### Rounding

# Rounding

Rounding is the process of making numbers smoother, simpler; it's about getting rid of the fragments. This allows you to perform operations / calculations more easily, but of course, your result will not be exact, it will be more or less an approximation.

How can we make numbers easier to handle? For example, if we accept 105 as 100, it becomes smoother.

### Example;

How much money should we have if we want to buy 2 pants priced at 395 zed each? ( Zed is the currency of the imaginary country Zed )

395 zed is very close to 400 zed. If we say / consider 400 zed, then we should have about 4

00 + 400 = 800 zed. This is where we've done rounding with that "**if**". We simplified. Of course, our result is not exactly 800 zed.

What if we had accepted the price of the 395-zed pants as 300 zed ? Wouldn't we have been too wrong?

To prevent excessive deviation from the actual result, rounding should be done to the "nearest ten, hundred, and thousand".

But what if our number is right in the middle? Mathematicians have adopted a rule to round up to the next ten, hundred, thousand. For example, if our price had been 350, we would still round it up to 400.

## Before We Begin

Your teachers, YouTube videos, or other websites might talk about rounding rules. I definitely do not recommend learning and memorizing these rules. Instead, you can manage to round without rules by thinking a bit about the number to be rounded.

## Steps:

* Determine between which two tens the number falls if we're asked to round to the nearest ten, between which two hundreds if we're asked to round to the nearest hundred, and between which two thousands if we're asked to round to the nearest thousand exct..

* Determine which ten, hundred, or thousand the number is closer to.

My point is closer to A, it will be rounded to A.

My point is closer to B, it will be rounded to B.

My point is neither closer to A nor B, it's exactly in the middle. In this case, by rule, we round up to the next number, which is B.

# Rounding to the nearest whole number

# Rounding to the nearest ten ( 10 )

**seventy**' given, so what's the next ten? It's 'eighty'! So, our number is between 'seventy' and '

**eighty**', which is between 70 and 80.

### Example;

**Round 34 to the nearest ten**

**34 is rounded to 30.**

**Examples**

**3 >>> 0**

**5 >>> 10**

** 13 >>> 10**

** 93 >>> 90**

** 98 >>> 100**

** 996 >>> 1000**

# Some more examples:

# Rounding to the nearest Hundred ( 100 )

*** Determine between which two hundred the number is.**

**four hundred**and seventy-three. You already have

**'four hundred'**given, so what's the next hundred? It's '

**five hundred**'! So, our number is between '

**four hundred**' and '

**five hundred**', which is between 400 and 500.

**** Determine which hundred the number is closer to.**

# Round 46 to the nearest hundred

## Round 473 to the nearest hundred

**four**hundred) and 500 (equivalent to

**five**hundred).

## Round 954 to the nearest hundred

**nine**hundred) and 1000 (equivalent to

**ten**hundred).

## Round 4536 to the nearest hundred

**five hundred**thirty-six".

## Round 4 036 to the nearest hundred

**four thousand thirty-six.**As you see, you didn't mention any hundreds, so the next hundred after

**zero hundred**is

**one hundred**. Therefore, the number must be between 4000 and 4100.

# Rounding to the nearest Thousand( 1000 )

## Round 136 to the nearest Thousand

## Round 1520 to the nearest Thousand

**one thousand**five hundred and twenty". You already have 'one thousand' given, so what's the next thousand? It's '

**two thousand**'! So, our number must be between 1000 and 2000.

# Round 65485 to the nearest Thousand

**sixty-five thousand**four hundred and eighty-five". You already have '

**sixty-five thousand**' given, so what's the next thousand? It's 'sixty-six thousand'! So, our number must be between 65000 and 66000.

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