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"Division of Rational Numbers" Rational Numbers and Their Operations PPT Courseware
teaching objectives:
1. Understand the rules of rational number division and be able to perform rational number division operations.
2. Be able to find the reciprocal of rational numbers.
review:
1. What is the meaning of division learned in elementary school? How does it relate to multiplication?
2. What is the meaning of counting backwards that we learned in elementary school?
For rational numbers we still have: two numbers whose product is 1 are reciprocals of each other.
Give it a try:
(1)(-18)÷3 (2)5÷(-1/5)
(3)(-27)÷(-9) (4)0÷(-2)
(5)(-1/7)÷(-2/7) (6)(-6)÷(-4)÷(-3/5)
Observe the above expressions and pay attention to the relationship between the sign and absolute value of the quotient and the dividend and divisor. Can you get a division rule similar to the rational number multiplication rule?
The second method of dividing rational numbers:
1. When dividing two numbers, if they have the same sign, they will get _____, if they have different signs, they will get _____, and the absolute value will be _____.
2. Zero divided by any non-zero number equals zero.
The two methods can be flexibly selected according to specific circumstances. Generally speaking:
1. In the case of divisibility, it is relatively simple to apply the second method.
2. When it cannot be divided evenly, it is relatively simple to apply the first method.
3. Especially when the divisor is a fraction, it is more convenient to convert it into multiplication.
4. When performing mixed operations of multiplication and division, division is generally converted into multiplication, the sign of the product is determined first, and the result is finally calculated.
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"Division of Rational Numbers" PPT courseware:
"Division of Rational Numbers" PPT courseware, please try to fill in the blanks: 2(-3)= (-6) 2=______ (-4) (-3)= 12(-4)=______ 89= 729=_______ (-5 ) 7/5= (-7) (-5)=______ 0 (-6)= 0 (-6)=______ Combine the above formulas to get...
"Division of Rational Numbers" Rational Numbers and Their Operations PPT Courseware 2:
"Division of Rational Numbers" Rational Numbers and Their Operations PPT Courseware 2 Teaching Objectives: 1. Understand the rules of division of rational numbers and be able to perform division operations of rational numbers. 2. Be able to find the reciprocal of rational numbers. When two numbers are multiplied together, the numbers with the same sign are positive, and the numbers with different signs are negative, and the absolute values are multiplied together. ..