Solve Problems using Subtraction.
Solve Problems using Subtraction.
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
  • Students will confidently subtract one-digit, two-digit, and three-digit numbers.
  • Understand and apply place value (ones, tens, hundreds) for correct alignment.
  • Recognize when regrouping (borrowing) is needed in subtraction.
  • Solve problems systematically, addressing each place value accurately.
  • Translate real-life scenarios into subtraction equations.

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Subtraction:

Subtraction is taking away one number from another to find the difference. In subtraction, the number we are subtracting from is called the minuend, the number being subtracted is called the subtrahend, and the result is called the difference.

When subtracting:  

  • 1-digit numbers: We subtract numbers in the ones place only.

  • 2-digit numbers: We subtract numbers in both the tens and ones places.
  • 3-digit numbers: We subtract numbers in the hundreds, tens, and ones places.

If the top digit in any place value is smaller than the bottom, borrowing (or regrouping) is required.

Example 1:

Subtraction of 1-digit Numbers: Subtract 7 from 9.

Solution:

  • Using place value alignment, write the numbers vertically: 9 - 7
  • Subtract the one's place:
    • 9 - 7 = 2

Final solution: 9 - 7 = 2.

Example 2:

Subtraction of 2-Digit Numbers Without Regrouping: Subtract 12 from 35.

Solution:

  • Align the numbers by place value and write them vertically: 35 - 12
  • Subtract the one's place:
    • 5 - 2 = 3
  • Subtract the tens place:

    • 3 - 1 = 2

Final solution: 35 - 12 = 23.

 Example 3:

 Subtraction of 2-Digit Numbers With Regrouping: Subtract 27 from 54.

Solution:

  • Write the numbers vertically, aligning by place value: 54 - 27
  • Subtract the ones place:
    • 4 - 7 cannot be done without borrowing.
    • Borrow 1 from the tens place, making the 5 into a 4, and making the 4 in the ones place into 14.
    • Now, 14 - 7 = 7
  • Subtract the tens place:
    • 4 - 2 = 2
  • Final Solution: 54 - 27 = 27.

Example 4:

Subtraction of 3-Digit Numbers Without Regrouping: Subtract 123 from 456.

Solution:

Write the numbers vertically, aligning by place value:

456
- 123
------

  • Subtract the ones place:
    • 6 - 3 = 3
  • Subtract the tens place:
    • 5 - 2 = 3
  • Subtract the hundreds place:
    • 4 - 1 = 3
  • Final solution:
    456
    - 123
    ------
    333

So, 456 - 123 = 333.

 Let's practice solving Place values, and stay tuned with us for more content

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