Numbers, Part I

The foundation of exact thought as applied to natural phenomena. An Introduction to Mathematics, 1911.

A.N. Whitehead

A study of space and quantity. Mathematics and the Physical World, 1959.

Kline

The science which investigates the means of measuring quantity. Elements of Algebra, 1765.

L. Euler.

the least, or smallest, common multiple of two or more numbers.

LCM, least common multiple

Fully Divine, Fully Human Concrete Finite Many

Name different ways to describe diversity.

God General Eternal Continuous

Name different ways to describe unity.

John Saxon said, "A number is an ___________."

idea

All __________ are real numbers.

integers

in both multiplication and division, an operation between two numbers with the same sign always results in a positive answer.

like signs

a x 1 = a Any number times 1 equals that number.

multiplicative identity

Absolute value has to do with the __________ and not the _____ in front of it.

number; sign

the top value in a fraction

numerator

a number that is divisible by itself and 1; such as 2,3,5,7,11, etc.

prime number

The size of one thing relative to another.

ratio

Mathematics is considered the language of ________.

science

When working problems with absolute value, it is important to ____________ first.

simplify

Mathematics helps us to know that if we search for _________, we can often find it.

truth

in both multiplication and division, an operation between two numbers with different signs always results in a negative answer.

unlike signs

The Hindus, Arabians, and Mayans all started using the number _____ around the time of Christ's birth.

zero/0

absolute value symbol

|a|

(a + b) + c = a + (b + c) When adding two or more numbers the order in which pairs are grouped does not matter.

associative property for addition

(ab)c = a(bc) When multiplying more than two numbers the order in which pairs are grouped does not matter.

associative property for multiplication

Mathematics is the classification and study of all possible patterns. Prelude to Mathematics, 1955.

W.W. Sawyer

the __________ ________ of a equals a; the __________ value of -a also equals a.

absolute value; absolute

God's divine nature is also ____________, because He exists regardless of our feelings and beliefs about Him.

abstract

a + 0 = a Any number plus zero equals that number.

additive identity

if a and b are real numbers, then a x b = a + (-b), and, -b is the opposite of b.

algebraic subtraction

if a + b = c, then b + a = c. Order does not matter.

commutative property for addition

if ab = c, then ba = c. Order does not matter.

commutative property for multiplication

Natural numbers are also called ____________.

counting numbers

a simplified and efficient method of writing fractions.

decimal numbers

the bottom value in a fraction

denominator

a(b + c) = ab + ac

distributive property

The first major post-Flood civilization was ________.

Babylon

the greatest, or largest, factor that two or more numbers have in common.

GCF, greatest common factor

A group who's pursuit of geometry helped develop our understanding of math's abstract nature.

Greeks

The group which was famous for ignoring infinity and irrational numbers.

Greeks

A group known for worshiping numbers.

Pythagoreans

A God-given tool for measuring and classifying patterns and shapes.

Shormann

Evidences that God scattered the Babylonians as described in Genesis 11 include ancient civilizations' widespread use of the sexagesimal, or base ___, numeral system.

Sixty/60