Solve the Decimal Equation: Finding the Number in x - 0.1 = 0.6

Q: Why do I add 0.1 to both sides instead of subtracting?

Since the equation shows ? - 0.1, you need to undo the subtraction. The opposite of subtracting 0.1 is adding 0.1, which cancels out and isolates the variable.

Q: How do I add 0.6 + 0.1 correctly?

Line up the decimal points: 0.6 + 0.1 = 0.7. Think of it as 6 tenths plus 1 tenth equals 7 tenths, which is 0.7.

Q: What if I got 0.5 as my answer?

You probably subtracted instead of adding! Remember: 0.6 - 0.1 = 0.5, but that's not what the equation asks for. Check your work by substituting back.

Q: How do I check if 0.7 is correct?

Substitute 0.7 back into the original equation: 0.7 - 0.1 = 0.6. Since this matches the right side, your answer is correct!

Q: Can I solve this equation differently?

Yes! You could also think of it as "What number minus 0.1 equals 0.6?" Either way, the mathematical steps are the same: add 0.1 to both sides.

Linear Equations with Decimal Addition

Fill in the missing value (?):

$?-0.1=0.6$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

00:12 Insert one of the answers into the expression and proceed to calculate

00:24 We can see that the first option doesn't fit, let's move on to the second one

00:28 Let’s apply the same method as before and proceed to check

00:36 Insert one of the answers into the expression and calculate

00:53 We can see that the second option doesn't fit, let's move on to the third one:

00:57 Once again apply the same method as before and proceed to check

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

01:19 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

01:44 We can see that the fourth option fits

01:49 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing value (?):

$?-0.1=0.6$

Step-by-step solution

To solve the equation $? - 0.1 = 0.6$ , follow these steps:

Step 1: The equation given is $? - 0.1 = 0.6$ .
Step 2: To isolate the variable $?$ , add $0.1$ to both sides of the equation.

This gives:

$? = 0.6 + 0.1$

Step 3: Perform the addition on the right side.

$0.6 + 0.1 = 0.7$

Therefore, the missing value in the equation is $0.7$ .

This corresponds to choice 4, which is 0.7.

Final Answer

0.7

Key Points to Remember

Essential concepts to master this topic

Rule: Add same value to both sides to isolate variable
Technique: Add 0.1 to both sides: ? = 0.6 + 0.1 = 0.7
Check: Substitute back: 0.7 - 0.1 = 0.6 ✓

Common Mistakes

Avoid these frequent errors

Subtracting instead of adding to isolate the variable
Don't subtract 0.1 from 0.6 to get 0.5! This ignores the equation structure and gives the wrong answer. Always add the same value being subtracted to both sides to isolate the variable.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I add 0.1 to both sides instead of subtracting?

Since the equation shows ? - 0.1, you need to undo the subtraction. The opposite of subtracting 0.1 is adding 0.1, which cancels out and isolates the variable.

How do I add 0.6 + 0.1 correctly?

Line up the decimal points: 0.6 + 0.1 = 0.7. Think of it as 6 tenths plus 1 tenth equals 7 tenths, which is 0.7.

What if I got 0.5 as my answer?

You probably subtracted instead of adding! Remember: 0.6 - 0.1 = 0.5, but that's not what the equation asks for. Check your work by substituting back.

How do I check if 0.7 is correct?

Substitute 0.7 back into the original equation: 0.7 - 0.1 = 0.6. Since this matches the right side, your answer is correct!

Can I solve this equation differently?

Yes! You could also think of it as "What number minus 0.1 equals 0.6?" Either way, the mathematical steps are the same: add 0.1 to both sides.

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