What is Multiplication?

What is Multiplication?

Note:

Multiplying integers is just like performing a bunch of additions of the same integer! Check out this tutorial and see how much multiplying and repeated addition have in common.

Keywords:

  • Multiply
  • Integer
  • Integers
  • Multiplication
  • Times
  • Repeated addition
  • Numbers
  • Number
  • Multiply numbers
  • Multiply integers

Background Tutorials

  • Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

      • How Do You Add Integers Using a Number Line?How Do You Add Integers Using a Number Line?

      How Do You Add Integers Using a Number Line?

      Combining integers? You could use a number line to help find the answer! In this tutorial, see how to use a number line to add together integers with the same sign and ones with opposite signs. Take a look!

Further Exploration

  • Fluently multiply multi-digit whole numbers using the standard algorithm.

      • How Do You Do Long Multiplication?How Do You Do Long Multiplication?

      How Do You Do Long Multiplication?

      Multiplying together large numbers? No problem! In this tutorial, you'll see how to perform long multiplication to find the answer (without using a calculator!). Take a look!

  • Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

      • How Do You Multiply and Divide Numbers with Different Signs?How Do You Multiply and Divide Numbers with Different Signs?

      How Do You Multiply and Divide Numbers with Different Signs?

      A positive times a positive is a positive. A negative times a negative is a positive. What about a negative times a positive? This tutorial gives you the answer by showing you how multiply (and divide!) with mixed signs.

      • How Do You Figure Out the Sign of a Product or Quotient?How Do You Figure Out the Sign of a Product or Quotient?

      How Do You Figure Out the Sign of a Product or Quotient?

      Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!