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Place Value, Rounding & Algorithms for Addition &


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additive comparison
Problems that ask how much more (or less) one amount is than another
associative property of addition
When the grouping of terms changes, the sum stays the same.
ADDEND
any number being added
array
a picture that uses rows (---) and columns (I) to show a multiplication problem
add
two combine, put together two or more quantities
algorithm
a step-by-step method for computing
COMPARISON BARS
used to represent larger & smaller amounts in a comparison situation
compare
To decide if one number is greater than, less than, or equal to.
data
A collection of information gathered for a purpose. Data may be in the form of either words or numbers.
commutative property of addition
If the order of the terms changes, the sum stays the same.
Compose
To put together components or basic elements.
Estimate
round
Decompose
to separate into components or basic elements
difference
the answer to a subtraction problem
digit
Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Equation
A mathematical sentence that contains an equals sign
equal
having the same value
fact family
A group of related facts that use the same numbers. Also called related facts.
expression
A mathematical phrase without an equal sign.
expanded form
the number written using addition for each place value.
Evaluate
To find the value of a mathematical expression.
greater than
>; the number to the left of the sign is MORE than the number to the right
less than
<; the number to the left is FEWER than the number to the right
line plot
A diagram showing frequency of data on a number line.
Identity Property of Addition
The sum of 0 and any number is that number.
number line
a diagram that represents numbers as points on a line.
multiplicative comparison
Compare by asking or telling how many times more one amount is as another.
place value
The way that the position of a digit in a number tells us its value
pattern
A repeating or growing sequence or design. An ordered set of numbers or shapes arranged according to a rule.
Period
In a large number, periods are groups of 3 digits separated by commas or by spaces.
related facts
Related addition and subtraction facts or related multiplication and division facts. Also called fact family.
round a whole number
To find the nearest ten, hundred, thousand, (and so on).
sum
the answer to an addition problem
reasonableness
An answer that is based upon good number sense.
SUBTRACT
an operation that gives the difference between two numbers
Sequence
A set of numbers arranged in a special order or pattern.
standard form
the number written with digits
Range
The difference between the greatest number and the least number in a set of data.
word form
A way of using words to write a number.
Variable
an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.
Whole Numbers
Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.