pulleys are important in everyday life because we needed to lift up heay weight objects that a human cant do in their everyday life so pulley is a very important simple machines to humanity.
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You need use fractions, addition, multiplacation, and divison for everyday use
Every day is important.
Prime example of radiation in our every day life is the heat we get from the sun (mostly radiation heat)
Almost every number that almost every ordinary person uses in his personal life on almost every typical day is a rational number.
They are important concepts in math and phsyics. Surface area of a room for example tells us how much paint we need. Volume of a fish tank tells us how much water to put in. There are millions of every day applications for both these conceps in every day life and that is why there are so important.