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Understanding of the content of mathematical times in manuscripts
First, the concept of the times.

Multiply: the sum of several numbers of the original comparator.

The meaning of this word is becoming more and more unusual. In ancient times, the meaning of this word was the same as "back". It is often used in mathematics that several times of a certain number is equal to several times of a certain number.

Equal to the original number, several times of a certain number is equal to several times of a certain number; Double; Many, very; Gain; Ancient "back", betrayal, betrayal; In ancient times, it was the same as "reciting"

Second, go through the knowledge points

Knowledge point 1: Find how many times one number is another.

(1) Find a number that is several times the other, and don't add the company name after the number.

(2) The meaning of multiple: If there are several other numbers in a number, it is said that one number is several times that of another.

(3) How to find how many times a number is another number: To find how many times a number is another number is to find how many other numbers are in a number, that is, one number ÷ another number.

Example 1: Xiaoming is 6 years old and his mother is 36 years old. What was her mother's age last year?

According to the meaning of the question, we can first subtract 1 from the age of mom and Xiaoming this year to find their age last year, and then divide the age of mom last year by Xiaoming's age last year. (36- 1)÷(6- 1)=7。 Remember that the numbers behind can't be doubled.

Example 2: A cabbage worm grows from a larva to an adult, growing 1 time every day and reaching 16 cm on the 30th day. How many days does it take for this vegetable bug to grow to 4 cm?

Analysis: We can use the backward method for this kind of questions, from the 30th day to 16cm, from the 29th day to 8cm, and from the 28th day to 4cm.

Example 3: Xiao Jing's family bought some fruit. The number of apples is 8 more than pears and 32 less than oranges. There are twice as many oranges as apples. How many apples, pears and oranges did Xiao Jing buy?

Analysis: According to the meaning of the question, we can deduce that the number of apples = the number of pears+8; The number of apples = the number of oranges-32; The number of oranges =2× the number of apples. We can find that the number of apples is 32 by equivalent substitution. Substituting the above relationship, the number of pears is 24 and the number of oranges is 64. A * * * has 24+32+64= 120 (pieces).

Knowledge point 2: How many times is a number?

(1) Find how many times a number is, that is, find the sum of several identical addends and calculate by multiplication.

(2) Find a number that is several times more or several times less than a number. After finding the multiple, add a few more and subtract a few less.

(3) When solving the differential multiple problem, first find the multiple corresponding to the difference, first find the multiple of 1, and then find several multiples. Relationship: difference ÷ (multiple-1) = decimal (multiple of 1), decimal × multiple = large number (multiple) or difference+decimal = large number (multiple).

Example 1: My brother is seven years old and my father is four years younger than my brother's six times. How old is my father?

Analysis: analyze the meaning of the question, first find out how old your brother is 6 times, and then subtract 4 from the result. 6×7-4=38 (year).

Example 2: Two shepherds, A and B, are herding sheep on the grass. B There are five sheep. Armour said, "Give me two of your sheep, and mine will be five times as big as yours." Can you guess how many sheep A has?

Analysis: According to the meaning of the question, A said, "Give me your two sheep. My sheep are five times as big as yours." After B gave A 2 sheep, B left 3 sheep. Then there are 3×5= 15 sheep after A gets 2 sheep from B. A originally had 15-2= 13 sheep.