Fractional mixed operation is easy to calculate, what is the decimal mixed operation method?

Easy to calculate. Idea: If we want to do a simple calculation, we can use the distributive or associative property of multiplication.

or the properties and laws of division operations, and get the effect of our simple calculations.

The calculation process is as follows:

Therefore, the decimal mixture operation here can be obtained through the simple operation above, and the answer is 15.

Extended information: Multiplication operation: When calculating the vertical calculation multiplication operation, first calculate the first digit of one digit multiplied by another digit, then calculate the multiplication of the other digit from the low to the high digit in turn, and finally add up the obtained answers to get the final answer.

Step 1: Step 2: 1 10 = 10

This can be calculated in two steps to get the answer is 15.

Solution: Four rules of operation (calculated in order, multiplication and division first, then addition and subtraction, parentheses are counted first, and power is calculated first), that is, the off-form operation (recursive equality calculation) needs to be carried out under the premise of this principle. Problem solving process:

Extended Information Vertical Calculation - Calculation Result: First align the last digit of the two multipliers, then use the second multiplier respectively, multiply each digit by a multiplier from the last digit, and finally add up the calculated result to be the product, if the multiplier is a decimal place, it can be expanded by the corresponding multiple, and finally the product is reduced by the corresponding multiple;

Problem solving: Step 1: 1 6=6

Step 2: 8 6 = 480

According to the above calculation steps, the combination result is moved to the left by 1 decimal place, and the product is in doubt, please ask and be satisfied.

The order of operation of the four decimal operations is the same as that of the four operations of integers.

Mixed operations without parentheses: sibling operations are performed sequentially from left to right; The two-level operation first calculates multiplication and division, and then adds and subtracts.

Mixed operations with parentheses: first count the inside of the parentheses, then the inside of the middle brackets, and finally the outside of the brackets.

The meaning and nature of decimals.

1. The nature of decimals.

1. Add or remove any zero at the end of the decimal part, and the size of the decimal remains the same. For example:.

2. Move the decimal point to the right (or left) to the n digits, and the value of the decimal will expand (or shrink) to the n power of the base.

2. The meaning of decimals.

Divide a whole into several parts, 100 parts, 1000 parts, ......One or more such copies are tenths, hundredths, thousandths ......It can be expressed as a decimal. One decimal place means tenths, two decimal places mean hundredths, and three decimal places represent thousandths ......

The mixed operation of the four decimal numbers is: in the equation containing parentheses, it should be calculated in the order from the inside to the outside, and the parentheses should be counted first; sibling operations, calculated in order from left to right; There are both addition and subtraction, as well as multiplication and division, and multiplication and division must be calculated first, and then addition and subtraction; If it can be easily calculated, it can be calculated in a simple way. The order of operation of the four decimal numbers is the same as that of the mixed operation of the four integers.

Sequence of operations: In sibling operations, it is calculated from left to right; In the two-level operation, multiplication and division are calculated first, and then addition and subtraction; When there are parentheses, count the inside of the brackets first, and then the outside of the brackets. When there are multiple layers of parentheses, count the ones in the parentheses first, then the inside of the brackets, then the inside of the braces, and finally the outside of the brackets; If there is a power, the power is counted first; In a mixed arithmetic, the number in parentheses is counted first, from small to large, and if there is a power, the power is counted first, and then from the advanced to the lowest.

The simple method of mixing decimal and fraction is to convert first, then look at addition, subtraction, multiplication and division, according to the order and priority, as follows:

1. Conversion: When the decimal and fraction are mixed, the fraction that can be reduced should be reduced first, and then calculated. If there is no direct reduction between the decimal and the fraction, you can use the fractional form to convert the decimal to a fraction and then calculate it.

If you can convert between a decimal and a fraction, you can use the decimal form to convert the fraction to a decimal and then calculate it.

2. Addition, subtraction, multiplication and division:

If you need to add or subtract, you can convert both decimals and fractions to the same form. If you need to multiply, you can multiply the decimal and fraction separately and then multiply the results. If you need to do a division, you can divide the decimal and fraction separately and then divide the result.

3. Order and priority:

When performing mixed operations, you need to pay attention to the order and priority of operations. Generally speaking, the parentheses are first scrambled in bold, then multiplication and division, and finally addition and subtraction. If there are multiple parentheses, perform the innermost parenthesis arithmetic first.

Considerations for learning math:

1. Thinking: that is, recalling, recalling, thinking with your eyes closed and putting movies in your brain. The most important thing students need to do after class is to recall.

This process is very important, and almost all Tsinghua students, Peking University students, and college entrance examination champions do this. Students should set aside a certain amount of time each night before going to bed to reflect.

2. Check: Recall is currently the most effective review method recognized by UNESCO, and it is also the best way to check and fill in the gaps. When looking back, some will come up with it very clearly, while others will be vague or even not at all.

By doing this at intervals of 2 to 3 times, you will never forget it. And the vague and completely unremembered part is the missing part, which needs to be relearned from the beginning.

3. Look: that is, read the textbook and read Li Chai's lecture notes. It is necessary not only to have noodles, but also to have a little. This point includes not only the key points of the course content, but also the vague "missing" points that I did not recall when I recalled.