Simplifying a Rational Expression
... Domain of an Algebraic Expression The set of real numbers for which an algebraic expression is defined is the domain of the expression. Two algebraic expressions are equivalent when they have the same domain and yield the same values for all numbers in their domain. For instance, the expressions ...
... Domain of an Algebraic Expression The set of real numbers for which an algebraic expression is defined is the domain of the expression. Two algebraic expressions are equivalent when they have the same domain and yield the same values for all numbers in their domain. For instance, the expressions ...
Full text
... This means that, if Tn is any triangular number written in base 9 notation, annexing any number of 1's on the right provides another triangular number, and the new subscript can be found by annexing the same number of 1's to the subscript of Tn, where n is written in base 3 notation. The numbers in ...
... This means that, if Tn is any triangular number written in base 9 notation, annexing any number of 1's on the right provides another triangular number, and the new subscript can be found by annexing the same number of 1's to the subscript of Tn, where n is written in base 3 notation. The numbers in ...
2013
... 1007 distinct integers in our set. Now, a1006 = 502, so there are at most 503 distinct nonnegative integers for n < 1007 (the numbers 0 − 502). However, since Dn < 1 for all n < 1007, it is impossible for any integer below 502 to be “skipped”. Thus every nonnegative integer not greater than 502 is r ...
... 1007 distinct integers in our set. Now, a1006 = 502, so there are at most 503 distinct nonnegative integers for n < 1007 (the numbers 0 − 502). However, since Dn < 1 for all n < 1007, it is impossible for any integer below 502 to be “skipped”. Thus every nonnegative integer not greater than 502 is r ...
Whatcom County Math Championship – 2016 Individual – 4th Grade
... 3. What is the average of the first 5 even numbers? 4. If 9 more than four times a number is 61, what is the number? 5. What is 28? 6. What is the next term in this sequence: 108, 72, 48, ____? 7. What is the sum of the first 8 square numbers? 8. When it is 11:00, what is the angle measure between t ...
... 3. What is the average of the first 5 even numbers? 4. If 9 more than four times a number is 61, what is the number? 5. What is 28? 6. What is the next term in this sequence: 108, 72, 48, ____? 7. What is the sum of the first 8 square numbers? 8. When it is 11:00, what is the angle measure between t ...
Ann Khadaran
... (a) 2.6003 (b) 1.6003 (c) .6003 (d) If the numbers greater than 1 have the same digits, then the common logs of the numbers will have the same values following the decimal and will differ only in the value preceding the decimal. The value preceding the decimal of the common log will be one less than ...
... (a) 2.6003 (b) 1.6003 (c) .6003 (d) If the numbers greater than 1 have the same digits, then the common logs of the numbers will have the same values following the decimal and will differ only in the value preceding the decimal. The value preceding the decimal of the common log will be one less than ...
Problem Solving
... 35. A castle in the far away land of Notsuoh was surrounded by four moats. One day the castle was attacked and captured by a fierce tribe from the north. Guards were stationed at each bride over the moats. Johann, from the castle, was allowed to take a number of bags of gold as he went into exile. H ...
... 35. A castle in the far away land of Notsuoh was surrounded by four moats. One day the castle was attacked and captured by a fierce tribe from the north. Guards were stationed at each bride over the moats. Johann, from the castle, was allowed to take a number of bags of gold as he went into exile. H ...
