;

Any positive integer power of 0 is 0; odd powers of a negative number are negative numbers, and even powers of a negative number are positive numbers.

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"Power of Rational Numbers" PPT courseware 4:

"Power of Rational Numbers" PPT Courseware 4 Collaborative Exploration 1: Fold in half twice and you can cut into 4 pieces, that is, 22 pieces; Fold in half three times and you can cut into 8 pieces, that is, 222 pieces; Question: If you fold in half 10 times, how many pieces can you cut into? ? Please use a formula to express it (no need to calculate the result). If you fold it in half 100 times, the formula...

"Power of Rational Numbers" PPT courseware 3:

"Power of Rational Numbers" PPT Courseware 3 Teaching Objectives Knowledge and Skills 1. Through examples, experience the process of generating the concept of power; 2. Understand the concepts of power, power, exponent, and base, and master the representation of power and power; 3. Understand the symbolic law of power and be able to carry out rational...

"Power of Rational Numbers" PPT courseware 2:

"Powers of Rational Numbers" PPT Courseware 2 There is a piece of paper with a thickness of 1 micron. After folding it in half 50 times, please imagine how high the thickness is? ⑴ After folding twice, how many microns is the thickness? 221 ⑵ After folding it in half three times, how many microns is the thickness? 2221 ⑶ After folding in half 4 times, the thickness...

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Update Time: 2024-07-29

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 1 industry PPT template

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