Complete addition and subtraction sentences
Key notes :
๐1.Understanding Addition and Subtraction Sentences
- Addition Sentences: An equation that shows the sum of two or more numbers.
- Example: 7+5=12
- Subtraction Sentences: An equation that shows the difference between two numbers.
- Example: 15โ8=7
๐2. Recognizing Missing Elements
- Identifying the Missing Part: Understand whether the missing part is a number (addend, minuend, subtrahend) or the result (sum, difference).
- Example: __+9=14 (Missing addend)
- Example: 18โ__=9(Missing subtrahend)
๐3. Solving for Missing Numbers
- Addition Sentences:
- To find the missing addend: Subtract the known addend from the sum.
- Example: __+9=14 โ 14โ9=5
- To find the sum: Add the known addends.
- Example: 7+8=__โ 7+8=15
- To find the missing addend: Subtract the known addend from the sum.
- Subtraction Sentences:
- To find the missing minuend: Add the difference to the subtrahend.
- Example: __โ6=4 โ 4+6=10
- To find the missing subtrahend: Subtract the difference from the minuend.
- Example: 12โ__=5 โ 12โ5=7
- To find the difference: Subtract the subtrahend from the minuend.
- Example: 18โ9=__โ 18โ9=9
- To find the missing minuend: Add the difference to the subtrahend.
๐. Checking Your Work
- Verification: After solving, substitute the number back into the equation to ensure it makes the sentence true.
- Example: For __+9=14, after finding 5 as the missing number, check that 5+9=14.
๐5. Understanding the Relationship Between Addition and Subtraction
- Inverse Operations: Recognize that addition and subtraction are inverse operations, which means they can be used to check each other.
- Example: If 8+7=15, then 15โ7=8
๐งจ6. Word Problems to Practice
- Example 1: “Sarah has 23 apples. She buys some more apples, and now she has 37. How many apples did she buy?”
- Solution: 23+__=37, so she bought 37โ23=14 apples.
- Example 2: “John had some money. After spending $35, he has $65 left. How much money did he have initially?”
- Solution: __โ35=65 so he initially had 65+35=100 dollars.
๐งจ7. Problem-Solving Strategies
- Use a Number Line: Visualize addition or subtraction by moving forward or backward on a number line.
- Estimate: Before solving, estimate the answer to see if your final answer is reasonable.
- Draw a Picture: Sometimes drawing a simple diagram or using counters can help visualize the problem.
๐8. Word Problem Connections
- Application in Word Problems: Use addition and subtraction sentences to solve real-life problems, enhancing understanding and relevance.
- Example: “If you score 23 points in the first half of a game and score 18 points in the second half, how many points did you score in total?”
- Solution: 23+18=__so the total score is 41 points.
- Example: “If you score 23 points in the first half of a game and score 18 points in the second half, how many points did you score in total?”
Learn with an example
Fill in the missing number.
68,094 – __________ = 60,755
- Find the number that makes the subtraction number sentence true.
- 68,094โ?=60,755
- Subtract 60,755 from both sides:
- 68,094โ? โ 60,755=60,755 โ 60,755
- 7,339โ?=0
- Now, find the number that goes in the blank space. Remember, when a number is subtracted from itself, the difference is zero. The number in the blank space must be 7,339.
- The missing number is 7,339.
Fill in the missing number.
________+ 48,995 = 89,668
- Decide which number makes the addition number sentence true. You can subtract to find the answer.
- Subtract: 89,668 – 48,995 = 40,673
- The missing number is 40,673.
๐ผ Fill in the missing number.
- Find the number that makes the subtraction number sentence true.
- 3,009 โ ? = 2,915
- Subtract 2,915 from both sides:
- 3,009 โ ? โ 2,915 = 2,915 โ 2,915
- 94 โ ? = 0
- Now, find the number that goes in the blank space. Remember, when a number is subtracted from itself, the difference is zero. The number in the blank space must be 94.
- The missing number is 94.
Let’s practice!