Find the Approximate Square Root of 134: Numerical Estimation

Rounding Numbers with Decimal Place Values

134 ? 134\approx\text{ ?}

❤️ 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
1

Understand the problem

134 ? 134\approx\text{ ?}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the last digit of the number, which is the ones digit.
  • Step 2: Apply the rounding rule for the nearest ten based on the ones digit.
  • Step 3: Use the rules to determine the correct rounded number.

Let's proceed through these steps:
Step 1: The number given is 134 134 . Here, the ones digit is 4 4 .
Step 2: When rounding to the nearest ten, we consider the rule: if the ones digit is less than 5 5 , round down; if it is 5 5 or more, round up.
Step 3: Since the ones digit is 4 4 , which is less than 5 5 , we round down. Therefore, we decrease 134 134 to the nearest ten, which is 130 130 .

Therefore, the solution to the problem is 130 130 .

3

Final Answer

130 130

Key Points to Remember

Essential concepts to master this topic
  • Rounding Rule: If ones digit is less than 5, round down
  • Technique: Look at 134: ones digit 4 < 5, so round to 130
  • Check: Verify 130 is nearest ten: distance from 134 to 130 = 4 ✓

Common Mistakes

Avoid these frequent errors
  • Rounding to the wrong place value
    Don't round 134 to 100 or 135 = wrong place value! Students often round to hundreds instead of tens, or add 1 to the ones digit instead of the tens digit. Always identify which place value you're rounding to first, then apply the rule.

Practice Quiz

Test your knowledge with interactive questions

\( 134\approx\text{ ?} \)

FAQ

Everything you need to know about this question

What if the ones digit is exactly 5?

+

When the ones digit is exactly 5, you always round up to the next ten. For example, 135 would round up to 140.

Why do we look at the ones digit to round to the nearest ten?

+

The ones digit tells us how far we are from the nearest tens. If it's 0-4, we're closer to the lower ten. If it's 5-9, we're closer to the higher ten.

How do I remember the rounding rule?

+

Think of it as a halfway point: numbers 0-4 are in the first half (round down), and numbers 5-9 are in the second half (round up).

What's the difference between 130 and 134?

+

The difference is 134130=4 134 - 130 = 4 . Since 4 is less than 5 (halfway to the next ten), 130 is indeed the nearest ten.

Can I round other numbers the same way?

+

Yes! This same rule works for rounding to any place value. Just look at the digit one place to the right of where you're rounding and apply the same 0-4 (down) or 5-9 (up) rule.

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations