One-step multiplication & division equations (article) | Khan Academy (2024)

Learn to solve equations like "4x = 20" or "y/3 = 7".

Want to join the conversation?

Log in

  • Makayla

    6 years agoPosted 6 years ago. Direct link to Makayla's post “So even if you have a fra...”

    So even if you have a fraction it just means to divide but you should multiply?

    (65 votes)

    • TaelorW

      3 years agoPosted 3 years ago. Direct link to TaelorW's post “Yes exactly so in the las...”

      One-step multiplication & division equations (article) | Khan Academy (4)

      One-step multiplication & division equations (article) | Khan Academy (5)

      Yes exactly so in the last problem you would cancel out the 4 by multiplying it by 4 and what ever you do on one side of the equal sign you have to do on the other so you would multiply 18 by 4 to get 72.

      (26 votes)

  • jorge mendoza

    5 years agoPosted 5 years ago. Direct link to jorge mendoza's post “i dont get this, it says ...”

    i dont get this, it says "what you do to one side, you do to the other" so if you have x/5=7 you have to multiply each side by 5, so is it 5x5=25 and 7x5=35? if so what happened to the 25?

    (13 votes)

  • Bailey

    4 years agoPosted 4 years ago. Direct link to Bailey's post “the only one I don't unde...”

    the only one I don't understand is the first one,any tips?

    (18 votes)

    • Brian

      3 years agoPosted 3 years ago. Direct link to Brian's post “You divide by 8 on each s...”

      You divide by 8 on each sides so 72/8 =9

      (7 votes)

  • samaimoore126

    4 years agoPosted 4 years ago. Direct link to samaimoore126's post “Is there any way i cant g...”

    Is there any way i cant get taught better for inverse operation

    (11 votes)

    • Azza Safa

      4 years agoPosted 4 years ago. Direct link to Azza Safa's post “If you are looking for an...”

      One-step multiplication & division equations (article) | Khan Academy (17)

      If you are looking for another video or some reference to use for inverse operation, I would recommend using Math Antics or Mathceraptops (YouTube channel).This are the places i personally do to for second opinions. I am not sure if Math antics has a video about inverse operation but Mathceraptops sure do.

      (19 votes)

  • vaca,Natalia

    6 years agoPosted 6 years ago. Direct link to vaca,Natalia's post “If a letter is close to a...”

    If a letter is close to a number how do you solve the equation?

    (4 votes)

    • Maggie

      a year agoPosted a year ago. Direct link to Maggie's post “I'm assuming your referri...”

      I'm assuming your referring to something such as 7x = 14
      in this case, you would use 7x to say that 7 of that variable is equal to 14 in which case x = 2. This works because 7x is used to refer to multiplication easily during algebra since if you tried 7 x X = 14, it can get a bit confusing. While you can also use
      7 ⋅ X = 14 (⋅ being another form of multiplication symbol) but it's much less common.

      TLDR; when a number is by a variable it means to multiply the variable by the number.

      (6 votes)

  • Hakase

    2 years agoPosted 2 years ago. Direct link to Hakase's post “About the "what you do to...”

    About the "what you do to one side, you do to the other".
    To understand the logic behind this, first let's imagine a beam balance in front of you, it has two blocks on each side each weighing 200 grams, thus the two sides are equal.

    However if you add another 100g block on one side, the balance becomes uneven, as in 200g < 300g . To solve this we add another 100g block to the other side, so the beam balance becomes even again, as in 300g = 300g . That's why what you do on one side you also do to the other, when solving an equation.

    TL:DR; We do that to avoid a false equation.

    (8 votes)

  • Victoria

    7 years agoPosted 7 years ago. Direct link to Victoria's post “I don't get any of this. ...”

    I don't get any of this. ... I tried to understand it but I can't.
    ;-; Can someone help me please? I am confused how u get a fraction number when ur doing this. Help please :/

    (8 votes)

    • TechGuru2000

      a year agoPosted a year ago. Direct link to TechGuru2000's post “Ok, let's start simply, w...”

      Ok, let's start simply, with this equation:w5=55, which can also be written as w.5=55.

      The dot represents the multiplication sign, and if the letter and the number are joined together, that also represents multiplication.

      In this Lesson, we were taught that to solve for w in w.5=55, we need to use the inverse operation, which basically means the opposite of the operations, addition is the opposite of subtraction, and multiplication is the opposite of division.

      We were also taught that we need to use the inverse for both places, not just one, so it can be a balanced equation, an example of that is w.5=55 if the . represents multiplication, we divide instead.

      So we would do 55/5, which is the same as a fraction (a fraction is another form of showing division, the / represents division and fractions, and the numerator is divided by the denominator), and 55/5 or 55 divided by 5 is equal to 11, so w is equal to 11, or w=11.

      Now for division, for the equation t/6=7, or 7=t/6 (they are the same thing, just put in a different format, keep that in mind), we use inverse operation, as shown in the Lesson, and we know what type of inverse operation it is because t/6 is division -because it's a fraction-, so we use multiplication instead so to solve for t in t/6=7, we multiply 7 by 6, which, keep in mind, can be represented as 7 . 6, or 7 X 6, and 7 X 6 is equal to 42, so t=42

      (1 vote)

  • Aidan H

    3 years agoPosted 3 years ago. Direct link to Aidan H's post “how do you do thisss w . ...”

    how do you do thisss w . 5 = 55 like what is this?

    (3 votes)

    • BruinWarrior

      3 years agoPosted 3 years ago. Direct link to BruinWarrior's post “The dot represents multip...”

      The dot represents multiplication. So "w . 5 = 55" is just "w times 5 is equal to 55."

      (6 votes)

  • hailey.long1

    9 months agoPosted 9 months ago. Direct link to hailey.long1's post “so judt to get it straigh...”

    so judt to get it straight if the equation has dividing i multiply for the answer and the check with division. And then vice-versa for multiplication.

    (4 votes)

    • Kim Seidel

      9 months agoPosted 9 months ago. Direct link to Kim Seidel's post “Yes, that's correct.”

      Yes, that's correct.

      (4 votes)

  • rorqua3961

    a year agoPosted a year ago. Direct link to rorqua3961's post “will i ever use a decimal...”

    will i ever use a decimal ever in dividing or multiplying these?

    (4 votes)

    • KingMonkey24

      a year agoPosted a year ago. Direct link to KingMonkey24's post “These problems use fracti...”

      These problems use fractions rather than decimals. However you could do a similar thing with an equation in decimal form like: 3.1x = 2.8. Here you divide both sides by 3.2 to get x = 2.7/3.1 or x = 0.875. Fractions can also be expressed as decimals take: 1/2 = 0.5. So if 2x = 1 then x = 0.5.

      (2 votes)

One-step multiplication & division equations (article) | Khan Academy (2024)

References

Top Articles
Latest Posts
Article information

Author: Francesca Jacobs Ret

Last Updated:

Views: 5686

Rating: 4.8 / 5 (68 voted)

Reviews: 91% of readers found this page helpful

Author information

Name: Francesca Jacobs Ret

Birthday: 1996-12-09

Address: Apt. 141 1406 Mitch Summit, New Teganshire, UT 82655-0699

Phone: +2296092334654

Job: Technology Architect

Hobby: Snowboarding, Scouting, Foreign language learning, Dowsing, Baton twirling, Sculpting, Cabaret

Introduction: My name is Francesca Jacobs Ret, I am a innocent, super, beautiful, charming, lucky, gentle, clever person who loves writing and wants to share my knowledge and understanding with you.