Millennium Tongzhou vitality north streamQueen of the Healing Doctor
的多少倍 VS 增长了多少倍 （A比B多几倍） How many times A is B vs. how many times it has increased (A is several times more than B )
I don't need the real question this time. I will simply give simple data for explanation. I believe that many students often make mistakes:
年，小齐月薪1500元； 2015年小齐月薪500元； [Example 1] In 2016 , Xiao Qi received a monthly salary of 1,500 yuan; in 2015 , Xiao Qi received a monthly salary of 500 yuan;
年，小齐月薪是2015年的多少倍？ Question 1: How many times is Qi Qi's monthly salary in 2016 ?
的多少倍，列式A ÷ B ， 1500 ÷ 500=3倍，即2016年月薪是2015年的3倍。 Answer: How many times A is B , the formula A ÷ B , 1500 ÷ 500 = 3 times, that is, the monthly salary in 2016 is 3 times that in 2015 .
年，小齐月薪比2015年增长了多少倍？ Question 2: How many times did Qi Qi's monthly salary increase in 2016 compared to 2015 ? 年的同比增长率） (Equivalent to the year-on-year growth rate in 2016 )
100% 时常表述为增长多少倍。 Answer: How many times the increase is a question of growth rate. When the growth rate is greater than 100%, it is often expressed as how many times the increase. 1500 － 500 ）÷ 500 ＝ 2 ，即 2016 年小齐月薪比 2015 年增长了 2 倍（或增长了 200% ）。 Since the growth rate is calculated, according to the formula of growth rate, (current period-base period) ÷ base period, ( 1500-500 ) ÷ 500 = 2 , that is , the monthly salary of Xiaoqi in 2016 increased by 2 times (or increased by 200) % ).
的多少倍，直接除（ A ÷ B ）；增长了多少倍，就是算增长率，先减再除（当然，也等于现期÷基期— 1 ，不推荐这么记忆）。 Memory method: how many times A is B , divide directly ( A ÷ B ); how many times it is increased is calculated as the growth rate, and then subtracted and then divided (of course, it is also equal to the current period ÷ base period- 1 , this memory is not recommended).
A 比 B 多多少倍，等同于增长了多少倍的问法，（ A － B ）÷ B 即可。 Supplement: How many times A is more than B is equivalent to the question of how many times it has increased, ( A - B ) ÷ B.
Expansion: What the hell is 1 minus 1?
It is known that wages in 2016 have increased by 60% compared to 2015. How many times are wages in 2016 equal to 2015?
Answer: How many times A is B, the column formula A ÷ B, 2016 ÷ 2015, that is, current period ÷ base period, isn't it equal to (1 + growth rate)? (Doesn't the current period ÷ (1 + growth rate) equal the base period, but the current period ÷ base period = 1 + growth rate), so the salary in 2016 is (1 + 60%) = 1.6 times that in 2015.
Summary: the multiple relationship of the current base period = growth rate +1
It is known that wages in 2016 have increased 2.3 times compared to 2015. How many times are wages in 2016 equal to 2015?
God Zhao Yun
Analysis: The growth rate is 2.3 times the growth (230% growth), so 2016 ÷ 2015 = (1 + growth rate) = 1 + 2.3 = 3.3, and the salary in 2016 is 3.3 times that in 2015.
Knowing that A is 3.3 times more than B, how many times is A more than B?
Analysis: 3.3 times more, similar to 3.3 times growth, so A ÷ B = (1 + growth rate) = 1 + 3.3 = 4.3, A is 4.3 times that of B.
The big summary: only A is how many times (for) B is the multiple calculation, the growth is XX times, more XX times, and more are used as the growth rate ~
After all, what should I do?
Cashew Examination Qi Lin (ygqilin)