Module 1 · Numbers and number sets · Lesson 2 of 39

Identity numbers

0 is the identity for addition and 1 is the identity for multiplication.

In this lesson · about 6 minutes

  • Name the identity numbers for addition and multiplication
  • Use them to simplify quickly

An identity number doesn't change the "identity" of the number it works on.

  • The identity for addition is 0: 17 + 0 = 17.
  • The identity for multiplication is 1: 4 × 1 = 4.

Adding nothing leaves what you had, and taking one copy of something leaves it as it is. This idea comes back later when we multiply a fraction by 22 or 55 (both equal to 1) to rewrite it without changing its value.

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Question 1

1.Which number is the identity for multiplication?

Question 2

2.What is −56 + 0?

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