"Real Numbers" PPT courseware 7

Description

"Real Numbers" PPT courseware 7

learning target

(1) Understand the concepts of irrational numbers and real numbers

(2) Know the one-to-one correspondence between real numbers and points on the number axis

(3) Able to find the opposite and absolute value of real numbers.

Situation import

1. Can all rational numbers be represented by points on the number line?

2. Do all points on the number line represent rational numbers?

Any rational number can be written in the form of a finite decimal or an infinitely recurring decimal, and conversely, any finite decimal or infinitely recurring decimal is also a rational number;

Infinite non-repeating decimals are called irrational numbers;

Classroom display one

1. Determine whether the following statements are correct;

(1) Infinite decimals are all irrational numbers. ( )

(2) Irrational numbers are infinite decimals. ( )

(3) Numbers with a root sign are all irrational numbers. ( )

give it a try

(1) Can you name some irrational numbers?

(2) Every rational number can be represented by a point on the number axis, so can irrational numbers also be represented by a point on the number axis? If so, could you find a point on the number line that represents an irrational number like π?

Every irrational number can be represented on the number line.

Some points on the number line represent rational numbers and some represent irrational numbers.

Every real number can be represented by a point on the number line; conversely, every point on the number line represents a real number. That is, there is a one-to-one correspondence between real numbers and points on the number line.

Guide self-study

1. Do irrational numbers also have opposites? How to express it?

2. Is there an absolute value? How to express it?

3. Is there a countdown? How to express it?

Classroom testing

1. Real numbers are either rational or irrational. ( )

2. Irrational numbers are infinite non-repeating decimals. ( )

3. Numbers with a root sign are irrational. ( )

4. Irrational numbers are infinite decimals. ( )

5. Irrational numbers must always have a root sign. ( )

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"Real Numbers" PPT courseware 11:

"Real Numbers" PPT Courseware 11 Review Questions Can you answer the following questions? (1) The opposite of 2 is ______, the opposite of - is ______, the opposite of 0 is ______; (2) |2& #124;=______, |-| =______, |0|=______. ... ... ..

"Real Numbers" PPT courseware 10:

"Real Numbers" PPT Courseware 10 Knowledge Review 1. Irrational numbers: infinite non-recurring decimals are called irrational numbers 2. Rational numbers: finite and infinite recurring decimals are rational numbers or integers and fractions are collectively called rational numbers. Think about (1) What have you known so far? number? ..

"Real Numbers" PPT courseware 9:

"Real Numbers" PPT Courseware 9 Summary: Any rational number can be written as a finite decimal or an infinite recurring decimal. (Characteristics of rational numbers) Induction: They are infinite non-repeating decimals, so we know that they are neither integers nor fractions. We refer to this type of infinite...

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Update Time: 2024-08-15

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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