Solve 1220-44 Using Number Line Jump Strategy

Q: Why do we break 44 into smaller jumps like 20 + 20 + 4?

Breaking large numbers into friendly numbers like 20s and 10s makes mental math much easier! It's like taking smaller steps instead of one giant leap.

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

For subtraction, always jump left (backward) on the number line. For addition, jump right (forward). Think: subtraction makes numbers smaller!

Q: Can I make different-sized jumps?

Absolutely! You could use 30 + 10 + 4 or 40 + 4. Choose jump sizes that are easy for you to calculate mentally.

Subtraction Strategies with Number Line Jumps

Solve the exercise using the number line jumps below:

$1220-44=$

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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:

$1220-44=$

Step-by-step solution

We start the subtraction on a number line beginning at $1220$ . We need to reduce this number by $44$ in stages as indicated by the number line jumps.

Step 1: Starting from $1220$ , we make a jump of 20: $1220 - 20 = 1200$ .
Step 2: From $1200$ , make another jump of 20: $1200 - 20 = 1180$ .
Step 3: Finally, make a small jump of 4: $1180 - 4 = 1176$ .

Adding the sections, we've successfully subtracted $44$ using the number line jumps: a total of two jumps of $20$ and one of $4$ , bringing us from $1220$ to $1176$ .

Therefore, the final calculated solution is $1176$ .

Final Answer

$1886$

Key Points to Remember

Essential concepts to master this topic

Strategy: Break down subtraction into smaller, manageable jumps backward
Technique: Subtract 44 as 20 + 20 + 4 for easier calculation
Check: Verify that total jumps equal subtracted amount: 20 + 20 + 4 = 44 ✓

Common Mistakes

Avoid these frequent errors

Adding jumps instead of subtracting them
Don't add the jump values to your starting number = wrong direction on number line! This moves you forward instead of backward. Always subtract each jump value when moving left on the number line.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do we break 44 into smaller jumps like 20 + 20 + 4?

Breaking large numbers into friendly numbers like 20s and 10s makes mental math much easier! It's like taking smaller steps instead of one giant leap.

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

For subtraction, always jump left (backward) on the number line. For addition, jump right (forward). Think: subtraction makes numbers smaller!

What if my jumps don't add up to the number I'm subtracting?

Check your work! The sum of all your jumps must equal the number you're subtracting. For example: $20 + 20 + 4 = 44$ ✓

Can I make different-sized jumps?

Absolutely! You could use 30 + 10 + 4 or 40 + 4. Choose jump sizes that are easy for you to calculate mentally.

Why is the answer 1176, not one of the multiple choice options?

Great observation! The explanation shows the correct calculation: $1220 - 44 = 1176$ . However, there might be an error in the provided answer choices, as none match this correct result.

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