Parentheses in simple Order of Operations: Solving the problem

According to the order of operations rules, we must first solve the expressions inside of the parentheses:

$15-9=6$

$7-3=4$

We obtain the following expression:

$6\times4=24$

Apply the distributive property and proceed to multiply each term inside of the parentheses by 187:

$187\times8-187\times5=$

Solve the first multiplication problem vertically, making sure to solve it in the correct order (ones multiplied by ones, ones multiplied by tens, ones multiplied by hundreds )

$187\\\times8$

We should obtain the following result: 1496

Proceed to solve the second multiplication problem vertically, once again making sure to solve it in the correct order (ones multiplied by ones, ones multiplied by tens, ones multiplied by hundreds )

$187\\\times5$

We should obtain the following result: 935

Now to tackle the next problem:

$1496-935=$

We should once again solve this vertically. Make sure to align the digits properly, ones under ones, tens under tens, etc.:

$1496\\-935$

Subtract ones from ones, tens from tens, etc., to obtain the final result: $561$

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

We will therefore start by simplifying the expression inside the parentheses and calculate the result of the addition within them, then - we will first perform the division operation:

$(85+5):10= \\ 90:10= \\ 9$

$$Therefore, the correct answer is answer A.

According to the order of operations, first we solve the exercise within parentheses:

$30+6=36$

Now we solve the exercise

$36:4\times3=$

Since the exercise only involves multiplication and division operations, we solve from left to right:

$36:4=9$

$9\times3=27$

According to the order of operations, we'll first solve the exercises in parentheses:

$(16-6)=10$

$(7-3)=4$

We should obtain the following exercise:

$10\times9+4$

We'll place the multiplication exercise in parentheses to avoid confusion in the rest of the solution:

$(10\times9)+4=$

According to the order of operations, we'll solve the multiplication exercise and then add:

$90+4=94$

According to the order of operations, we will first solve the expressions in parentheses and then multiply:

$(12-6+9)=(6+9)=15$

$(7+3)=10$

Then solve the multiplication exercise:

$15\times10=150$

According to the rules of the order of operations, we first solve the exercise within parentheses from left to right:

$8:4=2$

$2:2=1$

Now we get the exercise:

$1-3-1=$

We solve the exercise from left to right:

$1-3=-2$

$-2-1=-3$

According to the rules of the order of operations, we first solve the exercise within parentheses:

$4+5=9$

Now we obtain the exercise:

$2\times3-9:2=$

We place in parentheses the multiplication and division exercises:

$(2\times3)-(9:2)=$

We solve the exercises within parentheses:

$2\times3=6$

$9:2=4.5$

Now we obtain the exercise:

$6-4.5=1.5$

Let's simplify this expression while adhering to the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses take priority over all.

In our expression, there is a term in parentheses that needs to be multiplied. We'll start by simplifying this expression, remembering that division comes before addition, so we'll first perform the division operation within the parentheses and then the addition operation in this expression:

$4+(6+6:3)\cdot2= \\ 4+(6+2)\cdot2= \\ 4+8\cdot2=$

Let's continue simplifying the expression we that we got in the last step. Since multiplication comes before addition, we'll first calculate the multiplication in the expression and then perform the addition operation:

$4+8\cdot2= \\ 4+16= \\ 20$

To summarise:

$4+(6+6:3)\cdot2= \\ 4+8\cdot2= \\ 20$

Therefore the correct answer is answer C.

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

Therefore we'll start by simplifying the expression inside the parentheses and perform the subtraction within them, then since division comes before subtraction, we'll first perform the division operation and then the subtraction operation

$10-(10-4):2= \\ 10-6:2= \\ 10-3=\\ 7$Therefore the correct answer is answer D.

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

We will start by simplifying the expression inside the parentheses and calculate the result of the subtraction within them, then - since division comes before subtraction, we will first perform the division operation and then perform the subtraction operation:

$10-(10-4):2= \\ 10-6:2= \\ 10-3= \\ 7$

$$Therefore, the correct answer is answer B.

According to the order of operations, we will first solve the multiplication exercises in parentheses:

$(13\times2)=26$

$(12\times1.5)=18$

Now we will subtract:

$26-18=8$

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

Therefore, we'll start by simplifying the expression in parentheses, since multiplication comes before addition and subtraction we'll first perform the multiplication in the expression and then calculate the result of the addition and subtraction operations in the expression:

$6\cdot(3+5\cdot2-13)= \\ 6\cdot(3+10-13)= \\ 6\cdot0= \\ 0$We completed the calculation above by performing the remaining multiplication, and we also remembered that multiplying any number by 0 will always result in 0.

Therefore, the correct answer is answer B.

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of these,

Therefore, we'll start by simplifying the expression in parentheses, and since division comes before addition, we'll first perform the division operation in this expression and then the addition operation:

$4+(6+6:3)\cdot2= \\ 4+(6+2)\cdot2= \\ 4+8\cdot2 \\$We'll continue to simplify the expression we got in the last step, remembering that multiplication comes before addition and therefore we'll first perform the multiplication in the expression and then the addition operation:

$4+8\cdot2= \\ 4+16= \\ 20$Therefore, the correct answer is answer C.

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

Therefore, let's start by simplifying the expression inside the parentheses, remembering that multiplication comes before addition and subtraction and thus we will first perform the multiplications in this expression, then perform the subtraction operations, and finally complete the calculation by performing the subtraction operation on the expression in parentheses:

$17-(3\cdot5-4\cdot2+2\cdot3)= \\ 17-(15-8+6)= \\ 17-13= \\ 4$

Therefore the correct answer is answer C