Subtract Decimals: 76 - 10.3213 Step-by-Step Solution

Circle the correct answer for the following exercise:

76-10.3213

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Place 0 in the appropriate positions
00:09 When we need to subtract a number larger than what we have
00:12 Borrow from the next possible number
00:20 The digit will decrease by 1, and the previous digit will increase by 10
00:23 Use the same method and continue until we reach the last digit
00:57 Now subtract from the larger number
01:04 Place and continue to subtract and place accordingly
01:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Circle the correct answer for the following exercise:

76-10.3213

2

Step-by-step solution

In order to avoid confusion whilst solving the exercise, add four zeros to the number 76 as follows:

76.000010.3213 76.0000\\-10.3213\\

Now let's proceed to solve the exercise in the correct order:

Let's subtract the tens of thousands after the decimal point:

03= 0-3=

Given that we cannot subtract, we will instead borrow ten from the tens digit of the whole number before the decimal point, as all other numbers are also zeros.

The tens digit of the whole number before the decimal point will become 5, and the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

We'll borrow ten from the thousandths digit after the decimal point and it will change from 10 to 9, and now the ten thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the ten thousandths after the decimal point:

103=7 10-3=7

Let's subtract the thousandths after the decimal point:

91=8 9-1=8

Let's subtract the hundredths after the decimal point:

92=7 9-2=7

Let's subtract the tenths after the decimal point:

93=6 9-3=6

Finally, let's subtract the whole numbers before the decimal point accordingly:

50=5 5-0=5

71=6 7-1=6

And we obtain the following answer:

76.000010.321365.6787 76.0000\\-10.3213\\65.6787

3

Final Answer

65.6787

Practice Quiz

Test your knowledge with interactive questions

Choose the correct writing form:

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations