How to Round Decimals | Math with Mr. J - By Math with Mr. J
Transcript
00:0-1 | Welcome to Math with mr J . In this video | |
00:05 | , I'm going to cover how to round decimals Now | |
00:08 | . Rounding is a very important skill because it's used | |
00:12 | all throughout math and life . When we round we | |
00:15 | find a close or approximate value to the number we're | |
00:18 | working with . Rounding helps us make numbers easier and | |
00:22 | simpler to work with and can even make them shorter | |
00:25 | . You've probably come across a very long decimal answer | |
00:28 | on a calculator or after working out a problem . | |
00:32 | Rounding decimals is very useful in these situations along with | |
00:37 | many others . And again , when we round we | |
00:40 | find a close value to our original number . Let's | |
00:44 | jump into our examples and see exactly how we round | |
00:48 | decimals . So for number one we have six and | |
00:52 | 78/100 . The first thing that we need to do | |
00:55 | find the place that we're rounding to . For number | |
00:58 | one we're going to round to the 10th place . | |
01:01 | Let's underline the digit in the 10th place . So | |
01:05 | that's seven . Once we have that we look at | |
01:08 | the place and digit to the right , so to | |
01:11 | the right of the place place we have the 100th | |
01:15 | place In the hundreds place . We have the Digit | |
01:18 | eight . So let's draw an arrow to show that | |
01:21 | we are looking to the right now . That digit | |
01:24 | to the right is very important . It determines if | |
01:27 | we round up or stay the same , essentially what | |
01:31 | we're doing we're seeing is this closer to six and | |
01:35 | 7/10 or is it closer to six and 8/10 ? | |
01:39 | So five or more ? We round up four or | |
01:43 | less we stay the same . Well eight is more | |
01:46 | than five . So we are going to round up | |
01:50 | I'm going to draw something that looks like an equal | |
01:53 | sign but it's with curved lines that means we're finding | |
01:57 | an approximate or rounded value . So again we're rounding | |
02:02 | up so we are rounding to six and 8/10 . | |
02:07 | That's our final rounded answer . Now I cut that | |
02:11 | decimal off after the 10th place . When we round | |
02:15 | decimals we cut them off after the rounded place . | |
02:18 | We don't need to change everything to the right to | |
02:21 | a zero . Like we do with whole numbers zeros | |
02:24 | to the right of the decimal . Do not change | |
02:27 | the value of that decimal so we can leave them | |
02:30 | off . So again we can cut that decimal off | |
02:35 | After the rounded place . So six and 8/10 . | |
02:39 | Our final rounded answer . Let's move on to number | |
02:42 | two where we have 455 1000th . Let's round this | |
02:48 | number to the 100th place . Underline the digits in | |
02:52 | the hundreds place so that five let's look to the | |
02:56 | right so we have a five in the place to | |
03:00 | the right so five or more . We round up | |
03:03 | four or less we keep the digit the same . | |
03:06 | Well that's five or more . So we round up | |
03:10 | So we round two 46/100 and we cut that off | |
03:17 | after the rounded place . So after the 100th place | |
03:21 | and our final rounded answer 46/100 . Now before starting | |
03:27 | number three , I do want to mention that there | |
03:29 | are sayings to help you remember the rounding rules for | |
03:33 | example , five or more , raise the score four | |
03:38 | or less , let it rest . Let's move on | |
03:41 | to number three where we have 27 7392 10/1000 . | |
03:49 | Let's round this one to the 1000th place . So | |
03:53 | this nine right here , Look to the right , | |
03:57 | we have a two so five or more or four | |
04:00 | or less . Well that's four or less . So | |
04:03 | we keep that nine the same here and our final | |
04:08 | rounded answer 27 and 739000s . Moving on to number | |
04:18 | four , we're going to round number four to the | |
04:20 | 100th place . So the six , let's look to | |
04:24 | the right , we have a three , five or | |
04:27 | more or four or less . Well that's four or | |
04:30 | less . So we stay the same And we round | |
04:33 | two 26 100th . Let's move on to number five | |
04:41 | where we have three and 8/10 . So we're going | |
04:45 | to round this one to the ones place . This | |
04:48 | is also known as rounding to the nearest whole number | |
04:52 | . So we're seeing is this closer to three or | |
04:56 | is it closer to four ? Let's look to the | |
04:59 | right And we have an eight . So 8 is | |
05:03 | five or more . So we round up three and | |
05:06 | 8/10 rounds to four . Now , if you were | |
05:11 | to put four decimal zero , you change that 10th | |
05:15 | place to a zero . This would still be correct | |
05:18 | . These are equal . But like we talked about | |
05:21 | earlier you can cut decimals off after the rounded place | |
05:25 | because Zeros to the right of the decimal do not | |
05:28 | change the value . Lastly let's move on to number | |
05:31 | six where we have a very long decimal and we're | |
05:34 | going to round this one to the 10th place . | |
05:37 | So let's underline the digit in the 10th . This | |
05:41 | too . Look to the right we have a nine | |
05:44 | . So is that five or more or four or | |
05:47 | less ? While nine is more than five . So | |
05:49 | we round up so I will come below here so | |
05:54 | I have enough room . This is going to round | |
05:56 | up to one and 3/10 cut off after the 10th | |
06:02 | place . Right after the rounded place Again . Final | |
06:05 | rounded answer one and 3/10 . So there you have | |
06:09 | it . There's how you round decimals . I hope | |
06:12 | that helped . Thanks so much for watching until next | |
06:16 | time . Peace . Mhm Yeah . Yeah . |
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