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Transcript
A digit
A number
One of the ten number symbols from
0 to 9. The position of a digit shows
its value.
Represents a quantity and is made up of digits
Expanded form
A way to write a number that shows
the value of each digit.
Example of expanded form:
2 365:
2 000 + 300 + 60 + 5
(2 x 1 000) + (3 x 100) + (6 x 10) + (5 x 1)
(2 x 103) + (3 x 102) + (6 x 101) + (5 x 100)
Increasing order
Decreasing order
Writing numbers from least to
greatest (ascending order)
Writing numbers from greatest to least (descending
order)
Equal Representations
***Make sure to compare numbers of the same place
value
To compare numbers
Symbols to know:
>(greater than)
<(less than)
=(equal to)
≠(not equal to)
≥ (greater than or equal to)
≤ (less than or equal to)
Even number
Odd numbers
Any whole number that ends with the
digits 0,2,4,6 or 8
Any whole number that ends with the digits 1, 3, 5, 7
or 9
Cycle 3
Elementary
Patterns
Integers:
Natural numbers and their opposites
(negatives eg: -7).
0 is positive and negative (neutral)
∞= infinity
To find the value and
the position of a digit
within a number
Place value (units/ones)
Place value (thousands)
1 ten = 10 ones
1 hundred = 10 tens
1 thousand = 10 hundreds
= 100 tens
Ten thousand = 10 thousands
= 100 hundreds
Rounding numbers
Example of rounding:
5 824 to the nearest hundred :
Approximate a number to a given place
5 800 (round down because 2<5)
value
5 824 to the nearest thousand
***Remember the poem***
6 000 (round up because 8>5)
Exponent
Represents the number of times a
number is multiplied by itself.
Example: 24 = 2x2x2x2 = 16
Rule for rounding : 0, 1, 2, 3, 4,  same
5, 6, 7, 8, 9  add 1