Problem set 3
... 1 n a. Sketch f (n) = n−3/2 and, on the same diagram, draw rectangles to illustrate the sum S. b. Use the pictorial method to estimate the sum, and compare the estimate against the true value (approximately 2.612). 6. You want to cut a 3 × 3 × 3 cube into 27 unit cubes. What is the minimum number of ...
... 1 n a. Sketch f (n) = n−3/2 and, on the same diagram, draw rectangles to illustrate the sum S. b. Use the pictorial method to estimate the sum, and compare the estimate against the true value (approximately 2.612). 6. You want to cut a 3 × 3 × 3 cube into 27 unit cubes. What is the minimum number of ...
Algebra – Unit 1
... Use the facts that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference, the angle subtended at the circumference by a semicircle is a right angle, that angles in the same segment are equal, and that opposite angles of a cyclic quadri ...
... Use the facts that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference, the angle subtended at the circumference by a semicircle is a right angle, that angles in the same segment are equal, and that opposite angles of a cyclic quadri ...
Unit 8 - End of unit Test
... A number is divisible by 5 if it ends in 0 or 5. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 9 if the sum of its digits is divisible by 9. A number is divisible by 10 if it ends in 0. Place an “X” in the box if it is divisible by that number Number ...
... A number is divisible by 5 if it ends in 0 or 5. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 9 if the sum of its digits is divisible by 9. A number is divisible by 10 if it ends in 0. Place an “X” in the box if it is divisible by that number Number ...
Math Unit Honors Chem
... Conversion Factor • These are fractions obtained from an equivalence between two units. • For example, consider the equality 1 in. = 2.54 cm. This equality yields two conversion factors which both equal one: ...
... Conversion Factor • These are fractions obtained from an equivalence between two units. • For example, consider the equality 1 in. = 2.54 cm. This equality yields two conversion factors which both equal one: ...
Standard Grade Mathematics Investigations
... The first triangular number is made with just one counter and so is one. The second triangular number is 3. The 3rd triangular number is 6 and the 4th triangular number is 10. Write down the next 4 triangular numbers. What is the 12th triangular number? What is the 24th triangular number? Which tria ...
... The first triangular number is made with just one counter and so is one. The second triangular number is 3. The 3rd triangular number is 6 and the 4th triangular number is 10. Write down the next 4 triangular numbers. What is the 12th triangular number? What is the 24th triangular number? Which tria ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.