Inductive and Deductive Reasoning in Mathematics

<p>Gram</p> Signup and view all the answers

<p>To allow scientists to communicate effectively and efficiently</p> Signup and view all the answers

<p>Mass quantifies the amount of substance present and volume quantifies the amount of space occupied</p> Signup and view all the answers

<p>Mass divided by volume</p> Signup and view all the answers

<p>Mass divided by volume</p> Signup and view all the answers

<p>Imperial System</p> Signup and view all the answers

<p>To create larger or smaller units by multiplying or dividing by a power of ten</p> Signup and view all the answers

<p>inch</p> Signup and view all the answers

<p>gram</p> Signup and view all the answers

<p>cup</p> Signup and view all the answers

<p>second</p> Signup and view all the answers

<p>Working backwards</p> Signup and view all the answers

<p>When they have the same units</p> Signup and view all the answers

<p>We get an answer with squared units</p> Signup and view all the answers

<p>A set of ratios that are equal to each other</p> Signup and view all the answers

<p>The fixed number that shows the relationship between the first quantity and the second quantity</p> Signup and view all the answers

<p>We get an answer with fraction units</p> Signup and view all the answers

<p>Newton</p> Signup and view all the answers

<p>k = y/x</p> Signup and view all the answers

<p>All of the above</p> Signup and view all the answers

<p>To make them alike</p> Signup and view all the answers

<p>A comparison of two values with different units</p> Signup and view all the answers

<p>Add, subtract, and multiply them</p> Signup and view all the answers

<p>A rate simplified to a denominator of one</p> Signup and view all the answers

<p>All of the above</p> Signup and view all the answers

<p>To measure the amount of one unit it takes for something to happen in other units</p> Signup and view all the answers

<p>By taking a defined period of time and measuring the output during that time</p> Signup and view all the answers

<p>Problem solving methods</p> Signup and view all the answers

<p>To draw conclusions that are logically likely</p> Signup and view all the answers

<p>Using mathematical algorithms</p> Signup and view all the answers

<p>It is irrefutable, if the premises are accurate</p> Signup and view all the answers

<p>When the problem is complex and the solution is difficult to determine</p> Signup and view all the answers

<p>To start with the final number</p> Signup and view all the answers

<p>To determine the beginning</p> Signup and view all the answers

<p>When the problem would result in a messy equation if attempted in a straightforward way</p> Signup and view all the answers

<p>The problem is complex and the solution is difficult to determine</p> Signup and view all the answers

<p>The beginning is determined</p> Signup and view all the answers

<p>To solve a problem that can be easily undone in a step-by-step method</p> Signup and view all the answers

<p>A proportion</p> Signup and view all the answers

<p>The numerator is multiplied by the constant of proportionality to get the denominator</p> Signup and view all the answers

<p>k = y/x</p> Signup and view all the answers

<p>By counting the number of squares along the x and y axes</p> Signup and view all the answers

<p>A rate</p> Signup and view all the answers

<p>A rate is a comparison of two values, while a unit rate is a simplified rate</p> Signup and view all the answers

<p>All of the above</p> Signup and view all the answers

<p>By taking a defined period of time and measuring the output during that time</p> Signup and view all the answers

<p>To find the amount of one unit it takes for something to happen in other units</p> Signup and view all the answers

<p>Meter</p> Signup and view all the answers

<p>To reduce miscommunications and errors</p> Signup and view all the answers

<p>Metric system</p> Signup and view all the answers

<p>Density = Mass / Volume</p> Signup and view all the answers

<p>Mass is the amount of substance, and volume is the amount of space occupied</p> Signup and view all the answers

<p>To create larger units from smaller ones</p> Signup and view all the answers

<p>Liter</p> Signup and view all the answers

<p>The more matter, the more space occupied</p> Signup and view all the answers

<p>Pound</p> Signup and view all the answers

<p>Intensive property</p> Signup and view all the answers

<p>ounce (oz) and pound (lb)</p> Signup and view all the answers

<p>centimeter (cm), meter (m), and kilometer (km)</p> Signup and view all the answers

<p>To make different units alike</p> Signup and view all the answers

<p>We end up with an answer with squared units</p> Signup and view all the answers

<p>When they have the same units</p> Signup and view all the answers

<p>milliliter (ml), liter (L), and kiloliter (kl)</p> Signup and view all the answers

<p>Second, minute, and hour</p> Signup and view all the answers

<p>We end up with an answer with fractional units</p> Signup and view all the answers

<p>They behave like variables</p> Signup and view all the answers

<p>To represent a symbol for something we don't know</p> Signup and view all the answers

<p>To draw conclusions that are logically likely</p> Signup and view all the answers

<p>Deductive reasoning</p> Signup and view all the answers

<p>It is irrefutable</p> Signup and view all the answers

<p>When a messy equation would result from a straightforward approach</p> Signup and view all the answers

<p>To determine the beginning of a problem from its end</p> Signup and view all the answers

<p>Complex problems with unclear intermediate steps</p> Signup and view all the answers

<p>Start with the final result</p> Signup and view all the answers

<p>Conclusions that are logically likely</p> Signup and view all the answers

<p>Inductive reasoning involves logically likely conclusions, while deductive reasoning involves objective truths</p> Signup and view all the answers

<p>When a problem is clearly defined and the end result is clear</p> Signup and view all the answers