Solve the Decimal Equation: Finding the Missing Value in 0.7-?=0.6

Q: Why do I rearrange the equation instead of just guessing?

Rearranging gives you the exact answer every time! Guessing might work for simple problems, but it's unreliable and won't help you with harder equations later.

Q: What's the difference between minuend and subtrahend?

In subtraction $ a - b = c $, the minuend is a (what you start with), the subtrahend is b (what you take away), and c is the result.

Q: How do I check if 0.1 is really correct?

Substitute back into the original equation: $ 0.7 - 0.1 = 0.6 $. Since both sides equal 0.6, your answer is correct!

Q: What if I get confused about which number goes where?

Remember: minuend - subtrahend = result. If the subtrahend is missing, then subtrahend = minuend - result. Practice this pattern!

Q: Can I use this method for bigger decimal numbers?

Absolutely! This rearrangement method works for any decimal subtraction problem, no matter how many decimal places the numbers have.

Decimal Subtraction with Missing Subtrahend

Fill in the missing value (?):

$\text{0}.7-?=0.6$

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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

00:25 We can see that the first option is suitable, let's move on to the second one

00:30 Let’s apply the same method as before and proceed to check

00:39 Insert one of the answers into the expression and calculate

00:56 We can see that the second option is not suitable, 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

01:23 We can see that the third option is not suitable, let's move on to the fourth one

01:31 Apply the same method as before and proceed to check

01:38 Insert the remaining answer into the expression and proceed to calculate

01:48 We can see that the fourth option is not suitable

01:52 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 (?):

$\text{0}.7-?=0.6$

Step-by-step solution

To solve the problem $0.7 - ? = 0.6$ , we follow these steps:

Step 1: Rearrange the equation to find the missing value: $? = 0.7 - 0.6$ .
Step 2: Perform the subtraction: $0.7 - 0.6 = 0.1$ .
Step 3: Conclude that the missing value is $0.1$ .

This matches choice $0.1$ , so the solution to the problem is $0.1$ .

Final Answer

0.1

Key Points to Remember

Essential concepts to master this topic

Rule: To find missing subtrahend, subtract result from minuend
Technique: Rearrange 0.7 - ? = 0.6 to ? = 0.7 - 0.6
Check: Substitute back: 0.7 - 0.1 = 0.6 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting to find the missing value
Don't calculate ? = 0.7 + 0.6 = 1.3! This gives the wrong operation and makes the equation impossible to verify. Always rearrange to ? = minuend - result when finding a missing subtrahend.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I rearrange the equation instead of just guessing?

Rearranging gives you the exact answer every time! Guessing might work for simple problems, but it's unreliable and won't help you with harder equations later.

What's the difference between minuend and subtrahend?

In subtraction $a - b = c$ , the minuend is a (what you start with), the subtrahend is b (what you take away), and c is the result.

How do I check if 0.1 is really correct?

Substitute back into the original equation: $0.7 - 0.1 = 0.6$ . Since both sides equal 0.6, your answer is correct!

What if I get confused about which number goes where?

Remember: minuend - subtrahend = result. If the subtrahend is missing, then subtrahend = minuend - result. Practice this pattern!

Can I use this method for bigger decimal numbers?

Absolutely! This rearrangement method works for any decimal subtraction problem, no matter how many decimal places the numbers have.

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