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What are Oblong numbers?

An oblong number (also called a "pronic number") represents an oblong shape created when dots are placed equidistant from each other in rows and columns. The number of dots across must be one number greater than the number of dots down, so if I make a grid of dots which is 3 dots across and two dots down, it represents the number 6, the total number of dots. Six, then, is the oblong number. If the oblong has 4 dots across and 3 dots down, it equals 12 dots, so the oblong number is 12.. . . .. . . . = 12 This visual representation of a number is called an "array.". . . .These arrays are used commonly now in schools to help students understand the concept of multiplication. In this case, (3X4=12).The algebraic formula for such a number is: n(n+1). This is an integer (number) times the same number plus one. So 3 X (3=1), or four, equals 12.The first few oblong numbers are 2, 6, 12, 20, and 30. This series of numbers is the successive sums of the series of even numbers or the products of two consecutive numbers: 2 = 1·2; 6 = 2·3 = 2 + 4; 12 = 3·4; and so on.


How are factors and quotients related?

In the sentence 6 times 9 equals 54, 6 and 9 are factors of the product 54. In the sentence 54 divided by 9 equals 6, 6 is the quotient. In the sentence 54 divided by 6 equals 9, 9 is the quotient. The result of a multiplication sentence is the product of factors; the result of a division sentence is the quotient.


How is quotients and factors related?

In the sentence 3 times 6 equals 18, 3 and 6 are factors of 18. In the sentence 18 divided by 6 equals 3, 3 is the quotient. In the sentence 18 divided by 3 equals 6, 6 is the quotient. Same numbers, same relationships, different processes, different words.


What does it mean to divide a fraction by a fraction?

It means to find out how many of the second fraction can be subtracted from the first before a result of zero is found. eg 1/2 ÷ 1/3 means how many times can you subtract 1/3 from 1/2 before you get to zero.


what are the numbers 3 and 5 callde in the multiplication sentence 3x5 =15?

In the multiplication sentence 3x5=15, the numbers 3 and 5 are known as factors. Factors are the numbers that are multiplied together to obtain a product. In this case, 3 and 5 are the factors that, when multiplied, result in the product of 15.

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