Describe two ways in which mathematical notation is useful. Give an example in each case to demonstrate the benefits of your idea. For example, you might say that notation is useful because if a symbol is used to stand for something impossible to write down (for example, an infinite set or an infinite decimal expansion) then the power of this symbolism allows to denote something we otherwise wouldn't be able to. An example in this case would be the notation \mathbb{R} which is used to denote the infinite set of all real numbers.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

multiply each one by 3.14

step-by-step explanation:

question 1: step-by-step explanation:

1/4 of 84 = 84÷4= 21