# Multiplying by Zero

This is a complete lesson for third grade, with teaching and exercises, about multiplying by zero. Students learn the meaning of a number times zero, or zero times a number, both as regards to equal-size groups and number line jumps. The exercises involve filling in the table of zero and the table of one, and some miscellaneous multiplication problems.

Five groups, each has zero giraffes.

5 × 0 = _____

Zero groups or NO groups of five giraffes.

0 × 5 = 0

 Take three jumps of zero steps.   Where do you end up?    3 × 0 = 0.  Take ZERO or no jumps  of three steps:   0 × 3 = 0. (no jumps)

Remember, multiplication means you have so many of the same-sized groups.

 How many groups how many in each group How many groups How many in each group 4 × 0 = 0 + 0 + 0 + 0  =  0 0 × 4 = 0 (empty groups) (nothing)

Don't forget about multiplying by one, either.    Four groups, each has one giraffe.

4 × 1 = 1 + 1 + 1 + 1 = _____    One group has four giraffes.

1 × 4 = _____

1. Let's see if you understood! Multiply.

 a. 0 × 5 = _____    0 × 0 = _____ b. 1 × 1 = _____    1 × 9 = _____ c. 0 × 10 = _____    1 × 10 = _____ d.  6 × 1 = _____     6 × 0 = _____

2. Fill in the easy multiplication tables of zero and one.

 Table of Zero 1 × 0 = _____2 × 0 = _____ 3 × 0 = _____4 × 0 = _____ 5 × 0 = _____ 6 × 0 = _____ 7 × 0 = _____8 × 0 = _____9 × 0 = _____10 × 0 = _____ 11 × 0 = _____ 12 × 0 = _____
 Table of One 1 × 1 = _____ 2 × 1 = _____ 3 × 1 = _____ 4 × 1 = _____ 5 × 1 = _____ 6 × 1 = _____ 7 × 1 = _____8 × 1 = _____ 9 × 1 = _____10 × 1 = _____ 11 × 1 = _____ 12 × 1 = _____

3. Solve. You can draw to help.

a.  Mommy bought four cartons of eggs. Each carton had six eggs but
two of the eggs were bad. How many good eggs did Mommy get?

 _____ × _____ – _____ = ________
b. Mary has a jar of marbles, a jar of pretty stones, and a jar of pine cones.
Each jar has 20 things in it. How many things does Mary have in these jars?

4. Multiply.

 a. 35 × 1 = ______ 1 × 1 = ______ 10 × 3 = ______ b. 6 × 5 = ______ 1 × 0 = ______ 67 × 1 = ______ c. 1 × 45 = ______ 0 × 1 = ______ 0 × 99 = ______ d. 7 × 2 = ______ 0 × 0 = ______ 0 × 10 = ______

5. Fill in the multiplication table:

 × 0 1 2 3 4 5 0 1 2 3 4 5

This lesson is taken from Maria Miller's book Math Mammoth Multiplication 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.

#### Math Mammoth Multiplication 1

A self-teaching worktext for 3rd grade that covers multiplication concept from various angles, word problems, a guide for structural drilling, and a complete study of all 12 multiplication tables.