Divisibility and other number theory ideas
... Divisibility test for 5 - the number ends in 0 or 5. Divisibility test for 10 - the number ends in 0. Note: if two and five are factors, so is 10. Divisibility test for 3 - the sum of the digits of the number is divisible by 3. Example: Is 924 divisible by 3? 9 + 2 + 4 = 15 and 15 is divisible by 3, ...
... Divisibility test for 5 - the number ends in 0 or 5. Divisibility test for 10 - the number ends in 0. Note: if two and five are factors, so is 10. Divisibility test for 3 - the sum of the digits of the number is divisible by 3. Example: Is 924 divisible by 3? 9 + 2 + 4 = 15 and 15 is divisible by 3, ...
The numbers of nature: the Fibonacci sequence
... Observing the geometry of plants, flowers or fruit, it is easy to recognize the presence of recurrent structures and forms. The Fibonacci sequence, for example, plays a vital role in phyllotaxis, which studies the arrangement of leaves, branches, flowers or seeds in plants, with the main aim of high ...
... Observing the geometry of plants, flowers or fruit, it is easy to recognize the presence of recurrent structures and forms. The Fibonacci sequence, for example, plays a vital role in phyllotaxis, which studies the arrangement of leaves, branches, flowers or seeds in plants, with the main aim of high ...
1 - KopyKitab.com
... Whole Numbers: In the set of natural numbers if we include 0, then the resulting set of numbers is known as the set of whole numbers. It is represented by W. i.e., W = {0, 1, 2, 3, ...} Integers: In the collection of natural numbers, if we include 0 and the negative of natural numbers, they are know ...
... Whole Numbers: In the set of natural numbers if we include 0, then the resulting set of numbers is known as the set of whole numbers. It is represented by W. i.e., W = {0, 1, 2, 3, ...} Integers: In the collection of natural numbers, if we include 0 and the negative of natural numbers, they are know ...
File
... happening again and again and form a conclusion from those observations. Conjecture – educated guess, unproven … based on observations False example – counter example ...
... happening again and again and form a conclusion from those observations. Conjecture – educated guess, unproven … based on observations False example – counter example ...
Algebraic Proofs - GREEN 1. Prove that the sum of any odd number
... Write down the next odd number using algebra. ...
... Write down the next odd number using algebra. ...
Glossary
... addition, or multiplication and subtraction. Distributive property of multiplication over addition: a (x y) (a x) (a y) Distributive property of multiplication over subtraction: a (x y) (a x) (a y) This property gets its name because it “distributes” the factor outside the pa ...
... addition, or multiplication and subtraction. Distributive property of multiplication over addition: a (x y) (a x) (a y) Distributive property of multiplication over subtraction: a (x y) (a x) (a y) This property gets its name because it “distributes” the factor outside the pa ...
Solutions to the Activities in Understanding Numbers in Elementary
... P. 21. Write 88 and 99 in Roman numerals; contrast the Hindu-Arabic numeral system with the Roman numeral system in this case. Do the same with the numbers 420 and 920. 88 is LXXXVIII; 90 is XC and therefore 99 is XCIX. It is difficult to “see” how XCIX could be 10 steps beyond LXXXVIII because XCI ...
... P. 21. Write 88 and 99 in Roman numerals; contrast the Hindu-Arabic numeral system with the Roman numeral system in this case. Do the same with the numbers 420 and 920. 88 is LXXXVIII; 90 is XC and therefore 99 is XCIX. It is difficult to “see” how XCIX could be 10 steps beyond LXXXVIII because XCI ...
City of Waterbury Mathematics Department 2013 CMT Review Plan
... Waterbury Public Schools - CMT Central – Most items are in word format and can be copied, pasted, and edited. Grade 4 Strands Topic 1 – 4C, 5C, 10A, 11A, 15A, 16ABC, 17AB, 19AB, 24AB, 25A Topic 2 – 4BDE, 5C, 7A, 15A, 16AC, 17A, 19B Topic 3 – 1C, 5BC,7A, 9AB Topic 4 – 1ABD, 4ABCD, 10A, 11A, 14AB, 19A ...
... Waterbury Public Schools - CMT Central – Most items are in word format and can be copied, pasted, and edited. Grade 4 Strands Topic 1 – 4C, 5C, 10A, 11A, 15A, 16ABC, 17AB, 19AB, 24AB, 25A Topic 2 – 4BDE, 5C, 7A, 15A, 16AC, 17A, 19B Topic 3 – 1C, 5BC,7A, 9AB Topic 4 – 1ABD, 4ABCD, 10A, 11A, 14AB, 19A ...
Maths outline for Year 6
... reasoning and algebra; Geometry: operations; revise solving missing number problems using inverse properties of shapes operations; revise using trial and improvement to solve equations involving one or two unknowns, and find missing lengths and angles Mental addition and subtraction; Fractions, Revi ...
... reasoning and algebra; Geometry: operations; revise solving missing number problems using inverse properties of shapes operations; revise using trial and improvement to solve equations involving one or two unknowns, and find missing lengths and angles Mental addition and subtraction; Fractions, Revi ...
Unitary Amicable Numbers - American Mathematical Society
... Remark A. To my knowledge, no results analogous to Theorems 4 and 5 are known concerning even amicable numbers. However, the referee has pointed out that many "isomeric" pairs of odd amicable numbers exist (for example, see the pairs 60 and 61, 65 and 66, 138 and 139 in [3]), and that theorems simil ...
... Remark A. To my knowledge, no results analogous to Theorems 4 and 5 are known concerning even amicable numbers. However, the referee has pointed out that many "isomeric" pairs of odd amicable numbers exist (for example, see the pairs 60 and 61, 65 and 66, 138 and 139 in [3]), and that theorems simil ...
Product and Sum, a variation
... Thus B cannot be in Set B1, Set B1 is eliminated Also, in Set B0 9=1x9=3x3; sum=10, 6 10=1x10=2x5; sum=11, 7 15=1x15=3x5; sum=16, 8 16=1x16=2x8=4x4; sum=17, 10, 8 21=1x21=3x7; sum=22, 10 25=1x25=5x5; sum=26, 10 27=1x27=3x9; sum=28, 12 35=1x35=5x7; sum=36, 12 45=1x45=3x15=5x9; sum=46, 18, 14 49=1x49 ...
... Thus B cannot be in Set B1, Set B1 is eliminated Also, in Set B0 9=1x9=3x3; sum=10, 6 10=1x10=2x5; sum=11, 7 15=1x15=3x5; sum=16, 8 16=1x16=2x8=4x4; sum=17, 10, 8 21=1x21=3x7; sum=22, 10 25=1x25=5x5; sum=26, 10 27=1x27=3x9; sum=28, 12 35=1x35=5x7; sum=36, 12 45=1x45=3x15=5x9; sum=46, 18, 14 49=1x49 ...
Document
... 24. Routinely use the skills learned in math class at other times during the school day. 25. Appreciate and use their knowledge of numbers in situations outside the classroom. By the end of grade 2, students will be able to: 1. Demonstrate an understanding of the concept of place value using various ...
... 24. Routinely use the skills learned in math class at other times during the school day. 25. Appreciate and use their knowledge of numbers in situations outside the classroom. By the end of grade 2, students will be able to: 1. Demonstrate an understanding of the concept of place value using various ...