Math

A:

In the third grade, compatible numbers are estimated figures that are used to make mental arithmetic simpler. Compatible numbers are very close to the actual numbers and yield a similar result with less work.

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    • How big is a stack of one trillion dollar bills?

      Q: How big is a stack of one trillion dollar bills?

      A: A stack of one dollar bills equals $100 and measures .43 inches high, which means that $1 trillion dollar bills would stack to a height of approximately 67,866.16 miles. The moon is about 238,855 miles from the Earth, which would require a stack of $3.5 trillion dollar bills to reach.
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    • In mathematical terms, what does "factor" mean?

      Q: In mathematical terms, what does "factor" mean?

      A: A factor is a number or expression that divides another number or expression evenly without a remainder. For instance, two, four, five and 10 are factors of 20 because 20 can be divided by all those smaller numbers an exact number of times. Prime numbers are positive integers greater than one that have exactly two factors. A composite number has more than two factors.
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    • What does "median" mean in mathematics?

      Q: What does "median" mean in mathematics?

      A: The median is the number that is in the middle in a list of sorted numbers. To find the median, the numbers must be sorted from lowest to highest.
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    • What are the notable mathematical problems that feature pi?

      Q: What are the notable mathematical problems that feature pi?

      A: Some mathematical problems that feature pi are the area of a circle, a circle's circumference, arc length and the different surface area and volume formulas for a cone, sphere and cylinder. In mathematics, the ratio between a circle's circumference and diameter is given as pi.
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    • Who created numbers?

      Q: Who created numbers?

      A: The Babylonian society used a cuneiform method of writing that included numerical characters; this is the earliest-known form of numbers, meaning that, as far as humans know, the Babylonians created numbers. This system of numerical writing is about 5,000 years old, and it is a base-60 system as opposed to a base-10 system, which is what most humans use for counting and mathematics in the modern world. Time measurements, in which an hour consists of 60 minutes and a minute consists of 60 seconds, are one example of a sexidecimal, or base-60, numerical system that is alive and well in the modern world.
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    • How much money is in a roll of quarters?

      Q: How much money is in a roll of quarters?

      A: In the United States, a roll of quarters is worth $10. It includes 40 quarters.
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    • How do you calculate the midpoint Riemann sum?

      Q: How do you calculate the midpoint Riemann sum?

      A: A Riemann sum is a method of approximating the area under the curve of a function. It adds together a series of values taken at different points of that function and multiplies them by the intervals between points. The midpoint Riemann sum uses the x-value in the middle of each of the intervals.
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    • What is the precise definition of a limit in calculus?

      Q: What is the precise definition of a limit in calculus?

      A: The definition of a limit in calculus is the value that a function gets close to but never surpasses as the input changes. Limits are one of the most important aspects of calculus, and they are used to determine continuity and the values of functions in a graphical sense.
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    • What are some common Pythagorean triples?

      Q: What are some common Pythagorean triples?

      A: A Pythagorean triple is a set of three positive integers, (a, b, c), such that a right triangle can be formed with the legs a and b and the hypotenuse c. The most common Pythagorean triples are (3, 4, 5), (5, 12, 13), (8, 15, 17) and (7, 24, 25).
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    • How are logarithms used in the world?

      Q: How are logarithms used in the world?

      A: A few examples of how logarithms are used in the real world include measuring the magnitude of earthquakes or the intensity of sound and determining acidity. A logarithm explains how many times a number is multiplied to a power to reach another number. It is expressed as loge(x) and is commonly written as ln(x).
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    • What is a nonlinear function in math?

      Q: What is a nonlinear function in math?

      A: A nonlinear function in math creates a graph that is not a straight line, according to Columbia University. Three nonlinear functions commonly used in business applications include exponential functions, parabolic functions and demand functions. Quadratic functions are common nonlinear equations that form parabolas on a two-dimensional graph.
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    • How is calculus used in medicine?

      Q: How is calculus used in medicine?

      A: According to class notes from Bunker Hill Community College, calculus is often used in medicine in the field of pharmacology to determine the best dosage of a drug that is administered and its rate of dissolving. Usually, the drug is slowly dissolved in the stomach.
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    • What is a pie graph used for?

      Q: What is a pie graph used for?

      A: A pie graph is an effective visual tool used for showing how something breaks into parts. A pie graph is essentially a circle sliced into 100 pieces. Each category or part represented in the pie graph is given a piece of the pie to represent the percentage that it comprises of the whole.
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    • How is data turned into information?

      Q: How is data turned into information?

      A: According to the BBC, data is transformed into information after being imported into a database or spreadsheet. Information is defined as a collection of facts or data, whereas data is defined as information organized for analysis or used to reason.
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    • How is a tally chart made?

      Q: How is a tally chart made?

      A: To make a tally chart, single lines are drawn next to one another until reaching five, where the fifth line crosses the four other lines diagonally. This is a simple charting method that can be used quickly for surveys or other needs.
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    • What are the names of graphs?

      Q: What are the names of graphs?

      A: Several types of graphs are used for displaying information in mathematics including the bar graph; pie chart or circle graph; histogram; stem and leaf plot; dot plot; scatter plot; and time-series graphs. The type of graph chosen depends on whether the data is quantitative, qualitative or paired.
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    • Why are graphs important?

      Q: Why are graphs important?

      A: Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Graphs are used in many academic disciplines, including math, hard sciences and social sciences. They make appearances in corporate settings, serving as useful tools to convey financial information and facilitate data analysis.
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    • When do you use a bar graph?

      Q: When do you use a bar graph?

      A: A bar graph is used to compare items between different groups and track changes over a period of time. Bar graphs are best used for changes that happen over a large amount of time instead of just months or weeks.
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    • See More Data Graphs Questions