- On a map, a 12-centimeter length represents 72 kilome
... (A) Ben must hit 1 and 3. This means Cindy must hit 5 and 2, because she scores 7 using two different numbers, neither of which is 1 or 3. By similar reasoning, Alice hits 10 and 6, Dave hits 7 and 4, and Ellen hits 9 and 8. Alice hits the 6. OR Ellen’s score can be obtained by either 10 + 7 or 9 + ...
... (A) Ben must hit 1 and 3. This means Cindy must hit 5 and 2, because she scores 7 using two different numbers, neither of which is 1 or 3. By similar reasoning, Alice hits 10 and 6, Dave hits 7 and 4, and Ellen hits 9 and 8. Alice hits the 6. OR Ellen’s score can be obtained by either 10 + 7 or 9 + ...
Document
... 5. Lesson – vocab negative numbers, positive numbers, integers, opposites, rational numbers. We will talk about adding small positive and negative numbers. We will then convert this to larger numbers using the game on p. 8. The kids will answer questions p. 9 all. 6. Assessment – 1-8, 48 ace questio ...
... 5. Lesson – vocab negative numbers, positive numbers, integers, opposites, rational numbers. We will talk about adding small positive and negative numbers. We will then convert this to larger numbers using the game on p. 8. The kids will answer questions p. 9 all. 6. Assessment – 1-8, 48 ace questio ...
significant
... Determine the number of significant figures in measurements. Distinguish accuracy, precision, and resolution. Compare data sets to determine if they are significantly different. ...
... Determine the number of significant figures in measurements. Distinguish accuracy, precision, and resolution. Compare data sets to determine if they are significantly different. ...
Lecture 7: Greedy Algorithms II
... Find out which has smallest number of operations by doing multiplication, then pick the best one. But how many ways can we parenthesize these? Equivalent to the number of ways to make a binary tree with n nodes. This is (2 n ) see Catalan numbers. See homework Problem 12-4, ex15.2-3 in the book. ...
... Find out which has smallest number of operations by doing multiplication, then pick the best one. But how many ways can we parenthesize these? Equivalent to the number of ways to make a binary tree with n nodes. This is (2 n ) see Catalan numbers. See homework Problem 12-4, ex15.2-3 in the book. ...
Full text
... inductively. In this case, if xk were a palindrome, all its successors would vanish, and the first question that arises is whether this always occurs. This problem has been considered previously (see [1], [4], [5]). Clearly, if X\ has only one digit, then x2 - 0, and if Xi has two digits, then x2 wi ...
... inductively. In this case, if xk were a palindrome, all its successors would vanish, and the first question that arises is whether this always occurs. This problem has been considered previously (see [1], [4], [5]). Clearly, if X\ has only one digit, then x2 - 0, and if Xi has two digits, then x2 wi ...
Notes on Greatest Common Factor and Least Common Multiple
... Divide by the smallest common prime factor, continuing until the only common factor is 1. This is the same process used in finding the GCF (see notes above for details). Encircle the numbers on the left AND bottom with a large L (for LCM). Multiply the numbers you circled. The product is the LCM of ...
... Divide by the smallest common prime factor, continuing until the only common factor is 1. This is the same process used in finding the GCF (see notes above for details). Encircle the numbers on the left AND bottom with a large L (for LCM). Multiply the numbers you circled. The product is the LCM of ...
IEEE floating point
... FYI: A nice little optimization is available to us in base two, since the only possible non-zero digit is 1. Thus, we can just assume a leading digit of 1, and don't need to represent it explicitly. As a result, the mantissa/significand has effectively 24 bits of resolution, by way of 23 fraction bi ...
... FYI: A nice little optimization is available to us in base two, since the only possible non-zero digit is 1. Thus, we can just assume a leading digit of 1, and don't need to represent it explicitly. As a result, the mantissa/significand has effectively 24 bits of resolution, by way of 23 fraction bi ...
![[Part 2]](http://s1.studyres.com/store/data/008795711_1-6aefa4cb45dd9cf8363a901960a819fc-300x300.png)
2, Infinity, and Beyond
... the decimals that repeat. For example: 7/11 and 3/2 are rational numbers (and real numbers as well). There are decimal expansions that do not repeat. Those numbers are real (but not rational) numbers. ...
... the decimals that repeat. For example: 7/11 and 3/2 are rational numbers (and real numbers as well). There are decimal expansions that do not repeat. Those numbers are real (but not rational) numbers. ...
Full text
... Solution by H.-J. Seiffert, Berlin, Germany Adding the second, third, fourth, . . . and last row to the first row in Dn , we arrive to the determinant En , whose entries of the first row are all equal to sn , and having the same value as Dn . Extracting sn gives En = sn Fn , where Fn is obtained fro ...
... Solution by H.-J. Seiffert, Berlin, Germany Adding the second, third, fourth, . . . and last row to the first row in Dn , we arrive to the determinant En , whose entries of the first row are all equal to sn , and having the same value as Dn . Extracting sn gives En = sn Fn , where Fn is obtained fro ...
A B
... Because of the way we have constructed this new number, it is not on the list. But we began by assuming that all numbers are on the list (i.e., that all decimal numbers are part of the one-to-one correspondence). Since both these statements cannot be true, the original assumption has led to a contra ...
... Because of the way we have constructed this new number, it is not on the list. But we began by assuming that all numbers are on the list (i.e., that all decimal numbers are part of the one-to-one correspondence). Since both these statements cannot be true, the original assumption has led to a contra ...
ABSOLUTE VALUE INEQUALITIES Chapter 1 Section 6
... satisfying this inequality are going in opposite directions and that 2 and -2 are included on the intervals. Inequality notation: x -2 or x 2 ...
... satisfying this inequality are going in opposite directions and that 2 and -2 are included on the intervals. Inequality notation: x -2 or x 2 ...
Lesson 1.3- Estimation- - WW
... I am able to calculate then round to solve word problems I am able to estimate a tip amount ...
... I am able to calculate then round to solve word problems I am able to estimate a tip amount ...
a 1
... number in the sequence is a term of the sequence. A sequence may be an infinite sequence that continues without end, such as the natural numbers, or a finite sequence that has a limited number of terms, such as {1, 2, 3, 4}. ...
... number in the sequence is a term of the sequence. A sequence may be an infinite sequence that continues without end, such as the natural numbers, or a finite sequence that has a limited number of terms, such as {1, 2, 3, 4}. ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.