Simplify the Expression: 0.2x + 8.6x + 0.65x

Question

Solve the following:

0.2x+8.6x+0.65x= 0.2x+8.6x+0.65x=

Video Solution

Solution Steps

00:00 Solve
00:03 We'll solve the leftmost operation each time
00:08 We'll break down the number into whole number and remainder
00:23 We'll use long addition to calculate the remainder
00:48 And this is the solution to the question

Step-by-Step Solution

According to the order of operations, we must solve the exercise from left to right:

0.2x+8.6x=8.8x 0.2x+8.6x=8.8x

We'll also break down 8.8 into a smaller addition exercise that will be easier for us to calculate:

8x+0.8x+0.65x= 8x+0.8x+0.65x=

Now we'll use the commutative property since the exercise only involves addition.

Let's focus on the leftmost addition exercise, remembering that:

0.8=0.80 0.8=0.80

Next, we'll calculate the exercise below:

0.80x+0.65x=1.45x 0.80x+0.65x=1.45x

Finally, we are left with the following:

8x+1.45x=9.45x 8x+1.45x=9.45x

Answer

9.45x 9.45x