7-(7+3/4-2)+(-4)-8+4-(24)
The order of operations are
1. Do whatever can be done within in the first parentheses, using the order of
operations 2, 3, and 4 below, replacing it with what you got.
2, Do the first exponentiation you come to going left to right, replacing it
with what you got.
3. Do the first multiplication or division you come to going left to right,
replacing it with what you got.
4. Do the first addition or subtraction you com to going left to right,
replacing it with what you got.
7-(7+3/4-2)+(-4)-8+4-(24)
We look for the first parentheses (7+3/4-2). Now we use the order of
operations above within the parentheses. There are no exponentiations for step
2, so we go on to step 3. The first multiplication or division we come to in
(7+3/4-2) is the division 3/4, so we do that division and get 0.75 and replace
the 3/4 by 0.75
7-(7+0.75-2)+(-4)-8+4-(24)
We look for the first parentheses (7+0.75-2). Now we use the order of
operations above within the parentheses. There are no exponentiations for step
2, so we go on to step 3. There are no multiplications or divisions for step
3, so we go on to step 4. The first addition or subtraction we come to in
(7+0.75-2) is the addition 7+0.75, so we do that addition and get 7.75 and
replace the 7+0.75 by 7.75
7-(7.75-2)+(-4)-8+4-(24)
We look for the first parentheses (7.75-2). Now we use the order of operations
above within the parentheses. There are no exponentiations for step 2, so we
go on to step 3. There are no multiplications or divisions for step 3, so we
go on to step 4. The first addition or subtraction we come to in (7.75-2) is
the subtraction 7+0.75, so we do that subtraction and get 5.75 and replace the
7.75-2 by 5.75
7-(5.75)+(-4)-8+4-(24)
Now there are only single numbers inside parentheses, so there is nothing to do
inside any of them. So we co to step 2. There are no exponensts, so we go to
step 3. There are no multiplications or divisions, so we go to step 4. The
first addition of subtraction we come to is the sub\traction 7-(5.75). So we
do that subtraction getting 1.25 and replace the 7-(5.75) by 1.25
1.25+(-4)-8+4-(24)
Now there are only single numbers inside parentheses, so there is nothing to do
inside any of them. So we co to step 2. There are no exponensts, so we go to
step 3. There are no multiplications or divisions, so we go to step 4. The
first addition of subtraction we come to is the addition 1.25+(-4). So we do
that addition getting -2.75 and replace the 1.25+(-4) by -2.75
-2.75-8+4-(24)
Now there are only single numbers inside parentheses, so there is nothing to do
inside any of them. So we co to step 2. There are no exponensts, so we go to
step 3. There are no multiplications or divisions, so we go to step 4. The
first addition of subtraction we come to is the subtraction -2.75-8. So we do
that subtraction getting -10.75 and replace the -2.75-8 by -10.75.
-10.75+4-(24)
Now there are only single numbers inside parentheses, so there is nothing to do
inside any of them. So we co to step 2. There are no exponensts, so we go to
step 3. There are no multiplications or divisions, so we go to step 4. The
first addition of subtraction we come to is the addition -10.75+4. So we do
that addition getting -6.75 and replace the -10.75+4 by -6.75.
-6.75-(24)
Now the only thing left is that subtraction, so we get
-30.75
You can shorten the process by doing more than one thing at a time, but you
have to be careful that you follow the rule of priorities of operations.
Edwin
AnlytcPhil#aol.com
