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# 8th rational & algeb

### 8th grade knowledge map rational numbers and algebraic reasoning

Question | Answer |
---|---|

Decimals, percents and fractions are different ways to express the _____ | same value |

_____ are parts per hundred. | Percents |

_____ are numbers that when multiplied give a product. | Factors |

To _____ fractions you need to have a common denominator. | add or subtract |

When adding or subtracting fractions with common denominators, add or subtract the numerators and keep the denominators _____ | the same |

_____ is dividing the numerator and denominator by the greatest common factor. | Simplifying fractions |

The _____ is the largest number that two or more numbers can be divided by. | greatest common factor |

When multiplying _____ multiply the numerators and the denominators, then simplify. | simple fractions |

When multiplying mixed numbers change the mixed numbers to _____ , multiply the numerators and the denominators and simplify. | improper fractions |

To _____ multiply the first fraction by the reciprocal of the second fraction. | divide simple fractions |

The _____ is the inverted form of the fraction. | reciprocal |

A fraction with a zero in the _____ is equal to 0. | numerator |

A fraction with a zero in the _____ is undefined. | denominator |

The _____ of a fraction can be found by dividing the numerator by the denominator. | decimal form |

_____ are all the natural numbers and their opposites. | Integers |

_____ numbers are the set of whole numbers excluding 0. | Natural |

Positive and negative numbers are _____ . | opposites |

The sum of opposites is always _____ . | zero |

Adding a negative numbers is the same as _____ . | subtraction |

When two numbers with opposite signs are multiplied or divided, the answer is always _____ . | negative |

When two numbers with the same sign are multiplied or divided, the answer is always _____ . | positive |

A number's _____ is its distance from zero. | absolute value |

The symbol for _____ is | |. | absolute value |

A _____ number is the product of two identical numbers. | square |

A number that is multiplied by itself to form a product is called the _____ of that product. | square root |

A _____ is the symbol used to represent a square root. | radical |

A _____ number is the number that can be written as a/b where a and b are integers, but b is not equal to 0. | rational |

An _____ number is a number whose decimal form is nonterminating and nonrepeating. | irrational |

_____ is a way to express a very large or very small number as the product of a number between 1 and 10 and a power of 10. | Scientific notation |

_____ is a branch of mathematics that uses variables to generalize the rules of numbers and operations. | Algebra |

An _____ is made up of variables and constants joined by addition and subtraction. | algebraic expression |

A _____ is the numerical part of the term. | coefficient |

_____ are terms that are exactly the same except for their coefficients. | Like terms |

A _____ is a numerical term that does not change. | constant |

An _____ is a mathematical sentence showing two expressions are equal. | equation |

To _____ an equation means to find all the values of the variable(s) that make the equation true. | solve |

_____ are operations that undo each other. | Inverse operations |

An equation can be changed and remains equal only when the same operation is done to _____ . | both sides |

A _____ is a predictable relationship where one variable depends on another. | function |

_____ is the set of x-coordinates of the set of points on a graph. | Domain |

_____ is the set of y-coordinates of the set of points on a graph. | Range |

The _____ is a two-dimensional region determined by a pair of axes that uses ordered pairs to represent the location of an object. | coordinate plane |

The coordinate plane is divided into 4 _____ or sections and are numbered counter clockwise. | quadrants |

The x-axis is the _____ number line on the coordinate plane. | horizontal |

The y-axis is the _____ number line on the coordinate plane. | vertical |

_____ is the point of intersection of the vertical and horizontal axes of the coordinate plane. The coordinates for this are (0,0). | Origin |

When analyzing data, you look for _____ , not point to point differences. | patterns and trends |

_____ are established over time with 3 to 5 data points. | Trends |

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suev503