Examples with solutions for Parentheses in advanced Order of Operations: Decimal numbers

Exercise #1

0.4×(3+1)= 0.4 \times (3+1) =

Step-by-Step Solution

First, calculate the expression inside the parentheses: 3+1 3 + 1 equals 4 4 .

Then multiply 0.4 0.4 by 4 4 to get 1.6 1.6 .

Answer

1.6

Exercise #2

(1.40.3)×10= (1.4-0.3)\times10=

Video Solution

Step-by-Step Solution

According to the order of operations, we will first solve the expression in parentheses.

We will solve the exercise vertically, making sure to align digits properly - ones under ones, tens under tens, and so on. Note that the decimal point is in place:

1.40.3 1.4\\-0.3\\

And we get the result:

1.1 1.1

Now we have the expression:

1.1×10= 1.1\times10=

The above expression doesn't need to be calculated, we simply need to move the decimal point one place to the right, since we are multiplying by ten, meaning we're adding a tens place.

Therefore, we get the result:

11 11

Answer

11 11

Exercise #3

(13×2)(12×1.5)= (13\times2)-(12\times1.5)=

Video Solution

Step-by-Step Solution

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

(13×2)=26 (13\times2)=26

(12×1.5)=18 (12\times1.5)=18

Now we will subtract:

2618=8 26-18=8

Answer

8 8