在一道除法算式中,被除数,除数,商和余数的和是383。已知商是七,余数是四,则被除数和除数分别是多

2025-03-16 13:33:50
推荐回答(5个)
回答1:

被除数是326,除数是46。

1、已知和是383,商是7,余数是4,得知被除数和除数相加是372.

383-7-4=372.

2、假设除数是X,那么被除数是7X+4(因为有余数4).

X+7X+4=372

8X=372-4

8X=368

X=46

3、得出除数=46,被除数就是46*7+4=326

4、验证结果:326÷46=7····4    4+7+46+326=383

回答2:

被除数是326,除数是46。


1、已知和是383,商是7,余数是4,得知被除数和除数相加是372.


383-7-4=372.


2、假设除数是X,那么被除数是7X+4(因为有余数4).


X+7X+4=372


8X=372-4


8X=368


X=46


3、得出除数=46,被除数就是46*7+4=326


4、验证结果:326÷46=7····4    4+7+46+326=383

除法的法则:

除法的运算性质

1、被除数扩大(缩小)n倍,除数不变,商也相应的扩大(缩小)n倍。

2、除数扩大(缩小)n倍,被除数不变,商相应的缩小(扩大)n倍。

3、被除数连续除以两个除数,等于除以这两个除数之积。

除法相关公式:

1、被除数÷除数=商

2、被除数÷商=除数

3、除数×商=被除数

4、除数=(被除数-余数)÷商

5、商=(被除数-余数)÷除数

回答3:

答:因为被除数=除数×商+余数
由题得:被除数+除数+商+余数=383,已知商=8,余数=4.
所以,被除数=除数×7+4
被除数+除数=372
8×除数=368
除数=46
被除数=326

回答4:

(383-7-4-4)÷(7+1)=368÷8=46(除数)
46×7=322

回答5:

被+除:383-7-3=372
除:(372-4)÷(7+1)=46
被:372-46=326

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