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# Mathematics

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

Describe the result of adding a large positive number and a smaller negative number. | The result is a smaller positive number, and his the same as ignoring the signs and subtracting the smaller number from the larger. |

How do you convert a fraction into a decimal? | Divide the top number (numerator) by the bottom number (denominator). |

What is the key step that must be performed in order to add or subtract unlike fractions? | You must find lowest (least) common denominator. |

How do you divide one fraction by another? | You invert the divisor and multiply the numerators together and the denominators together. |

How can you convert a decimal into a percent? | Multiply the decimal by 100 and add the %. Move the decimal point 2 places to the right and add the %. |

How do you convert a fraction into a percent? | Convert it to a decimal, move the decimal point 2 places to the right and add the %. |

How do you change a decimal into the nearest equivalent fraction? | Multiply the decimal by the desired denominator. The results become the numerator in the fraction. |

What are two different ways that a ratio may be expressed? | As a fraction. By placing a colon (:) between the two numbers. By using the word "to" between the two numbers. |

What is a proportion? | A statement of equality between two or more ratios. |

What is meant by the root of a number? | A root is two or more equal smaller numbers that, when multiplied together, equal the specified numbers. |

How do you find the square of a number? Give an example. | Multiply the number by itself. Examples 4 x 4 = 16, 7 x 7 = 49. |

What is a common method of making computations involving very large or very small numbers more manageable? | Convert the numbers into scientific notation by using powers of 10. |

How is 100,000 expressed as a power of 10? | 10^5 (10 to the 5th power). |

What formula is used to find the area of a rectangle and of a triangle? | For a rectangle, A = L x W For a triangle, A = 1/2 (B x H). |

Define Pi | Pi is a constant that expresses the relationship between the circumference of a circle and its diameter and is approximately equal to 3.1416. |

Describe a trapezoid. | A trapezoid is a closed, four-sided figure having two parallel sides and two sides that are not parallel. |

What is the formula for computing the area of a circle? | A= Pi rÂ² |