VocabularyDay 1 CIM What are negative numbers? a.All numbers less than or equal to zero b.All numbers less then negative 1 (i.e., -1). c.All numbers equal to or less than negative 1 (i.e., -1). d.All numbers that students dont want to learn. e.All numbers less than zero (i.e., 0).
VocabularyDay 1 CIM What are negative numbers? Negative numbers are numbers that are less than zero. Examples: -3 -0.472 -1/2 -984.32794078 -46 3/8 - 83
VocabularyDay 1 CIM What is an integer? a.An integer is a whole number. b.An integer is a negative whole number. c.An integer is a positive whole number, zero, or a negative whole number. d.An integer is a number that can be written as a ratio of two numbers.
VocabularyDay 1 CIM What is an integer? An integer is a whole number that can be written as a positive whole number, zero, or a negative whole number. The numbers..., -4, -3, -2, -1, 0, 1, 2, 3, 4,... consisting of the negative whole numbers, zero, and the positive whole numbers are called integers. -3 and 31 are both examples of integers. They contain no decimals or fractional components.
VocabularyDay 1 CIM Which of the following is a coordinate? a.4 and 6 b.(-1.2, -4.5) c.23.45 d.c and d
VocabularyDay 1 CIM What is a coordinate? A coordinate is a pair of values that represent a point on a coordinate plane, also known as an ordered pair, (x,y). The coordinate plane is also known as the Cartesian Coordinate System. It is made up of a horizontal and a vertical number line that intersect at right angles, called the x-axis and y-axis respectively.
VocabularyDay 1 CIM What is an inequality? An inequality is a math statement or expression formed by placing a less than or greater than sign between two expressions. For example, 1 < 2 or 3x + 3 > 6 - y
VocabularyDay 1 CIM What is absolute value? Absolute value is the distance of a number from zero on the number line. It is written as |n|, where n is a real number. For example, |-4| = 4 or |x| = x and |-x| = x
VocabularyDay 1 CIM Write the expression for: The absolute value of -1? A.) -|1| B.) |-1| C.) -|-1| D.) none of the above
VocabularyDay 1 CIM Write the expression for: The absolute value of 45? A.) |45| B.) -|45| C.) |-45| D.) -|-45|
VocabularyDay 1 CIM Write the expression for: The absolute value of -32.7? A.) -|32.7| B.) |-32.7| C.) -|-32.7| D.) none of the above
VocabularyDay 1 CIM Write the expression for: The absolute value of -x 2 ? A.) -|- x 2 | B.) -| x 2 | C.) |- x 2 | D.) | x 2 |
VocabularyDay 1 CIM Write the expression for: The absolute value of -(x + 3)? A.) |-(X + 3)| B.) -|(X + 3)| C.) |X + 3| D.) -|-(X + 3)|
VocabularyDay 1 CIM What is an exponent? An exponent is a number that appears as a superscript next to a number called a base. It tells you how many times the base needs to be multiplied. The entire number is called a power or exponential power. For example, 2 4 = 2 · 2 · 2 · 2 = 16; 4 is the exponent a 8 = a · a · a · a · a · a · a · a; 8 is the exponent
VocabularyDay 1 CIM What is an exponential power? An exponential power is a term that includes a base and an exponent. It is the number that is to be multiplied times itself the total number of times expressed by the exponent. It is many times called just a power.
VocabularyDay 1 CIM What is scientific notation? Scientific notation is a way of writing very big or very small numbers so they are easier to manipulate arithmetically. When you first see a number written in scientific notation, it might look hard to read. But it really isnt once you understand why it is written like it is and practice writing numbers that way. Scientific notation involves two parts: The base number The power of ten
VocabularyDay 1 CIM Write 6,543,210 in scientific notation? 1. Move the decimal point from the right of the zero (6543210.) to the right of the left-most digit, between the 6 and 5 (6.543210) 2. Count the number of place values the decimal has been moved to the left. (In this case, it has moved to the left six places.) 3. This number is now the exponent that will be used as the power of 10, so it is written as 10 6. The answer then becomes 6.543210 x 10 6. Drop any insignificant zeros on the end of the decimal.
VocabularyDay 1 CIM Write 43,671 in scientific notation?
VocabularyDay 1 CIM What is a perfect square? A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because 4 · 4 = 16
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Every student should know the perfect squares up through 144. They arent that hard. Lets see if you can name them. 1 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Good, now lets try: 2 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Next: 3 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Try this one: 4 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? How about? 5 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Keep going... 6 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Youre more than half way! 7 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? This one is easy: 8 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? This is the last single digit one: 9 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? Everybody knows this one. 10 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? This one is a bit tough for some: 11 2 = _______
VocabularyDay 1 CIM Do you know the perfect squares between 1 and 144? And last but not least: 12 2 = _______ Great! Now lets see how knowing this can help with square roots.
VocabularyDay 1 CIM What is a radical sign? A radical sign is the sign used to identify the Operation of taking the square root of a number. Here are the square roots shown with the radical sign for the perfect squares through 144:
VocabularyDay 1 CIM What is a ratio? A ratio is a mathematical comparison of two numbers to each other that have the same dimensional units (so units are not required). The two numbers can be separated by either a colon (:) or placed on both sides of a fraction line. e.g. 4:5 is a ratio;
VocabularyDay 1 CIM Calculate a ratio. A math class has a total of 23 students. 10 are boys. Write the ratio of boys to girls in this class as a fraction? [Note: Since we are comparing students to students, there is no need to include dimensions.]
VocabularyDay 1 CIM Rewriting a ratio. Write the answer to the previous problem using the colon instead of the fractional form for a ratio.
VocabularyDay 1 CIM What is a rate? A rate is a measurement that compares two scalar dimensions, normally, but not always, between quantity and time, to each other. It is a ratio that says how long it takes to do something, or how two dimensions relate to each other in the physical world. It compares two different kinds of units, or two different things measured in different portions of the same units. Examples of rate units are: miles per hour feet per minute kilometers per day dollars per week liters per second gallons per month ounces per pound (notice different portions of the same units here) Rates are usually in dimensions of length (distance) in the numerator and time in the denominator, but not always
VocabularyDay 1 CIM When converting between rate units we use a tool called Dimensional Analysis. Dimensional analysis allows us to convert from one rate unit to another. For example, if we want to convert the number of inches per day that a snail moves to compare it to the speed of a man walking, we would use dimensional analysis to convert inches per day to miles per hour. Since certain units can be equated, for instance, 12 inches = 1 foot, we can relate them into a rate unit like this: 12 inches 1 foot
VocabularyDay 1 CIM What is percent? A percent is a number representing the ratio between a quantity and 100. Per cent means divided by 100 Thus, a numbers percentage is the relationship between the part associated with the number versus the whole quantity, represented by 100. It is equivalent to a fraction with 100 in the denominator. It is written as a number followed by the symbol %.
VocabularyDay 1 CIM Write 21 / 70 as a percent? 21 / 70 is the same as 21 divided by 70. 21 / 70 =.3 = 3/10 (10/10) = 30 / 100 = 30%
VocabularyDay 1 CIM Write 4 / 5 as a percent? a.80% b.75% c.70% d.60%
VocabularyDay 1 CIM What is percent proportion? A percent proportion is a relationship between two fractions that us often used to solve percent problems. It looks like this:
VocabularyDay 1 CIM Solving percent proportion problems: Using the percent proportion equation: The fraction of part-to-whole is expressed in this equation: What percent of 200 is 60? 60 is the part; 200 is the whole. So the equation becomes: Solving: 60:200=?:100 (The product of the means = the product of the extremes.) 6000 = 200?; ? = 6000/200 = 30
VocabularyDay 1 CIM What is a part? A part is a piece of the whole in a math problem. For example, What is 20% of 600? What represents the part, 600 is the whole. So the percent proportion problem is: part:600=20:100 (part)100=12000 part = 12000 = 120 100