Finding the Minimum Addition to Transform 34 into Whole Tens

Addition to Nearest Multiple with Base-Ten System

What is the least amount of units we can add to the number 34 in order to get a number consisting only of whole tens?

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Step-by-step written solution

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1

Understand the problem

What is the least amount of units we can add to the number 34 in order to get a number consisting only of whole tens?

2

Step-by-step solution

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

  • Calculate the next multiple of ten greater than 34.
  • Determine the difference between this next multiple of ten and 34.

Now, let's calculate:

The smallest multiple of ten greater than 34 is 40. Therefore, we need to calculate 4034 40 - 34 .

The difference is 4034=6 40 - 34 = 6 .

Therefore, the solution to the problem is 6 6 .

3

Final Answer

6 6

Key Points to Remember

Essential concepts to master this topic
  • Concept: Find next multiple of 10 above given number
  • Method: Calculate 40 - 34 = 6 units needed
  • Check: Verify 34 + 6 = 40 is whole tens ✓

Common Mistakes

Avoid these frequent errors
  • Adding units to make next whole number instead of next multiple of ten
    Don't add just 1 to get 35 = not whole tens! This creates a number ending in 5, not 0. Always find the nearest multiple of 10 above your starting number.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

What does 'whole tens' mean exactly?

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Whole tens are numbers that end in zero, like 10, 20, 30, 40, etc. They're complete groups of ten with no leftover units!

Why can't I just round 34 to 30?

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The problem asks for the least amount to add, so you must go up, not down! Going from 34 to 30 would require subtracting 4, not adding.

How do I find the next multiple of 10?

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Look at the ones digit of your number. If it's 4 (like in 34), you need 6 more to reach 10. So 34 becomes 40, which is 4 × 10.

What if the number already ends in zero?

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If your number already ends in 0 (like 30, 50, 80), then it's already whole tens! The answer would be 0 units to add.

Can I use this method for larger numbers?

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Absolutely! For any number like 347, find how many units to add to the ones place: 10 - 7 = 3 units, so 347 + 3 = 350.

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