contestada

the product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 4 true or false

Respuesta :

Kalahira
The answer here is false. For example, 4.9 x .9 = 4.41 which is more than 4.(4 9/10 x 9/10 = 4 41/100).
calculista

Let

m-------> a mixed number between [tex] 4 [/tex] and [tex] 5 [/tex]

f-------> a fraction between [tex] 0 [/tex] and [tex] 1 [/tex]

p-----> the product of m and f

we will assume different values ​​of m and f to obtain the product

1) For [tex] m=4.1 [/tex] and [tex] f=0.2 [/tex]

[tex] p=4.1*0.2 [/tex]

[tex] p=0.82 [/tex]

[tex] 0.82 < 4 [/tex]

2) For [tex] m=4.9 [/tex] and [tex] f=0.9 [/tex]

[tex] p=4.9*0.9 [/tex]

[tex] p=4.41 [/tex]

[tex] 4.41 > 4 [/tex] --------> not always the product is less than [tex] 4 [/tex]

therefore

the answer is

[tex] False [/tex]

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