Complete the Blank: Ensure 52_ is Divisible by 10

Q: What if I chose 5 instead of 0?

Good thinking! While 525 is divisible by 5, it's not divisible by 10. Remember: divisible by 5 means ending in 0 or 5, but divisible by 10 means ending in 0 only.

Q: How do I quickly check if my answer is right?

Simply divide your completed number by 10. If you get a whole number with no remainder, you're correct! For example: $ 520 \div 10 = 52 $ exactly.

Q: What if there were multiple blanks to fill?

The same rule applies! For divisibility by 10, only the last digit matters - it must be 0. The other digits can be anything, as long as the number ends in 0.

Divisibility Rules with Single Missing Digits

Complete the number so that it is divisible by 10 without a remainder:

$52\text{ }_—$

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Complete the digit so that the number is divisible by 10

00:03 A number divisible by 10 has a ones digit of 0

00:08 Using this method, we'll go through all numbers and eliminate accordingly

00:16 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the number so that it is divisible by 10 without a remainder:

$52\text{ }_—$

Step-by-step solution

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

Understand the requirement for divisibility by 10.
Apply the divisibility rule.
Verify against the given choices.

Now, let's work through each step:
Step 1: The problem asks to complete the number $52\text{ }_—$ so that it is divisible by 10 without a remainder. This means we need the last digit to be 0.
Step 2: According to the divisibility rule for 10, a number must end in 0 to be divisible by 10. Therefore, the last digit must be 0.
Step 3: Among the choices provided, only choice 1 ( $0$ ) makes $520$ divisible by 10, as $520 \div 10 = 52$ with a remainder of 0.

Therefore, the correct digit that completes the number as divisible by 10 is 0.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Numbers divisible by 10 must end in 0
Technique: Check if $520 \div 10 = 52$ with no remainder
Check: Only 0 makes the ones place correct for divisibility by 10 ✓

Common Mistakes

Avoid these frequent errors

Choosing any digit without applying the divisibility rule
Don't just pick 1, 2, or 3 randomly = numbers like 521, 522, 523 aren't divisible by 10! These leave remainders when divided. Always remember that divisibility by 10 requires the number to end in 0.

Practice Quiz

Test your knowledge with interactive questions

Is the number 10 divisible by 4?

FAQ

Everything you need to know about this question

Why does a number have to end in 0 to be divisible by 10?

Because 10 = 2 × 5, and for a number to be divisible by 10, it must be divisible by both 2 and 5. Numbers ending in 0 are always even (divisible by 2) and always end in 0 or 5 (divisible by 5).

What if I chose 5 instead of 0?

Good thinking! While 525 is divisible by 5, it's not divisible by 10. Remember: divisible by 5 means ending in 0 or 5, but divisible by 10 means ending in 0 only.

How do I quickly check if my answer is right?

Simply divide your completed number by 10. If you get a whole number with no remainder, you're correct! For example: $520 \div 10 = 52$ exactly.

Are there other divisibility rules like this?

Yes! Numbers divisible by 2 end in 0, 2, 4, 6, or 8. Numbers divisible by 5 end in 0 or 5. Each divisibility rule has a specific pattern to look for.

What if there were multiple blanks to fill?

The same rule applies! For divisibility by 10, only the last digit matters - it must be 0. The other digits can be anything, as long as the number ends in 0.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Division - Advanced 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