MindMap Gallery rational number arithmetic
Rational Number Operation Rules 11-14 Mathematics Review Mind Map, this mind map helps you to familiarize yourself with the key points of knowledge, facilitate understanding, and enhance memory. Students in need can save it.
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Chronic heart failure is not just a problem of the speed of heart rate! It is caused by the decrease in myocardial contraction and diastolic function, which leads to insufficient cardiac output, which in turn causes congestion in the pulmonary circulation and congestion in the systemic circulation. From causes, inducement to compensation mechanisms, the pathophysiological processes of heart failure are complex and diverse. By controlling edema, reducing the heart's front and afterload, improving cardiac comfort function, and preventing and treating basic causes, we can effectively respond to this challenge. Only by understanding the mechanisms and clinical manifestations of heart failure and mastering prevention and treatment strategies can we better protect heart health.
Ischemia-reperfusion injury is a phenomenon that cellular function and metabolic disorders and structural damage will worsen after organs or tissues restore blood supply. Its main mechanisms include increased free radical generation, calcium overload, and the role of microvascular and leukocytes. The heart and brain are common damaged organs, manifested as changes in myocardial metabolism and ultrastructural changes, decreased cardiac function, etc. Prevention and control measures include removing free radicals, reducing calcium overload, improving metabolism and controlling reperfusion conditions, such as low sodium, low temperature, low pressure, etc. Understanding these mechanisms can help develop effective treatment options and alleviate ischemic injury.
Rumi: 10 dimensions of spiritual awakening. When you stop looking for yourself, you will find the entire universe because what you are looking for is also looking for you. Anything you do persevere every day can open a door to the depths of your spirit. In silence, I slipped into the secret realm, and I enjoyed everything to observe the magic around me, and didn't make any noise. Why do you like to crawl when you are born with wings? The soul has its own ears and can hear things that the mind cannot understand. Seek inward for the answer to everything, everything in the universe is in you. Lovers do not end up meeting somewhere, and there is no parting in this world. A wound is where light enters your heart.
Chronic heart failure is not just a problem of the speed of heart rate! It is caused by the decrease in myocardial contraction and diastolic function, which leads to insufficient cardiac output, which in turn causes congestion in the pulmonary circulation and congestion in the systemic circulation. From causes, inducement to compensation mechanisms, the pathophysiological processes of heart failure are complex and diverse. By controlling edema, reducing the heart's front and afterload, improving cardiac comfort function, and preventing and treating basic causes, we can effectively respond to this challenge. Only by understanding the mechanisms and clinical manifestations of heart failure and mastering prevention and treatment strategies can we better protect heart health.
Ischemia-reperfusion injury is a phenomenon that cellular function and metabolic disorders and structural damage will worsen after organs or tissues restore blood supply. Its main mechanisms include increased free radical generation, calcium overload, and the role of microvascular and leukocytes. The heart and brain are common damaged organs, manifested as changes in myocardial metabolism and ultrastructural changes, decreased cardiac function, etc. Prevention and control measures include removing free radicals, reducing calcium overload, improving metabolism and controlling reperfusion conditions, such as low sodium, low temperature, low pressure, etc. Understanding these mechanisms can help develop effective treatment options and alleviate ischemic injury.
rational number arithmetic
Addition of rational numbers
Simple algorithm for adding rational numbers
commutative law of addition
additive associative law
Round up the odd bits
Concentration of the same number
Adding with the same denominator
Add items apart
Addition of rational numbers
different symbols
The absolute values are the same and the result is zero.
If the absolute values are different, the sign with the larger absolute value is taken, and the larger absolute value is subtracted from the smaller absolute value.
The signs are the same, take that sign and add the absolute values.
subtraction of rational numbers
subtraction rule
Subtracting a number is equal to adding its opposite
Operation steps
1. Change subtraction operation to addition
2. Use the addition rule to calculate
Mixed operations of addition and subtraction of rational numbers
algebraic sum
The connection symbol is
meaning
Such as: 16-2 4-7 The algebraic sum is: 16 (-2) 4 (-7) The meaning is read as: the sum of positive 16, negative 2, positive 4, and negative 7
Form that omits plus signs and parentheses
meaning of operation
How to omit parentheses
If the parentheses are preceded by , then all items in the original remain unchanged.
If there is - before the parentheses, the symbols of the items in the original parentheses become the opposite symbols.
Reserved property symbol
Such as: 16 (-2) 4 (-7) Form omitting plus signs and parentheses: 16-2 4-7 According to the meaning of operation, it is read as: 16 minus 2 plus 4 minus 7
Operation steps
1. Subtraction is unified into addition
2. Written omitting the plus sign and parentheses
3. Use the laws of arithmetic to simplify calculations
multiplication of rational numbers
multiplication rule
The same signs are positive, and the absolute values are multiplied together.
Different signs are negative, and the absolute values are multiplied.
0 multiplied by any number is 0
Two numbers whose product is one are reciprocals of each other
reciprocal
If ab=1, then a and b are reciprocals of each other
0 has no countdown
The reciprocal of a is 1/a (a≠0)
Two rational numbers whose product is -1 are negative reciprocals of each other.
Two positive and reciprocal signs are the same
The number whose reciprocal is equal to itself has ±1
Operation steps
1. Fixed number
2. Evaluation
Rational division
Rule 1: When dividing two rational numbers, if they have the same sign, they will be positive, if they have different signs, they will be negative. And divide the absolute values.
Rule 2: Dividing a number equals the reciprocal of that number
0÷Any number is 0, 0 cannot be used as a divisor