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.

35 × 1 = ______

1 × 1 = ______

10 × 3 = ______

6 × 5 = ______

1 × 0 = ______

67 × 1 = ______

1 × 45 = ______

0 × 1 = ______

0 × 99 = ______

7 × 2 = ______

0 × 0 = ______

0 × 10 = ______

5. Fill in the multiplication table:

×	0	1	2	3	4	5
0
1
2
3
4
5

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.

Download ($5.20). Also available as a printed copy.

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Place Value Grade 1 Using a 100-bead abacus in elementary math Teaching tens and ones Practicing with two-digit numbers Counting in groups of ten Skip-counting practice (0-100) Comparing 2-digit numbers Cents and dimes Grade 2 Three-digit numbers Comparing 3-digit numbers Grade 3 Place value with thousands Comparing 4-digit numbers Rounding & estimating Rounding to the nearest 100 Grade 4 Place value - big numbers	Add & subtract lessons Grade 1 Missing addend concept (0-10) Addition facts when the sum is 6 Addition & subtraction connection Grade 2 Fact families & basic addition/subtraction facts Sums that go over over the next ten Add/subtract whole tens (0-100) Add a 2-digit number and a single-digit number mentally Add 2-digit numbers mentally Regrouping in addition Regrouping twice in addition Regrouping or borrowing in subtraction Grade 3 Mental subtraction strategies Rounding & estimating	Multiplication Grade 3 Multiplication concept as repeated addition Multiplication on number line Commutative Multiply by zero Word problems Order of operations Structured drill for multiplication tables Drilling tables of 2, 3, 5, or 10 Drilling tables of 4, 11, 9 Grade 4 Multiplying by whole tens & hundreds Distributive property Partial products - the easy way Partial products - video lesson Multiplication algorithm Multiplication Algorithm — Two-Digit Multiplier Scales problems - video lesson Estimation when multiplying
Division Grade 3 Division as making groups Division/multiplication connection Division is repeated subtraction Zero in division Division that is not exact (remainder) Divisibility Grade 4 How to teach long division Long division as repeated subtraction Why long division works Zero in dividend Remainder & long division Two-digit divisor Review of division topics Divisibility Divisibility within 0-1000 Divisibility rules Prime factorization 1 Prime factorization 2 Sieve of Eratosthenes	Fraction Lessons Understanding fractions Finding fractional parts with division Mixed numbers Fractions to mixed numbers and vv. Adding like fractions Equivalent fractions Adding unlike fractions 1 Adding unlike fractions 2: Finding the common denominator Adding mixed numbers Subtracting mixed numbers Subtracting mixed numbers 2 Measuring in inches Comparing fractions Simplifying fractions Multiply fractions by whole numbers Multiply fractions by fractions Multiplication and area Simplify before multiplying Dividing fractions by whole numbers Dividing fractions: fitting the divisor Dividing fractions: reciprocal numbers Dividing fractions: using the shortcut	Geometry Lessons Lines, rays, and angles Measuring angles Parallel & perpendicular Acute, obtuse, and right triangles Angle sum of a triangle Equilateral & isosceles triangles Circles Symmetry Altitude of a triangle Polygons Perimeter Area of rectangles Area of right triangles Area of parallelograms Area of triangles Area versus Perimeter Angles in Polygons (PDF) Review: Area of Polygons (PDF) Surface Area (PDF)
Decimals Lessons Decimals videos Decimals (1 decimal digit) Decimal place value (1 decimal digit) Decimals (2 decimal digits) Decimal place value (2 decimal digits) Decimals (3 decimal digits) Add & subtract (1 decimal digit) Add & subtract (2 decimal digits) Add and subtract decimals — practice Comparing decimals Multiply a decimal by a whole number Multiply decimals by decimals Divide decimals—mental math Divide decimals by decimals Multiply and divide decimals by 10, 100, and 1000 Decimals review lesson	Percents Lessons How to teach proportions Percent - the basic concept Percentage of a number—mental math How to calculate a percentage of a number How to calculate percentages Basics of percent of change	General Four habits of highly effective math teaching Why are math word problems SO difficult for children? Hint: it has to do with a "recipe" that many math lessons follow. The do's and don'ts of teaching problem solving in math Advice on how you can teach problem solving in elementary, middle, and high school math. How to set up algebraic equations to match word problems Students often have problems setting up an equation for a word problem in algebra. To do that, they need to see the RELATIONSHIP between the different quantities in the problem. This article explains some of those relationships. Seven reasons behind math anxiety and how to prevent it Mental math "mathemagic" with Arthur Benjamin (video) Keeping math skills sharp in the summer Geometric vanish puzzles Science resources Short reviews of the various science resources and curricula I have used with my own children.