Order of Operations with Parentheses

We'll use the distributive property and multiply each term in parentheses by 187:

$187\times8-187\times5=$

Let's solve the first multiplication problem vertically, making sure to solve it correctly, meaning units times units, units times tens, units times hundreds.

$187\\\times8$

We get the result: 1496

Let's solve the second multiplication problem vertically, making sure to solve it correctly, meaning units times units, units times tens, units times hundreds.

$187\\\times5$

We get the result: 935

Now we'll get the problem:

$1496-935=$

We'll solve this vertically as well. We'll make sure to align the digits properly, units under units, tens under tens, etc.:

$1496\\-935$

We'll subtract units from units, tens from tens, etc., and get the result: $561$

Let's simplify this expression while maintaining the order of operations.

Let's start by solving what's in the parentheses:

$29-4=25$

Now we get the expression:

$25:5=$

In the next step, to make the division easier, we'll break down 25 into two smaller factors that are divisible by 5:

$(20+5):5=$

Let's divide each factor in the parentheses by 5:

$(20:5)+(5:5)=$

We'll solve each expression in the parentheses and obtain:

$4+1=5$

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 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.

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, and perform the addition operation in this expression, then we'll perform the subtraction operation that applies to the expression in parentheses:

$18-(3+3)= \\ 18-6= \\ 12$Therefore the correct answer is answer A.