AA (NUMBERS)

35問 • 1年前

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a quantity that can be expressed as an infinite decimal expansion. - Defined as the union of both rational and irrational number.

real numbers

Is the set of all members which can be expressed in the form a/b, where a and b are integers and b≠0. This includes all integers and non-integers.

rational numbers

Is the set of all members which cannot be expressed in the form a/b, where a and b are integers and b≠0.

irrational numbers

Is the set of all positive numbers and negative numbers plus zero.

integers

Is the set of all fractions and terminating decimals.

non integers

Is the opposite of positive numbers. This are denoted by the negative sign (-) on the left of each numbers. Unlike positive numbers, the value of a _ is larger the more it is nearer to 0. Hence, the number - 2 is higher than -5. All _ are smaller in value than positive numbers.

negative numbers

Is the set of all counting numbers and O.

whole numbers

It is the number that divides the positive numbers and negative numbers. It is neither positive nor negative.

zero

Also known as Natural or Counting Numbers, positive numbers are numbers starting from 1 and above. These are the numbers that we always use in counting.

positive numbers

_ is a representation of all the real numbers on a horizontal line such that each point on the line corresponds to a real number and every real number corresponds to a point on the line. This graphical representation allows us to visually display real numbers by associating them with unique points on a line.

number line

always remain and follow the same pattern in mathematics. Differences only appear on what part of the _ is being focused on.

number line

describes the distance from zero that a number is on the number line, without considering direction. It is denoted by 2 of the symbol "I" that is written on the left and right of the number. Thus, the absolute value of -5 is written in symbols as |-5|-

absolute value

Two real numbers can be added in either order.

commutative property of addition

Two real numbers can be multiplied in either order.

commutative property of multiplication

When three real numbers are added, it makes no difference on either which two are added first.

associative property of addition

When three real numbers are multiplied, it makes no difference on either which two are multiplied first.

associative property of multiplication

Multiplication distributes over addition

distributive property

The sum of zero and a real number equals the number itself.

additive identity property

The product of 1 and a real number equals the number itself.

multiplicative identity property

The sum of a real number and its opposite is 0.

additive inverse property

The product of a nonzero real number and its reciprocal is 1.

multiplicative inverse property

Adding a real number to both sides of a true equation produces another true equation.

addition property of equality

Multiplying both sides of a true equation by a nonzero real number produces another true equation.

multiplication property of equality

Subtracting a real number to both sides of a true equation produces another true equation.

cancellation property of addition

Multiplying both sides of a true equation by a nonzero real number produces another true equation.

multiplication property of equality

The product of zero and any real number is zero

multiplication property of zero

If zero is divided by any non-zero real number. The result is zero.

division property of equality

We do not define division by zero

division by zero is undefined

The opposite of a real number a can be obtained by multiplying the real number by -1

multiplication by -1

The opposite of the product of two numbers is equal to the product of one of the numbers and the opposite of the other.

placement of minus sign

The product of the opposites of two real numbers is equal to the product of the two real numbers.

product of two opposites

9 properties of real numbers

commutative property of addition commutative property of multiplication associative property of addition associative property of multiplication distributive property additive identity property multiplicative identity property additive inverse property multiplicative inverse property

3 properties of equality

addition property of equality multiplication property of equality cancellation property of addition

3 properties of zero

multiplication property of zero division property of equality division by zero is undefined

3 properties of negation

multiplication by -1 placement of minus sign product of two opposites

KPWKP (kakayahang pangkomunikatibo ng mga pilipino)

Samantha Danielle Sibayan · 29問 · 2年前

KPWKP (kakayahang pangkomunikatibo ng mga pilipino)