Solve the Decimal Equation: Finding the Missing Value in 9.6 - ? = 7.4

Video Solution

Solution Steps

00:00 Identify which of the following answers is correct

00:03 Insert each of the potential answers into the expression in order to verify which of them is correct

00:07 Use vertical addition to calculate the problem

00:16 Insert one of the answers into the expression and proceed to calculate

00:28 We can see that the first option doesn't fit, let's move on to the second one

00:33 Let’s apply the same method as before and proceed to check

00:42 Insert one of the answers into the expression and calculate

00:54 We can see that the second option doesn't fit, let's move on to the third one

01:02 Once again apply the same method as before and proceed to check

01:11 Insert one of the remaining answers into the expression and calculate

01:21 We can see that the third option doesn't fit, let's move on to the fourth one

01:27 Apply the same method as before and proceed to check

01:33 Insert the remaining answer into the expression and proceed to calculate

01:51 We can see that the fourth option fits

01:56 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information - the equation is $9.6 - x = 7.4$ .
Step 2: Rearrange to isolate $x$ - add $x$ to both sides giving $9.6 = 7.4 + x$ .
Step 3: Subtract 7.4 from both sides to solve for $x$ : $x = 9.6 - 7.4$ .
Step 4: Perform the subtraction: Calculate $9.6 - 7.4$ .

Now, let's perform the calculation:
Performing the subtraction: $9.6 - 7.4 = 2.2$ .

Therefore, the solution to the equation is $x = 2.2$ .

The correct answer choice is $2.2$ .