Solve Decimal Subtraction: 574.86 minus 46

Decimal Subtraction with Mixed Number Types

574.8646-

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Place 0 in missing digits, let's position the decimal point:
00:06 We'll start subtracting from right to left
00:13 Calculate and place accordingly
00:29 The digit is too small for subtraction, so we'll borrow from the next
00:33 The next digit will decrease by 1, and our digit will increase by 10
00:39 Now let's subtract from the larger number
00:42 Calculate and place accordingly
00:50 Let's continue subtracting, calculating, and placing accordingly
01:09 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

574.8646-

2

Step-by-step solution

To solve the problem of subtracting 46 46 from 574.86 574.86 , follow these steps:

  • Step 1: Write the numbers in a vertical format aligned by the decimal point:
    574.86
    - 46.00
    ------------

  • Step 2: Subtract starting from the rightmost digits and move towards the left. Begin with the tenths place:

    • The tenths place: 60=6 6 - 0 = 6 .

    • The units place: 40=4 4 - 0 = 4 .

    • In the tens place, 76=1 7 - 6 = 1 .

    • The hundreds place: 50=5 5 - 0 = 5 .

  • Write down the result: 528.86

Thus, the result of subtracting 46 46 from 574.86 574.86 is 528.86 528.86 .

3

Final Answer

528.86

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before subtracting
  • Technique: Add zeros to 46 making it 46.00 for proper alignment
  • Check: Add your answer to subtracted number: 528.86 + 46 = 574.86 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't subtract 46 from 574.86 without proper alignment = wrong place values! This causes you to subtract tens from tenths and units from hundredths. Always align decimal points vertically and add zeros to make equal decimal places.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add zeros to 46?

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Adding zeros helps with alignment! Writing 46 as 46.00 makes it clear that you're subtracting 46 units and 0 tenths and 0 hundredths from 574.86.

What if I forget where the decimal point goes?

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The decimal point in your answer goes directly below the decimal points in the problem. When numbers are properly aligned, the decimal points form a straight vertical line.

Can I subtract from left to right instead?

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No! Always subtract from right to left, starting with the smallest place value (hundredths, then tenths, then units). This prevents errors with borrowing.

How do I know if I need to borrow?

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You need to borrow when the top digit is smaller than the bottom digit in any column. In this problem, no borrowing was needed since each top digit was larger.

What's the easiest way to check my work?

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Use addition to check subtraction! Add your answer (528.86) to what you subtracted (46). If you get the original number (574.86), you're correct!

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