How do you evaluate #15- 2+ 7- 12\div 4#?

Question

Eva Abramson · Accepted Answer

#17#

Employing BODMAS

First Divide: #15 − 2 + 7 − 12 ÷ 4# #=15 − 2 + 7 − 3#

Since there's no multiplication, you can proceed.

Now, Add: #15 + (-2) + 7 - 3# #=15 + 5 - 3#

Here, make sure to take the '-' symbol and replace it with the number 2 to finish the addition.

Add once again: #15 + 5 - 3# #=20 - 3#

Now Subtract: #20 - 3# #= 17#

Isaiah Anthony · Answer

#17#

#15-2+7-12 divide 4#

Here we use the order of operations PEMDAS/PEDMAS, whichever acronym it is you've been taught.

What many students misunderstand is that PEMDAS is just a way to memorize the order of operations, it's not the literal order of operations.

Let me break down the real order of operations for you: (1) P - parenthesis (2) E - exponent (3) M or D - multiplication or division (4) A or S - addition or subtraction

The (1) to (4) are the levels of priority. So how the order of operations works is that first you look at the level of priority and THEN you do the first operation that comes up from left to right.

For example, #2 * 5 divide 10#, multiplication and division are in the same level of priority so which one do you do first? The answer is you do the multiplication #2*5# first.

What happens if you get a #3 + 10 divide 2 * 4#, which operation do you do first? The answer is the division #10 divide 2#, multiplication and division have a higher priority than addition, and division came up before the multiplication, so you do the division. The same concept goes for the addition and subtraction level as well.

So back to our problem, #15-2+7-12 divide 4#.

We do the division first.

#=15-2+7 - 3#

#=13 + 7 - 3#

#=20 - 3#

#=17#

Savannah Anderson · Answer

#17#

Counting the terms in an expression is a crucial step to take when working with multiple operations.

In the final step, each term will reduce to a single answer that can be added or subtracted.

For every term, the sequence is:

#color(purple)(15)" " color(lime)(-2)" " color(blue)(+7)" " color(red)(-12div4)" "larr # there are four terms.

The final one only needs to be calculated.

#color(purple)(15)" " color(lime)(-2)" " color(blue)(+7)" " color(red)(-12div4)# #color(white)(xxxxxxxxxxxxxx)color(red)(darr)# #=color(purple)(15)" " color(lime)(-2)" " color(blue)(+7)" " color(red)(-3)" "larr# each term is a single value.

Rearrange the expression with the additions at the beginning, then add from left to right, to minimize errors.

#=color(purple)(15)" " color(blue)(+7)" " color(lime)(-2)" " color(red)(-3)#

#=22" "color(lime)(-2)" " color(red)(-3)#

#=20" " color(red)(-3)#

#=17#

Nathan Axel · Answer

undefined To evaluate the expression $ 15 - 2 + 7 - \frac{12}{4} $, you follow the order of operations, which is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). First, perform the division: $ \frac{12}{4} = 3 $. Then, perform the subtraction and addition in order: $ 15 - 2 + 7 - 3 = 13 $.