How to Round Up a 9 | Rounding Decimals | Math with Mr. J

[Music] welcome to math with mr j [Music] in this video i'm going to cover how to round decimals and specifically we're going to take a look at rounding up a nine now as we go through our examples i'll show you two different ways to think through these let's jump into number one where we have 896 thousandths and the first way that we're going to think through this is to relate this to regrouping or carrying like we do in an addition problem so we're going to round to the hundredths place the digit in the hundredths place is underlined that nine so let's look to the right and see if we round up or stay the same so we look to the right and we have a six remember five or more and we round up so six is five or more we're going to round up if we round up a nine we get 10 so we put the 0 in the hundredths place and then regroup or carry the 1 from that 10 over to the next place to the left in this case the tenths place so in the tenths we have one plus eight which is going to give us nine so 896 thousandths rounds to 90 hundredths another way we can think through this let me rewrite our decimal here going to round to the hundredths is take a look at two digits so we're going to look to the right we know we're going to round up let's look at these two digits here the 89 think of this like an 89 so we round up an 89. if we round up 89 that gives us 90. so let's put our 90 here put our decimal in and our zero to show that we don't have any whole numbers and we get 90 hundredths that way as well let's try a few more examples and move on to number two where we have four and ninety-nine hundredths so we're going to round to the nearest tenth we have the digit in the tenths place underlined it's that nine so look to the right and we have a nine so we are going to round up if we round up a nine we get ten so let's think of this and relate it to regrouping or carrying so put the zero in the tenths and regroup or carry the one now we have that one and the four that's going to give us five bring our decimal down in between the ones and tenths place and four and ninety-nine hundredths rounded to the nearest tenth is five let's try it the other way so four and ninety-nine hundredths we're rounding to the nearest tenth look to the right so we round up take a look at two digits here so think of that like 49 if we round up 49 we get 50 but don't forget the decimal in between the ones and tenths place so we get 5 that way as well let's move on to number 3 where we have 47 and 295 thousandths so we're going to round to the nearest hundredth we have the digit in the hundredths place underlined it's a 9. let's look to the right and we have a five five or more we round up so we're going to round up now if we round up a nine we get 10. so let's put our zero in the hundredths and then regroup or carry the 1. 1 plus 2 gives us 3 in the tenths place put our decimal in and then the whole number so 47 and 295 thousandths rounds to 47 and 30 hundredths when we round to the nearest hundredth let's try the other way as well so nearest hundredth we know we're rounding up so look at these two digits here 29 rounded up is going to give us 30 hundredths include our decimal and whole number and we get the same thing that way as well lastly number four we have 59 and nine tenths so we're going to round to the ones place here also known as rounding to the nearest whole number the digit in the ones place is underlined we have a nine let's look to the right and we have a nine so we know that we are going to round up if we round up a nine we get ten so let's put the zero in the ones place and then regroup or carry the one now we have 1 plus 5 which gives us 6. so the nearest whole number or rounding to the ones place is going to give us 60. let's try it the other way so 59 and 9 10 rounding to the ones or nearest whole number look to the right we know that we are going to round up take a look at these two digits here and we have 59 if we round up 59 we get 60. so 59 and 9 10 rounded to the nearest whole number is going to be 60. so there you have it there's how you round decimals specifically rounding up nines i hope that helped thanks so much for watching until next time peace