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Authoritative PPT Summary
"Real Numbers" PPT courseware
Write each of the following numbers in decimal form. What do you find?
In fact, any rational number can be written as a finite decimal or an infinite recurring decimal.
In turn, any finite decimal or infinitely repeating decimal is also a rational number
In addition to finite decimals and infinitely repeating decimals, are there any other types of decimals?
Characteristics of irrational numbers:
1. Pi and some numbers containing π
2. There are countless squares to open
Note: Numbers with a root sign are not necessarily irrational.
3． Infinite decimals that have certain rules but do not cycle
0.1010010001......
Practice in class
1. Judgment:
1. Real numbers are either rational or irrational. ( )
2. Irrational numbers are infinite non-repeating decimals. ( )
3. Irrational numbers are infinite decimals. ( )
4. Numbers with a root sign are irrational. ( )
5. Irrational numbers must always have a root sign. ( )
6. The product of two irrational numbers is not necessarily an irrational number. ( )
7. The sum of two irrational numbers must be an irrational number. ( )
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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...