Question

Brainliests offered whoever answer my question.


1: find the value of 8 4s. It’s not 84 but it’s 8 and then at the top it’s 4.

2: a mug is 1/7 full. The mug contains 1/3 of a cup of water. Find the capacity of the mug. Write the answer a fraction or mixed number in simplest form.

Answer 1

Problem 1

If you meant to say $8^4$, then you would have four copies of 8 multiplied together

$8^4 = 8*8*8*8 = 4096$

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Problem 2

1/7 full = 1/3 cup of water

7*(1/7 full) = 7*(1/3 cup of water) ... multiply both sides by 7

1 full = 7/3 cup of water

So a full mug has 7/3 cups of water. Let's convert this to a mixed number

7/3 = (6+1)/3

7/3 = 6/3 + 1/3

7/3 = 2 + (1/3)

7/3 = 2 & 1/3

The full capacity of the cup is 7/3 cups or 2 & 1/3 cups

7/3 is the improper fraction form

2 & 1/3 is the mixed number form

One way to think of it is to imagine there are 7 cookies and you want to distribute among 3 friends. We could say 7/3 = 2 remainder 1 meaning each person gets 2 full cookies and there's 1 left over. So that's how we'd get 2 & 1/3.