Solve 1200 + 940 Using Number Line Jump Strategy

Q: Why do we break 940 into 800 + 100 + 40?

Breaking numbers into place values makes addition much easier! It's like taking smaller, manageable steps instead of one big leap. 800 + 100 + 40 is simpler to add mentally than jumping by 940 all at once.

Q: Do I have to use the number line jumps in this exact order?

You can change the order! The commutative property means 800 + 100 + 40 = 40 + 100 + 800. However, starting with the largest jump (800) often makes visualization easier.

Q: What if I get confused about which direction to jump?

Since we're adding, always jump to the right on the number line! Each jump moves us toward a larger number. If you were subtracting, you'd jump left instead.

Q: Can I use this strategy for any addition problem?

Yes! The jump strategy works especially well with larger numbers. Break the second number into hundreds, tens, and ones, then add each part step by step.

Q: How do I know my final answer is correct?

Add up all your jumps to check: $ 800 + 100 + 40 = 940 $. Then verify: $ 1200 + 940 = 2140 $ ✓

Addition Strategies with Number Line Jumps

Solve the exercise using the number line jumps below:

$1200+940=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the exercise using the number line jumps below:

$1200+940=$

Step-by-step solution

Let's solve the problem step-by-step using a number line approach:

Step 1: Start at the number 1200, the initial value.
Step 2: Follow the number line jump adding 800 to 1200. The calculation is:

$1200 + 800 = 2000$

Step 3: Jump again by adding 100 to the current result (2000):

$2000 + 100 = 2100$

Step 4: Finally, perform the last jump, adding 40 to get the final result:

$2100 + 40 = 2140$

The number line effectively helps in visualizing the addition process through incremental steps.

Thus, the sum $1200 + 940$ results in $2140$ .

Final Answer

$2140$

Key Points to Remember

Essential concepts to master this topic

Strategy: Break down addends into place value parts for easier computation
Technique: Start at 1200, jump +800 to reach 2000, then +100, then +40
Check: Verify by adding place values: 1200 + 940 = 2140 ✓

Common Mistakes

Avoid these frequent errors

Adding jumps in wrong order or missing decomposition
Don't add 1200 + 940 directly without breaking down 940 = confused calculation! This leads to computational errors and wrong sums. Always decompose the second addend into place values (800 + 100 + 40) and add systematically.

Practice Quiz

Test your knowledge with interactive questions

Solve the exercise using the structure table below:

$$ 5896+1256= $$

FAQ

Everything you need to know about this question

Why do we break 940 into 800 + 100 + 40?

Breaking numbers into place values makes addition much easier! It's like taking smaller, manageable steps instead of one big leap. 800 + 100 + 40 is simpler to add mentally than jumping by 940 all at once.

Do I have to use the number line jumps in this exact order?

You can change the order! The commutative property means 800 + 100 + 40 = 40 + 100 + 800. However, starting with the largest jump (800) often makes visualization easier.

What if I get confused about which direction to jump?

Since we're adding, always jump to the right on the number line! Each jump moves us toward a larger number. If you were subtracting, you'd jump left instead.

Can I use this strategy for any addition problem?

Yes! The jump strategy works especially well with larger numbers. Break the second number into hundreds, tens, and ones, then add each part step by step.

How do I know my final answer is correct?

Add up all your jumps to check: $800 + 100 + 40 = 940$ . Then verify: $1200 + 940 = 2140$ ✓

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