Cube of a Number

The cube of a number is the result of multiplying the number by itself twice. In other words, it is the number raised to the power of 3.

Formula:

The cube of a number x is denoted as x³ and calculated using the formula:

x³ = x × x × x

Example:

If x = 4, then the cube of 4 is:

4³ = 4 × 4 × 4 = 64

Properties of Cubes:

The cube of a positive number is always positive.
The cube of a negative number is always negative.
The cube of 0 is 0.
The cube of a number is the volume of a cube with side length equal to the number.

Calculating the Cube of a Number:

1. To find the cube of a number, simply multiply the number by itself twice.

2. You can also use a calculator with a power function to calculate the cube of a number.

Applications:

The concept of the cube of a number is used in various fields such as mathematics, engineering, physics, and computer science. It is used to calculate volumes, solve equations, and in geometric and algebraic calculations.

Study Guide:

When studying the cube of a number, it's important to understand the concept of exponentiation and how to apply it to find the cube of a given number. Practice solving problems that involve finding the cube of both positive and negative numbers. Understand the properties of cubes and how they can be applied in real-world scenarios.

Additionally, familiarize yourself with the applications of the cube of a number in various fields and how it is used in practical situations.

◂Math Worksheets and Study Guides Eighth Grade. Displaying data

Organizing & Displaying Data

The resources above cover the following skills:

Data Analysis and Probability (NCTM)

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.

Select and use appropriate statistical methods to analyze data.

Discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.

Develop and evaluate inferences and predictions that are based on data.

Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit.

Grade 8 Curriculum Focal Points (NCTM)

Data Analysis and Number and Operations and Algebra: Analyzing and summarizing data sets

Students use descriptive statistics, including mean, median, and range, to summarize and compare data sets, and they organize and display data to pose and answer questions. They compare the information provided by the mean and the median and investigate the different effects that changes in data values have on these measures of center. They understand that a measure of center alone does not thoroughly describe a data set because very different data sets can share the same measure of center. Students select the mean or the median as the appropriate measure of center for a given purpose.

Connections to the Grade 8 Focal Points (NCTM)

Data Analysis: Building on their work in previous grades to organize and display data to pose and answer questions, students now see numerical data as an aggregate, which they can often summarize with one or several numbers. In addition to the median, students determine the 25th and 75th percentiles (1st and 3rd quartiles) to obtain information about the spread of data. They may use box-and-whisker plots to convey this information. Students make scatterplots to display bivariate data, and they informally estimate lines of best fit to make and test conjectures.

Cube of a Number

Formula:

Example:

Properties of Cubes:

Calculating the Cube of a Number:

Applications:

Study Guide:

[Cube Of A Number] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides Eighth Grade. Displaying data

The resources above cover the following skills: