Properties of Whole Numbers 1

Index notation

Using powers to write the repeated multiplication (eg: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3) of a number

zero property of multiplication

a x 0 = 0 = 0 x a

identity property of multiplication

a x 1 = a = 1 x a

commutative property of multiplication

a x b = b x a

closure property of multiplication

a x b = unique whole number

Distributive Property of Multiplication Over Addition

a(b+c) = (axb) + (axc) and (a+b)c = (ac) + (bc)

Associative Property

a+(b+c) = (a+b) +c

Additive-Identity Property of Zero

a+0=0+a=a

Commutative Property

a+b=b+a

last two digits are divided by 4

4

Tens

Decenas

Say

Decir

Digits

Digitos

ax(b+c) = (axb) + (axc)

Distribuative Property of Multiplication Over Addition

(a+b)c = (ac) + (bc)

Distributive Property of Multiplication Over Addition

Thousands

miles

Whole number

números enteros

associative property of multiplication

(a x b) x c = a x (b x c)

Multiplication by Zero Property

0 x b = b x 0 = 0

end in 0

10

last digit is even

2

add the digits up and if the sum is divisible by 3 the number is

3

last digit is 5 or 0

5

has to follow rule 2 and 3

6

take the last digit, double it, and subtract it from the rest of the number

7

last three digits as a number is divisible by 8

8

add up all the digits and divide by 9

9

Prime number

A number that can only be divided by 1 and itself. The numbers left at the bottom of the tree

Factor

A number that divides evenly into another number. 3 is a factor of 15 (look at the chart!)

Expanded notation

A way of writing a number that shows the place value of every digit

Addition Property of Zero

Adding 0 to any number leaves it unchanged.

Additive Inverse of a Number

Adding the inverse of a number will give you the answer zero. 5 + -5 = 0

a+0=0+a =a

Additive- Identity Property of Zero

18 + 0 = 18

Additive-Identity Property of zero

Multiple

Answers to the Times Tables (eg: Multiples of 3 are: 3, 6, 9, 12, 15 etc.)

a + (b+c) = (a+b) +c

Associative Property

(12+15) + (5+38) = 50 +20

Associative and Commutative

(17 + 14) + 13 = 30 + 14

Associative and Commutative Property

Each

Cada

Every

Cada

Divisibility test

Cheats for testing whether a number can be divided by 2, 3, 4, 5, 6, 7, 8, 9 and 10

12,345,678 + 97,865,342 is a whole number

Closure Property

two whole numbers = a whole number

Closure Property

14 + 18 = 18 + 14

Commutative Property

a+b=b+a

Commutative Property

Count

Contar

There

Hay

Players

Jugadores

Place

Lugar

bx1=1xb=b

Multiplication identity Property of 1

Multiplication Property of Zero

Multiplying any number by 0 yields 0.

Multiplicative Inverse of a Number

Multiplying the inverse of a number will give you the answer of 1. 1/5 x 5/1 = 5/5 = 1

Numbers

Numeros

Ones

Queridos

Origin

The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)

Identity Property of Multiplication

The product of any number and one is that number.

Order of operations

The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12

Identity Property of Addition

The sum of any number and zero is the original number.

Distributive Property

The sum of two numbers times a third number is equal to the sum of each addend times the third number.

Place value

The way that the position of a digit in a number tells us its value

10 Family

This refers to the amount of zeros in a number. We DIVIDE to the left and MUL-TI-PLY-I-I to the right

Associative Property of Addition

When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

Associative Property of Multiplication

When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands.

Commutative Property of Addition

When two numbers are added, the sum is the same regardless of the order of the addends.

Commutative Property of Multiplication

When two numbers are multiplied together, the product is the same regardless of the order.

Place value chart

When we write numbers, each column has a special value

identity property of addition

a + 0 = 0 + a

(a+b)+c=a+(b+c) (ab)c=(cb)a

associative property of addition associative property of multiplication

Multiplication Identity Property of 1

b x 1 = 1 x b = b

Hundreds

cientos

a+b=b+a a x b= b x a

commutative property of addition commutative property of multipilcation

Chart

diagrama

a(b+c)= ab+ac

distributive property

Score

el puntaje

distributive property

factoring is this property's reverse

commutative property of addition

if a and b are whole numbers, then a + b = b + a. (ex. 9+6=6+9)

closure property of addition

if a and b are whole numbers, then a + b is a whole number

associative property of addition

if a,b, and c are whole numbers, then (a + b) + c = a + (b + c)

closure

if an operation is performed on any two elements of a set and the result is an element of the set

Closure Property

two whole numbers = a unique whole number

Value

valor