Solve 460 + 550 Using Number Line Jump Strategy

Q: Why should I break 550 into smaller jumps on the number line?

Breaking numbers into place values makes mental math easier! Instead of one big +550 jump, you can do +500, +40, +10. Each jump is simpler to visualize and calculate.

Q: What if I lose track of where I am on the number line?

Write down each landing point! Start at 460, then 460 + 500 = 960, then 960 + 40 = 1000, finally 1000 + 10 = 1010. Keep a running total.

Q: Is there a faster way than using the number line?

Yes! Column addition is often faster for larger numbers. Line up the digits by place value, add from right to left, and carry over when needed. Both methods give the same answer!

Q: How do I know which method to use?

Use the method that makes most sense to you! Number lines are great for visualizing, while column addition is efficient for multi-digit problems. Practice both!

Q: What does it mean to 'carry over' in addition?

When adding digits gives you 10 or more, you write the ones digit and carry the tens digit to the next column. Like $ 6 + 5 = 11 $: write 1, carry 1.

Addition with Number Line Decomposition

Solve the exercise using the number line below:

$460+550=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the exercise using the number line below:

$460+550=$

Step-by-step solution

To solve the problem, $460 + 550$ , we will use direct addition by aligning the numbers according to their place values and then verify using a number line:

Step 1: Write the numbers in column form:

$\begin{array}{c c c} & 4 & 6 & 0 \\ + & 5 & 5 & 0 \\ \end{array}$
Step 2: Add the numbers starting from the rightmost digit (units):
- $0 + 0 = 0$
Step 3: Move to the tens digit:
- $6 + 5 = 11$ . Write down 1 and carry over 1 to the next column.
Step 4: Move to the hundreds digit:
- $4 + 5 = 9$ , and add the carried over 1: $9 + 1 = 10$ .
Therefore, the sum is:
$1010$

The sum of $460$ and $550$ is $1010$ . Verifying this using the number line would show incremental steps leading to the same sum, but in this context, direct addition confirms the accuracy. Thus, given the multiple-choice options, the correct answer is $1010$ , which matches choice 4.

The solution to the problem is $\ 1010 \$ .

Final Answer

$1010$

Key Points to Remember

Essential concepts to master this topic

Strategy: Break 550 into hundreds, tens, and ones for easier jumps
Technique: Start at 460, jump +500, then +40, then +10
Check: Verify using column addition: 460 + 550 = 1010 ✓

Common Mistakes

Avoid these frequent errors

Adding digits position by position without considering place value
Don't add 4+5=9, 6+5=11, 0+0=0 and write 9110! This ignores carrying and place values completely. Always align numbers by place value and carry over when sums exceed 9.

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 should I break 550 into smaller jumps on the number line?

Breaking numbers into place values makes mental math easier! Instead of one big +550 jump, you can do +500, +40, +10. Each jump is simpler to visualize and calculate.

What if I lose track of where I am on the number line?

Write down each landing point! Start at 460, then 460 + 500 = 960, then 960 + 40 = 1000, finally 1000 + 10 = 1010. Keep a running total.

Is there a faster way than using the number line?

Yes! Column addition is often faster for larger numbers. Line up the digits by place value, add from right to left, and carry over when needed. Both methods give the same answer!

How do I know which method to use?

Use the method that makes most sense to you! Number lines are great for visualizing, while column addition is efficient for multi-digit problems. Practice both!

What does it mean to 'carry over' in addition?

When adding digits gives you 10 or more, you write the ones digit and carry the tens digit to the next column. Like $6 + 5 = 11$ : write 1, carry 1.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to 10,000 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime