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Level 491

Operations with Rational Numbers


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Integers
the set of positive whole numbers and their opposites(negative numbers) and 0
Rational numbers
Numbers that include integers, wholes, and natural numbers.
negative numbers
-amounts owed
opposites
two numbers that have the same absolute value but have different signs
Positive numbers
represents points to the right of the zero. p63
Multiplicative Identity
The product of any number and one (=1) is the number itself.
commutative property of addition
If the order of the terms changes, the sum stays the same.
additive inverse
the opposite of a number
absolute value
The distance of a number from zero on a number line; shown by | |
Repeating Decimal
A decimal in which one or more digits repeat infinitely. Example: 0.757575...
Additive Identity
The additive identity is 0. a + 0 = 0 + a = a
multiplicative inverse
reciprocal of a number
Zero Pair
Pair of numbers whose sum is zero
commutative property of multiplication
If the order of factors changes, the product stays the same.
Terminating Decimal
A decimal number that ends or terminates. Example: 6.75
Associative Property
The property that states that when you add or multiply numbers, you can group the numbers in any combination and you will get the same sum or product.
Commutative Property
The property that states that when you add or multiply numbers, you can add them or multiply them in any order and still get the same sum or product.
distributive property
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
Identity Property of One
The property that states that the product of 1 and any number is that number
Identity Property of Zero
The property that states that the sum of zero and any number is that number
long division
a special procedure to divide larger numbers
Natural numbers
A group of numbers that include 1,2, 3,.....
negative numbers
the set of numbers less than zero
Opposites/Opposite Numbers
two different numbers that have the same absolute value
reciprocal
One of two numbers whose product is 1; it is also called multiplicative inverse.
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.
coordinate plane
A plan formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.
order of operations
The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself
Base
the number that is written with an exponent
factor
A number that divides evenly into another number. 3 is a factor of 15 (look at the chart!)
power
a number produced by raising a base to an exponent