# Maths: Rounding – the ultimate challenge!

Right Year 5, we’ll be very impressed if anyone can solve this.

**When a number is rounded to the nearest 100,000 it is 300,000.**

**When it is rounded to the nearest 10,000 it is 340,000.**

**What could the number be?**

Don’t forget – there may be more than one answer.

Good luck!

It could be 341,000 and 342,000 and 343,000 and 344,000

Done that is all I would think of

Well investigated Mia.

Is 344,000 the highest number that it could be?

It could be any number under 345,000.

The answer could be 340,000 ,341,000, 342,00, 343,000, 344,000.

Well investigated Jayden.

Is 340,000 the lowest number that it could be?

It could be under the number 345,000.

And the answer is 341,000, 342,000, 343,000, 344,000

339,000

Well investigated Zip.

Is this the only number that it could be?

Th number can be from 335000 to 449000

Th number can be 335000-449000

Well investigated Franek.

Does 449,000 round to 340,000 when rounded to the nearest ten?

hi i love these lessons and thank you

Hi Jake.

Glad that you’re enjoying them.

Have you solved this one yet?

Mr Bushell

335,000 up to 349,999

Well investigated boys.

What is 349,999 when rounded to the nearest 10?

it must be 405 i am not queit sure

Well investigated Amelia.

Think about the place value of the numbers involved. How many digits do they have?

335,000

337,000

340,856

343,009

More than 9,900 ways.

Well investigated Hargun. Did you not fancy writing down all 9,900 ways?

How do you know there are 9,900? What is the lowest and highest possibility?

. the first one no because if it is 100,000 and it is 4 and bellow it would round to 100,000. But if it is 5 and more it would round to 200,000 so it would not round to 300,000.

Hello Brooke

You are looking for a number that rounds to 300,000 when rounded to the nearest hundred thousand and 340,000 when rounded to the nearest ten thousand.

Does that help?