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S1-numbers

Descriptions of terms associated with numbers

TermDescription
whole numbers Are numbers not written as fractions or decimals and they do not have negative sign e.g. 0,1,2,3,...
factors Are numbers that can be multiplied together to get another number. A number can have many factors. E.g. 4x7=28. In this e.g. 4 and 7 are factors of 28.
composite numbers Are numbers with more than 2 factors. E.g. 28 is a composite number because it can be obtained by multiplying some of these factors together: 1,2,4,7,28
prime numbers Are numbers that have only 2 factors. The factors are 1 and itself. E.g. 2,3,5,7,…
integers Are like “whole numbers”. They can be positive or negative and they include zero. E.g. …-3,-2,-1,0,1,2,3,…
multiples Are numbers produced by multiplying 2 integers together. E.g. 15 is a multiple of 3 because 3x5 is 15.
prime factorisation Is a way of writing a composite number as a product of prime numbers e.g. 68 is written as 2x2x17
square numbers A square number is produced when a number is multiplied by itself. E.g. 3x3 = 9. [9 is a square number.]
square roots Is represented by √. The square root of 16 is 4 and is written as √16 = 4. In this e.g. we are finding the number which when multiplied by itself gives 16. Square numbers and their square roots are the “opposite” of each other.
cube A cube number is produced when a number is multiplied by itself three times. e.g. 3x3x3 = 27. [27 is a cube number.]
cube root Is represented by ∛. The cube root of 27 is 3 and is written as ∛27 = 3. In this e.g. we are finding the number which when multiplied by itself three times gives 27. Cube numbers and their cube roots are the “opposite” of each other.
multiply Another word for it is "time". The symbol or short form used is "x".
denote represent
product Is the answer obtained when 2 or more numbers are multiplied together.
index Also known as “power”. The index shows the number of times a base (or number) is multiplied by itself. E.g. 1024 can be written as 4⁵ (4 is the base and 5 is the index)
rational numbers Are numbers that can be written as fractions. They look like a/b where "a" and "b" are integers and "b" cannot be zero. E.g. 2.5 and 5 are rational numbers because 2.5=5/2 and 5=5/1
real numbers Are numbers that can be written as decimals and can be shown on a number line.
number line Is a line used to show the order of real numbers. For any 2 numbers on a horizontal number line, the number on the right will always be bigger. However for any 2 numbers on a vertical number line, the number on top will always be bigger.
terminating decimals Are numbers with a fixed number of decimal places e.g. 2.05, -1.369, 0.75(=¾), -1.8(=-1⅘)
non-terminating decimals Are numbers with no ending to their decimal places e.g. π , √3 , -0.333..., ⅙
repeating decimals Also known as recurring decimals. They have one or more digits showing repeated pattern after the decimal point e.g. 2.111..., 3.8181..., -4.333...(= -4⅓), 5.1666...(= 5⅙), -0.666...(=-⅔)
Created by: edugan_hoh