Solve Decimal Expression: 10.75 - (7.20 - 2.7) Using Order of Operations

Question

10.75(7.202.7)= 10.75-(7.20-2.7)=

Video Solution

Solution Steps

00:09 Let's begin solving the problem step by step.
00:13 Remember, when you multiply a negative by a negative, you get a positive.
00:18 Now, let's apply this rule to our example.
00:27 We'll follow the order of operations from left to right.
00:33 Next, use long subtraction to substitute values in our problem.
00:57 Then, we'll use long addition to continue solving.
01:11 And that's how we find the solution to the problem!

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Simplify the expression inside the parentheses: 7.202.7 7.20 - 2.7 .

  • Step 2: Subtract the result from 10.75.

Let's work through these steps:

Step 1: Simplify 7.202.7 7.20 - 2.7 .
Align the decimal points:
7.20 \qquad 7.20
2.70 - \quad \underline{2.70}
4.50 \qquad 4.50

Step 2: Now subtract the result from 10.75:
Align the decimal points:
10.75 \qquad 10.75
4.50 - \quad \underline{4.50}
6.25 \qquad 6.25

Therefore, the solution to the problem is 6.25 6.25 .

Answer

6.25