Rounding

= = 99 = Mr. Rounder makes 6,798... round up to 7,000 and 201 ...round down to 200.=

= =

=**Rounding Numbers **=  A rounded number has **about the same value ** as the number you start with, but it is **less exact. **

 For example, 341 rounded to the nearest hundred is 300. That is because 341 is closer in value to 300 than to 400.  When rounding off to the nearest dollar, $1.89 becomes $2.00, because $1.89 is closer to $2.00 than to $1.00

** Rules to Remember for Rounding [[image:Default_Line]] **
 ** Here's the general rule for rounding: **


 * **If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. ** Example: 38 rounded to the nearest ten is 401
 * **If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. ** Example: 33 rounded to the nearest ten is 30



===**What Are You Rounding to? Let's remember first, the place value names of a whole number: When rounding a number, you first need to ask:  **<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">what are you rounding it to? **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, and so on. **=== <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Consider the number 4,827.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">All the **<span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">numbers to the right of the place you are rounding to become zeros <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">. **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Here are some more examples:
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">4,8 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">27 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> rounded to the nearest <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">ten <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> is 4,8 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">30
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">4, <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">827 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> rounded to the nearest <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">hundred <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> is 4, <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">800
 * <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">4,827 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> rounded to the nearest <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">thousand <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> is <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">5,000


 * <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">34 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> rounded to the nearest ten is <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">30
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">6, <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">809 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> rounded to the nearest hundred is 6, <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">800
 * <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">1,951 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> rounded to the nearest thousand is <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">2,000

**<span style="color: #0000ff; font-family: 'Comic Sans MS',cursive; font-size: 130%;">Rounding and Decimals **
<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Rounding decimals **<span style="color: #0000ff; font-family: 'Comic Sans MS',cursive; font-size: 120%;">works exactly the same way **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">as rounding whole numbers. The only difference is that instead of rounding to tens, hundreds, thousands, and so on, you round to tenths, hundredths, thousandths, and so on.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> ** Let's remember the place value names of decimals: **

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">


 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 16px; line-height: 23px;">7. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 16px; line-height: 23px;">8 <span style="font-family: 'Comic Sans MS',cursive; font-size: 16px; line-height: 23px;">199 rounded to the nearest tenth is 7. <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 16px; line-height: 23px;">8
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">1.0 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">6 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">21 rounded to the nearest hundredth is 1.0 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">6
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">3.87 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">9 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">2 rounded to the nearest thousandth is 3.87 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">9

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">Here's a tip: to **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">avoid getting confused **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> in rounding long decimals, **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">look only at the number in the place you are rounding to and the number that follows it. **

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> For example, to round 5.3 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">8 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">24791401 to the nearest hundredth, just look at the number in the hundredths place

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> 5.3 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">8 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">2 —8 and the number that follows it 5.38 <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">2 <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> —2.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Then you can easily round it to 5.38 because 2 is closer to 0 than 9.

**<span style="color: #008080; font-family: 'Comic Sans MS',cursive; font-size: 130%;"> Rounding Sums and Money **
<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Rounding can **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">make sums easy. **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> For example, at a grocery store you might pick up items with the following prices: <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">If you wanted to know about how much they would cost, you could add up the prices with a pen and paper, or try to add them in your head. Or you could do it the simple way—you could estimate by rounding off to the nearest dollar, like this: <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">By rounding off, you could easily figure out that you would need about $6.00 to pay for your groceries. This is pretty close to the exact number of $5.82. <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> As you can see, in finding a round sum, it is quickest to **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">round the numbers before adding them. **
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">$2.25
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">$0.88
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">$2.69
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">$2.00
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">$1.00
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">$3.00