Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name___________________________ Date______________ Mod____ Number Line, Square Roots, and Sets -A number line can be used to show the sets of natural numbers, whole numbers, and integers. Values greater than zero, or positive numbers, are listed to the right of zero, and values less than zero, or negative, are listed to the left of zero. -Another set of numbers you can display on a number line is the set of rational numbers. A rational number can be written in the form________ Example 1: Graph each set a. {...–4, –2, 0, 2, 4, 6} ____________________________________________ 4 1 2 5 b. { , , , } 3 3 3 3 ____________________________________________ c. {integers less than –3 or greater than or equal to 5} ____________________________________________ -On a number line, 4 is four units from zero in the positive direction and –4 is four units from zero in the negative direction. │–4│= 4 and │4│= 4 Example 2: Find each absolute value a. │–7│ 7 b. │ │ 9 Example 3: Evaluate 15 – │x + 4│ if x = 8 Square Roots -A square root is one of two equal factors of a number. For example, the square root of 64 is 8 since 8 times 8 equals 64. The symbol is called a radical sign and represents the square root. 64 = 8 indicates the principal square root – 64 = –8 indicates the negative square root 64 = 8 indicates both square roots of 64 Example 4: 49 a. 256 b. .81 Example 5: Replace each ○ with >, <, or = to make each sentence true. a. 14 ○ 196 b. 48 ○ 6.999999999 Example 6: Name the set of numbers to which each belongs: a. 5/22 b. 121 c. 56 d. –36/4