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

00:09 Let's solve the problem step by step.
00:12 First, we'll tackle the leftmost operation.
00:17 Next, let's split the number into a whole part and a remainder.
00:32 Now, we'll use long addition to find the remainder.
00:57 And that's how we solve 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