Tutor profile: Susan M.
What is the relationship between whole numbers and integers?
Integers are the set of all whole numbers and their opposites. Each whole number has a corresponding opposite that can be thought of as a number on the left side of 0 on a number line that is that is exactly the same distance away from zero as its whole number opposite. For example, if we are looking at +3 and -3 on the number line, they would have the exact same distance from zero (absolute value) in opposite directions from zero. +3 would be three units to the right of zero, and -3 would be three units to the left of zero.
Subject: Basic Math
What is the difference between the area of a plane figure and the surface are of a three-dimensional figure?
When we work with the area of a plane figure we work with only 2 dimensions...length and width. These are multiplied and that gives us the measurement known as area. Although this also applies to the area of a three-dimensional figure, however, the 3-D figures also have the additional dimension of height, so we are actually looking at a geometric solid. So when we take into consideration the length and width of a single surface (front/back, top/bottom, right/left in the case of a rectangular prism) and then the number of sides of the figure must also be taken into consideration. So if you have a square with a side length of 7, the area would simply be found by multiplying 7 x 7 or 49 sq. units. However a cube with the same side length, you would be talking about 6 surfaces with that same 49 sq unit measure so you would also have to multiplying the area of that one surface by 6, which would give you the surface area of the entire cube.
An organized sequence of tones and semitones in music is known as a scale. Describe the pattern of any scale with which you are familiar and explain its pattern in terms of tones and semitones.
The natural scales, also known as the major and minor scales are organized sequences of tones based on a pattern that differs only in the where tones and semitones occur in each of the scales. In the major scale, the pattern is: tone, tone, semitone, tone, tone, tone, semitone. Some would also describe this pattern in terms of "steps" as whole, whole, half, whole, whole, whole, half. The minor scale pattern is: tone, semitone, tone, tone, semitone tone tone, or in the "steps" pattern: whole, half, whole whole half, whole whole.
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