Unformatted text preview: and division, raising to a power and extraction of a root are two by two
mutually inverse operations. Order of operations. Brackets
If brackets are absent, the following order of operations is right:
1) raising to a power and extraction of a root (one after another);
2) multiplication and division (one after another);
3) addition and subtraction (one after another).
If brackets are present, at first all operations inside brackets are executed according to the aforesaid order, and
then the rest of the operations out of brackets are executed (in the same order).
E x a m p l e. Calculate the next expression:
( 10 + 23 · 3 ) + 43 – ( 16 : 2 – 1 ) · 5 – 150 : 52 .
S o l u t i o n. At first, powers must be calculated and changed by theirs values:
(10 + 8 · 3) + 64 – (16: 2 – 1) · 5 – 150: 25; Math I -2- Feel free to pass this on to your friends, but please don’t post it online.
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after this, multiplication and division in the brackets and out of
them are executed:
( 10 + 24 ) + 64 – ( 8 – 1 ) · 5 – 6 ;
now, additions and subtractions in the brackets are executed:
34 + 64 – 7 · 5 – 6 ;
finally, after the rest of the multiplication 7 · 5 = 35 we receive:
34 + 64 – 35 – 6 = 57 Laws of addition and...
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- Spring '13
- Elementary arithmetic, college entrance exam