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How many positive integers less than 100 can be written as sum of 9 consecutive integers?

All of them from 45 to 99 ... 55 integers.


Are rational numbers also integers?

Yes. Integers are whole numbers and their opposites. Rational numbers are numbers that can be written as a fraction. This includes decimals that terminate and repeat.


Are numbers that can be written as the ratio of two integers in which the denominator is not zero called reciprocals?

No, they are not!


Which culture was the first to use integers?

The concept of integers, including positive and negative whole numbers, originated in ancient Mesopotamia around 3000 BCE. The Sumerians developed a system of counting using tokens to represent quantities, which eventually evolved into a written numerical system using cuneiform symbols. These early civilizations laid the foundation for the development of integers as a fundamental mathematical concept.


What is the sum of all the numbers less than 100 that can be written as the sum of 9 consecutive positive integers?

504.The lowest possible number, less than 100, which is equal to the sum of 9 consecutive positive integers is:1+2+3+4+5+6+7+8+9 = 45.The next lowest will be 54. We know it will equal 54 (45+9), as we have to increase each number above by 1 (and 9 * 1 = 9). Thus, 2+3+4+5+6+7+8+9+10 = 54.Thus we can now write all these numbers which are less than 100, by adding 9 each time to the previous value, to get:45546372819099.The sum of these numbers = 45+54+63+72+81+90+99 = 504.

Related Questions

All multiples of odd natural number can be written as the sum of consecutive natural numbers?

No. Odd numbers can be written as the sum of consecutive integers, but some multiples of odd numbers are even.


How many positive integers less than 100 can be written as sum of 9 consecutive integers?

All of them from 45 to 99 ... 55 integers.


What are all the numbers between 1 and 40 that can be written as the sum of consecutive positive integers?

3, 5, 7, 9, 11, 13 ... and the rest of the odds, up to 39


What are consecutive sums?

Many numbers can be expressed as the sum of two or more consecutive integers. For example, the number 15 can be written as the sum of consecutive integers in three different ways: 15=7+8 15=4+5+6 15=1+2+3+4+5 Look at numbers other than 15 and find out all you can about writing them as sums of consecutive whole numbers.


I don't understand how to do integers?

Integers are the natural numbers (positive and negative) that can be written without a decimal or a fraction attached.see en.wikipedia.org/wiki/Integer


What is strontium's atomic number written as a positive integer?

All atomic numbers are positive integers. Strontium's atomic number is 38.


Define what are the integers?

Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4,5,... and negative integers are-1.-2,-3.-4,-5,.... The integers are the union of the positive integers, the negative integers and 0. Integers are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. A third definition is the integers are the union of the natural numbers, their negatives, and 0.


What are the kinds of real numbers?

A real number is a rational number.Different types of real numbersNatural numbers: These are numbers that have no decimal.Whole numbers: These are positive and no decimals, and also zero. Natural numbers are whole numbers.Integers: These are numbers that have no decimals. These include both positive and negative numbers. Whole numbers are integers.Rational numbers: These are numbers that can be written down as fractions of integers. Integers are rational numbers.Transcendental numbersIrrational numbers: These are numbers that cannot write as fraction of integers.


Find four consecutive odd integers if the product of the smaller two is 112 less than the larger two?

The first 4 consecutive integers can be written as the following:XX+1X+2X+3From the problem the we get the following equation:2*(X)*(X+3) - {(X)*(X+3)} = 42X2+6X - X2 - 3X = 4X2 + 3X - 4 = 0Factoring this quadratic equation is (X+4)(X-1) = 0So the 1st positive integer is X-1 = 0 or X=1and the other integers is 2,3,4----Comment by Kirbysuper----But... those integers aren't positive numbers... in the question, it says to find 4 consecutive positiveintegers.


A set of whole numbers include?

Whole numbers are zero and all positive whole number integers. This is written as {0, 1, 2, 3, ...... to infinity}.


How are integers and rationals numbers different?

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.


Irrational numbers can not be written in form?

Rational numbers are numbers that can be written as the division of two integers where the divisor is not zero. Irrational numbers are numbers that are not rational.Irrational numbers, therefore, are numbers that can notbe written as the division of two integers where the divisor is not zero.