"Power of Rational Numbers" PPT courseware

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"Power of Rational Numbers" PPT courseware

Take a test:

1. The operation of finding ____________________ is called exponentiation. The result of exponentiation is called __________.

2. 2×2×2×2×2×2 is written as _______ and pronounced as ________. 2 is called _____, and 6 is called _____.

3. 7×7×7 is written as _______ and pronounced as _______. 7 is called ________ and 3 is called _____.

Can you spot the symbolic characteristics of positive and negative powers?

Example 1, calculation

①26 ②73 ③(-3)4

④(-4)3 ⑤-34

Any power of a positive number is a positive number

Negative numbers raised to odd powers are negative numbers

Negative numbers raised to even powers are positive numbers

Try it: fill in the horizontal lines with ">" or "<".

(1)22___0 23___0 (1/2)5____0

(2) (-2)2__0 (-3)4___0 (-4)6____0

(3) (-2)1 __0 (-3)3___0 (-4)5____0

(1) Give it a try (go beyond the textbook and expand)

Check whether it is true or false (check “√” or “×”)

(1) 45=4×5 ( ) (2) (-3)4=-34 ( )

(3) ( 2/3 )3= 2/27 ( ) (4) 26=62 ( )

(2) Fill in the blanks (n positive integer)

(-1)2=________ (-1)3=________

(-1)4=________ (-1)5=________

(-1)6=________ (-1)7=________

(-1)100=_______ (-1)101=______

(-1)2n=______ (-1)2n-1=_____

1. The pattern you found is___________

2. If X2=1, then X=___________

There is a piece of paper with a thickness of 0.1 mm. After folding it in half once, the thickness is 2 × 0.1 mm.

(1) After folding twice, how many millimeters is the thickness?

(2) After folding in half 20 times, how many millimeters is the thickness?

0.1×2×2×…×2=104857.6mm≈104.9m

(3) The average height of each floor is 3 meters. How high will the building be after folding this piece of paper 20 times?

104.9÷3≈35(layer)

Summary

1. Power is a special kind of multiplication.

2. Parentheses should be added when the base is a negative number or a fraction.

3. The symbol should be determined first when calculating. Correctly determine the sign of negative powers (odd negative, even positive).

4. Square = quadratic, cube = cubic.

Keywords: Teaching courseware for exponentiation of rational numbers, Qingdao edition seventh-grade mathematics PPT courseware download, seventh-grade mathematics slide courseware download, PPT courseware download for exponentiation of rational numbers, .PPT format;

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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: 2024-07-11

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 1 industry PPT template

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