# Multiplying decimals example | Decimals | Pre-Algebra | Khan Academy

We’re asked to multiply 32.12,
or 32 and 12 hundredths, times 0.5, or just 5 tenths. Now when you multiply decimals,
you multiply them the exact same way you would
multiply whole numbers, and then you count the number of
spaces behind the decimal you have in your two numbers you’re
multiplying, and you’re going to have that many spaces
in your product. Let me show you what
I’m talking about. So let’s just multiply
these two characters. So we have 32.12 times 0.5. And when you write them out, you
can just push both of them all the way to the right. You could almost ignore
the decimal. Right now, you should write the
decimal where they belong, but you can almost pretend that
this is 3,212 times 5, and then we’ll worry about
the decimals in a second. So let’s get started. So if we were just multiplying
5 times 3,212, we would say, well, 5 times 2 is 10. Regroup the 1. 5 times 1 is 5, plus 1 is 6. 5 times 2 is 10. Regroup the 1. And then finally, you have 5
times 3 is 15, plus 1 is 16. And then we don’t have
any other places. If we were just doing this as
05, we wouldn’t multiply 0 times this whole thing. We would just get 0 anyway. So just 5 times 3,212 gives
us this number. But now we want to care
about the decimals. We just have to count the total
number of spaces or places we have behind the
decimal point in the two numbers we’re multiplying. So we have one, two, three
spaces, or three numbers, to the right of the decimals in
the two numbers that we’re multiplying. So we need that many numbers to
the right of the decimal in our answer. So we go one, two, three, put
the decimal right over there. So 32.12 times 0.5 is 16.060. And this trailing zero right
here we can ignore, because it’s really not adding any
information there. So we could just write
this as 16.06. The last thing you want to do
is just make sure that this makes sense. You have a number that’s
almost 32, and we’re multiplying it by 0.5. Remember, 0.5 is the same thing
as 5 over 10, which is the same thing as 1/2. So we’re really multiplying
32.12 times 1/2. We’re trying to figure out what
one half of 32.12 is. And half of 32 is 16, and half
of 0.12 0.06, so this makes complete sense.

## 100 thoughts on “Multiplying decimals example | Decimals | Pre-Algebra | Khan Academy”

1. Tatum Payne says:

what

2. Maren Denise says:

Why do I not get any math????

3. Joseph _ says:

Thanks

4. lolbit the fox says:

I was working on homework and I need to reresh on multiplying decimals thx khan academic!

5. Holly says:

thank you

6. Nicholas Vaccari says:

that didnt change ANYTHING i knew about math. infact i know nothing about math. im only in 5th grade

7. Nicholas Vaccari says:

i don't get this

8. Eat_my_Product says:

HA! im in 3rd grade and im learning this

9. H-BOMB 101 says:

I am better than all of you i am in 9th grade (jk)

10. Venus says:

this i hope will help me, cause last year when i was in 5th grade, i was absent the day we were learning about this and no one ever told me how, and in 6th grade (2/2/2017) we were doing multiplying decimals bingo. since i had no absolute knowledge of this, im praying this will help. so im putting it on loop and listening to it for an hour.

11. Haroon Syed says:

Thank you This helped me a lot. I'm in fifth grade.

12. Saif Al Loosh says:

thaks

13. Saif Al Loosh says:

thanks*

14. Mukuka says:

i did not watch is the answer 160.6 khan academy and answer it?

15. The Magnus Pow Films says:

Godly

16. hikikomori girl says:

thank you sensei you make life easier by explaining math in the most simple way

17. Christopher Herdman says:

hiiii

18. Ricky Cheng says:

I already knew how to multiply decimals but I had to do watch it.

19. Rekha Healy says:

I thought this would be hard but the way he explained it makes SUPPER easy

20. anna kathryn says:

OMG I GET IT NOW

21. Kym Inspire My Creativity says:

Thank you very helpful!

22. Yihenew Abtew says:

khan academy is pretty cool thank you

23. RaiderLuke says:

I hate comments that beg for likes

Like if you agree -:(

24. T HB says:

Good job of explaining to the kiddos!! Sweet and simple!

25. Just Paige says:

This is 56% why I am passing math. RIP me I'm doomed. ;-(

26. DanoFlex YT says:

I'm in 7th grade just forgot how to do it 😂😂😂

27. Geo Boy says:

I'm am/2017

28. Rampager 101 says:

anything times0.5 is like dividing it in half

29. Salma Abdi says:

Im watching this 2017 and it helps me in 6th grade

30. Sarah Tv says:

I hate you you stink

31. Sarah Tv says:

sorry

32. Tachanka The Bass Booster says:

Subscribe to Itz_yer_boi? plz i need it yes thats wat its called

33. jamie williams says:

thank you know i get it

34. Karen L says:

I am a kid sooooooooo,YAY!!!!!!!!

35. yokohamamike says:

this relay helps me do do math

36. Jzoo Wap says:

Did it bother anyone else that he didn't put a dot under 0?

37. April Rains says:

So does that mean when your counting the number of spaces behind your product, the zero never counts?

38. Richard Mason says:

This is simply didactic instruction and has no element of learning. People who tack in are actually self selecting……they actively WANT to know. This is boring teaching as it has always been done.

39. Parker Mueller says:

Why have it all the way over there? Is it possible to put it in the right place?

40. Felicity Young says:

My teacher made me go to video that told me stuff I already knew. 5th grade. What it's like.

41. Benjamin Clotfelter says:

interesting…

42. Benjamin Clotfelter says:

helps a lot in 5th grade thx

43. Dedicated_Whomba says:

thank you this really helped

44. Sanjay Arman Kumar says:

Thank you so much for this! This actually helped me with my Homework! THANK YOU SO MUCH! 😉😃

45. funtime foxy 99 says:

I don't get it.😕😕

46. maddie forward says:

thank you.

47. Calter Bro's says:

someone reply to this comment in 5 yrs

48. Ayesha Hoque says:

when you dont know simple math and youre too afraid to ask, you come to khan academy

49. ant hayes says:

Thanks you l am a kid

50. lmarie says:

Simple but gold. Thanks 🙂

51. XD Gachagirl2007 says:

Thx for the help

52. Cute Mochi says:

so i have this problem, i am trying to find out this lmao, but a different version, i have 7.9 x 3, for example i do need some help.. haha

53. Rin Rin says:

My teacher brought me here.

54. Suddenly Sydnei says:

Thank u sooo munch khan academy

55. Ni Tin says:

Me Before: OMG THIS IS SO HARD! UGH!
Me Watching: Hmmm…Ima try my problem again, maybe this time I'll get it..
Me After: OMG I GOT IT! YES! FINALLY!

I always use the calculator, but my teacher always tells us to SHOW our work, and I usually did that. This time I used the calculator first and then I couldn't get it. xd Thank you so much Khan Academy!

56. Potato Tomato says:

I am missing years worth of knowledge in math

57. blue moon x says:

this is so helpful. I have a quiz in the morning, in my 6th grade math class, and now I know what to do. thank you

58. Jake ‘s Storytime & More says:

2018?

59. Jeff553 Studios says:

60. Nifty SMM2 says:

Ducc succ

61. Awesomeness Gaming says:

Thanks I'm in 5th grade and I got a test on it tommorow

62. }{JAY}{ }{JAY}{ says:

didn't help at all -_-

63. Shereen p Abughosh says:

I am in 5th grade

64. Shereen p Abughosh says:

Thx

65. Ben says:

Thanks so much.

66. BlooBerry says:

Thank you, you saved my life. I'm probably gonna pass the 6th grade now. All I need is one F to fail, so I really gotta try this year.

67. sunil john says:

thx for your help

68. Thelma Yanquiling says:

Am how to make a 0.73 and 0.4 what is the answer

69. Monreau Myles says:

thx it helped alot

70. Silicon Sledgehammer says:

Thank you, this video helped me a lot. I can now easily multiply decimals😃

71. Brady Dillner says:

it helps

72. sean holder says:

Great!

73. Starrry says:

i actually got it

74. Gavin Dunn says:

yay I'm not going to fail this test now that you

75. Gavin Dunn says:

what holdup…………………..oh now I see the problem . I forgot to end it off with explained it to me
:^)

76. Iftikhar Ahmed says:

40×0.000002=????….please sir solve this

77. xoxo. camille says:

thank you so much for this. i’m in 6th grade and decimals are so hard. my teacher is the worst teacher ever but this is very helpful

78. Dean Jones says:

You are actually RIGHT

79. Joyly Joy says:

hi your not from the future he posted this thing 8 years ago

80. Puneet Mann says:

Bruh I watched this video because half the time I and my 5th grade class ask my teacher DO YOU EVEN ENGLISH WOMAN???

81. Una Ex Gachatuber says:

Someone in 2019?

Thank you Khan Academy!! 😭😭😭 I’m 23 years old and have NEVER been strong at math, and all my teachers growing up in school here in California never wanted to take the time and REALLY TEACH ME, One on One so I grew up with a HUGE insecurity and fear of math. But that’s negatively affected my job hunt and now I’m on the prowl to re-learn what I didn’t understand growing up, and you guys are FANTASTIC!!! Thank you again! Keep up the amazing work 😊😘🤩👏🏾

83. Mateo Laban says:

this was so helpful thanks so much😃

84. Mehakk 079 says:

Thx a lot helped me in a test

85. Mehakk 079 says:

and the vid was short perfect

86. Rosseli Medrano says:

Sal is the best at explaining thanks

87. elser family says:

88. WhiteChocolateBear says:

This helped me a lot! Thanks!🌸🌸🌸

89. Lewis Morgan says:

My mum made me do homework so I picked a short useful vid LOL 🙂

90. Besuto 287 says:

Who's here before exams?

91. Wolfgirl557 love says:

you forgot to line the decimals

92. Mikail Imthiyaz says:

thanks alot khan! i will forever be in debt with you for your service to me!

93. Brody Kalwinski says:

I’m goin in sixth grade and just remembering how to do this stuff

94. DEMON TURTLE says:

I'm in 6th grade and my teacher doesn't explain it just shows it and that's it so thank you

95. Some communist robloxian says:

Pure gold for 7th graders

96. Mimi says:

im in 7th grade and i still learn this OMG i hope i learn from this ps.im at the beggining of the vid

97. Jerrell Womack says:

This is my homework my teacher gave me

98. Ryan Galt says:

Great! I have a meth test tomorrow so this really helped😄💯💯💯📵

99. Ryan Galt says:

Math

100. Reina Mae Macaraeg says:

you re wrong