In mathematics, expanded form is a method of representing a number through an addition statement by totaling the values of its digits. For example, the number 3,745 can be written in expanded form as 3,000 + 700 + 40 + 5. A multiplication statement can also be used in expanded form.
Know MoreThe decimal system is the most commonly used number system in mathematics. All numbers can be denoted as a power of 10 by using a combination of the whole number 0 and the first nine integers, which are 1, 2, 3, 4, 5, 6, 7, 8 and 9. These numerical characters are also called numerals or digits.
A place value pertains to the numerical equivalent of a digit based on where it is positioned in a number. For example, the number 14,382 has a 1 in the ten-thousands' place, a 4 in the thousands' place, a 3 in the hundreds' place, an 8 in the tens' place and a 2 in the digits' place.
There are three general ways to express a certain number. These methods are the standard form, word form and expanded form. For instance, the number 7,352 is in standard form. The word form of the number is seven thousand three hundred and fifty two.
To express a number in expanded form, it is first split into its place values. The number 7,352 has seven 1,000s, three 100s, 5 10s and 2 1s. It is then written in expanded notation as 7000 + 300 + 50 + 2.
Learn more about ArithmeticIn mathematics, an array is a set of numbers or objects placed in rows or columns. Arrays are often used to represent multiplication or division.
Full Answer >In mathematics, adding numbers, items or amounts produces a sum. The word also refers to a group of arithmetic problems given as a classroom assignment. As a verb, to sum is to find the total of added amounts.
Full Answer >A rational expression in mathematics is an expression that is the ratio of two polynomials. Most often, it is expressed as a fraction, such as (x^2 + 5)/(x - 2).
Full Answer >Some Common Core principles for mathematics are maintaining focus and coherence throughout a lesson, emphasizing connections between the content of lessons and practice, and raising expectations to improve mathematical fluency and conceptual understanding. The Common Core also strongly suggests that teachers provide students with examples of math use in real-world, practical applications.
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