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# What is a table of values?

By Filsan on the 6th of December, 2012

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A table of values is a list of numbers that are used to substitute one variable, such as within an equation of a line and other functions, to find the value of the other variable, or missing number.

By jagadish on the 14th of January, 2013

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What is a table of values?

You can graph any equation using a table of values. A table of values is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph.

## Why Use a Table of Values?

In order to graph a line, you must have two points. For any given linear equation, there are an infinite number of solutions or points on that line.

If you just find two of the solutions, then you can plot your two points and draw a line through. This will be the line that represents the equation. Every point on that line is a solution to the equation.

In my table, I have 4 columns as described below:

 The first column is for the x coordinate. For this column, I can choose any number I wish. Try to choose numbers that can be graphed on your graph. For example, if your x axis only extends to 10, don't choose 12 as an x coordinate. The second column is for substituting x into the equation in order to solve for y. So, whatever value I chose for x, I will substitute back into the equation and solve to find the y value. The third column is for the y value. After substituting your x value into the equation, your answer is the y coordinate. The last column is for your ordered pair. Your ordered pair is the x value and the y value. This is the point on your graph.

By Bridget Gaskin on the 17th of January, 2013

## Find the minimum and maximum values of a number that has been rounded off

There are two different ways of specifying where a number should be rounded off. They are:

• Decimal Places
• Significant Figures (see next Number Topic)

### Basic Method

1. IDENTIFY the position of the LAST DIGIT.
2. Then look at the next digit to the RIGHT - called the DECIDER.
3. If the DECIDER is 5 or more, then nROUND UP ther LAST DIGIT. If the DECIDER is 4 or less , then leave the LAST DIGIT as it is.

### Decimal Places (D.P.)

This is pretty easy:

1. To round off, lets say to 3 decimal places, the LAST DIGIT will be the 3rd one after the decimal point.
2. There must be no more digits after the last digit (not even zeros).

### Maximum and Minimum Values When Rounding

Wherever a measurement is rounded off to a given UNIT the actual measurement can be anything up top HALF A UNIT bigger or smaller.

Example: If we round 20.8cm to the nearest centimetre, it becomes 21cm.

If we are given the number 21cm and told it has been previously rounded to the nearest centimetre, we do not know what number it was originally. For example it could have been 21.2cm, or 20.9cm, or 20.756cm. What we do know, is the biggest (maximum) or smallest (minimum) number it could possibly have been.

• The minimum value it could have been, is 20.5cm (any smaller, even a tiny bit, and it would have rounded down to 20cm, not up to 21cm)
• The maximum value it could have been, is 21.499999999…cm. Because this looks messy, we tend to just say the maximum value it could have been before rounding is 21.5cm.

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