Solve 5716 + 65 Using Number Line Jump Strategy

Addition with Number Line Jumps

Solve the exercise using the number line jumps below:

5716+65= 5716+65=

111444606060571657165716

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the exercise using the number line jumps below:

5716+65= 5716+65=

111444606060571657165716

2

Step-by-step solution

To solve the given problem 5716+65 5716 + 65 using the number line approach, we'll break down the addition as follows:

  • Step 1: Start at 5716.
  • Step 2: Break 65 into two parts: 60 and 5, for easier calculation.
  • Step 3: First, add 60 to 5716: 5716+60=5776 5716 + 60 = 5776 .
  • Step 4: Next, add the remaining 5 to 5776: 5776+5=5781 5776 + 5 = 5781 .

Therefore, using the number line and stepwise approach, the final result of the addition 5716+65 5716 + 65 is 5781 5781 .

3

Final Answer

5781 5781

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break larger numbers into friendly parts like tens and ones
  • Technique: Jump by 60 first: 5716+60=5776 5716 + 60 = 5776 , then add 5
  • Check: Verify final answer by adding directly: 5716+65=5781 5716 + 65 = 5781

Common Mistakes

Avoid these frequent errors
  • Adding numbers in wrong order on number line
    Don't jump backwards or mix up the direction = wrong final position! Students sometimes subtract instead of add when confused by the visual. Always move right on the number line when adding positive numbers.

Practice Quiz

Test your knowledge with interactive questions

Solve the exercise using the structure table below:


\( 5896+1256= \)

OnesTensHundredsThousandsBeforeConversionAfterConversion

FAQ

Everything you need to know about this question

Why do we break 65 into 60 + 5 instead of adding it all at once?

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Breaking numbers into friendly parts makes mental math easier! Adding 60 (a multiple of 10) is simpler than adding 65 directly. This strategy helps you avoid calculation errors.

What if I want to break 65 differently, like 50 + 15?

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That works too! You can break numbers any way that feels comfortable. The key is choosing parts that are easy for you to add. Try 50 + 10 + 5 or even 70 - 5!

Do I always have to draw the number line jumps?

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Not always! Once you understand the concept, you can do the mental jumps in your head. The visual helps you learn the strategy first.

How do I know which direction to jump on the number line?

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When adding, always jump to the right (toward bigger numbers). When subtracting, jump to the left. Adding means getting bigger!

What if my jumps don't match the curved lines in the diagram?

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The curved lines are just guides! Focus on the numbers and direction. As long as you jump right by 60, then right by 5, you'll reach the correct answer of 5781.

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