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Answer: 20 slices.

Step-by-step explanation:

Given : A banana is 8 inches long.

To find : The number of 0.4 inch slices of the banana can be cut from the banana.

By using division operation , the number of 0.4 inch slices of the banana can be cut from the banana will be :_

[tex]8\div0.4=20[/tex]

Hence, number of 0.4 inch slices of the banana can be cut from the banana =20.

The number of slices (of 0.4 inch width) of the considered banana is 20

How to find how much a thing is consists of another thing?

Suppose that we have the relation that:

x things contain y another thing.

And if we suppose that each thing contains equal number of another thing, then we can do division as:

1 thing contains y/x another thing.

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

The slices will make up the whole banana. When all pieces are of same measure, let there are total 'x' slices.

Since each slice of banana is going to be 0.4 inch in width, and there are 'x' slices, and together they make 8 inch long banana, therefore

[tex]0.4 + 0.4 + \cdots + 0.4 \text{\: (x times)} = 8 \text{\: (in inches)}\\0.4 \times x = 8\\\\\text{Dividing both the sides by 0.4}\\\\\dfrac{0.4 \times x}{0.4} = \dfrac{8}{0.4}\\\\1 \times x = 20\\x = 20[/tex]

Therefore, there are going to be 20 such slices of the considered banana.

Learn more about division here:

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