谁发明了零?
数系包括不同类型的数,例如质数、奇数、偶数、有理数、整数等。这些数可以相应地以数字和文字的形式表示。例如,40、65等以数字形式表示的数字,也可以写成40、65。
数制
数字系统或数字系统被定义为表示数字和图形的基本系统。它是一种在算术和代数结构中表示数字的独特方式。
数字用于各种算术值,适用于执行各种算术运算,如加法、减法、乘法等,这些运算适用于日常生活中的计算目的。数字的值由数字、它在数字中的位置值以及数字系统的基数决定。数字通常也称为数字,是用于计数、测量、标记和测量基本量的数学值。
数字是用于测量或计算数量的数学值或数字。它用数字表示为 2、4、7 等。数字的一些例子是整数、整数、自然数、有理数和无理数等。
数字类型
有不同类型的数字被实数系统分类为集合。这些类型是众所周知的,例如,自然数、整数、整数等。让我们详细看看它们的定义,
- 自然数:自然数是从 1 到无穷大的正数。自然数集表示为 'N'。这是我们通常用于计数的数字。自然数集可以表示为 N = 1, 2, 3, 4, 5, 6, 7,…
- 整数:整数是包括零在内的正数,从 0 计数到无穷大。整数不包括分数或小数。整数集由“W”表示。该集合可以表示为 W = 0, 1, 2, 3, 4, 5,…
- 整数:整数是一组数字,包括所有正数、零以及从负无穷到正无穷的所有负数。该集合不包括分数和小数。整数集由“Z”表示。整数集可以表示为 Z = …,-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,…
- 十进制数:任何由小数点组成的数值都是十进制数。可表示为 2.5、0.567 等。
- 实数:实数是不包含任何虚值的集合数。它包括所有正整数、负整数、分数和十进制值。它通常用“R”表示。
- 复数:复数是一组包含虚数的数字。它可以表示为a + bi,其中“a”和“b”是实数。它表示为 'C' 。
- 有理数:有理数是可以表示为两个整数之比的数。它包括所有整数,可以用分数或小数表示。它用“Q”表示。
- 无理数:无理数是不能用分数或整数比表示的数字。它可以写成小数,小数点后有无穷无尽的不重复数字。它用“P”表示。
谁发明了零?
回答:
Aryabhata, a great astronomer of the classic age of India was the one who invented the digit “0” (zero) for which he became immortal but later on is given to Brahmagupta who lived around a century later 22, another ancient Indian mathematician.
The first numeral zero comes from a Hindu astronomer and mathematician Brahmagupta in 628. The symbol to represent the numeral was a dot underneath a number.
类似问题
问题1:0的乘法逆元是什么?
回答:
Zero doesn’t have a multiplicative inverse as multiplicative inverse is the reciprocal for a number “a”, denoted by 1/a, is a number which when multiplied by “a” yields the multiplicative identity 1.
The multiplicative inverse of a fraction: a/b is b/a and here zero does not have a reciprocal because no real number multiplied by 0 produces 1. The product of any real number with zero is zero.
So it can be said that multiplicative inverse of 0 does not exist or undefined since division by zero is not defined.
问题2:数字的恒等特性是什么?
回答:
This is an element that leaves other elements unchanged when combined with them. The identity element for the addition operation is 0 and for multiplication is 1.
For addition, a + 0 = a and for multiplication a × 0 = 0
Example: For addition, if a = 6
a + 0 = 6 + 0 = 6
And for multiplication if a = 6
a × 0 = 6 × 0 = 0
问题3:解释零的乘法性质?
回答:
Multiplication property of zero
The multiplication property of zero says that zero multiplies by any number is equal to zero. For every real number a, a × 0 = a and 0 × a = 0
Examples,
- 3 × 0 = 0
- 0 × 10 = 0
- -4 × 0 = 0
- 23344555677888882 × 0 = 0
- a × 0 = 0
- (x + y + z + r) × 0 = 0
问题4:解释零的加法性质?
回答:
Addition property of zero ⇢ It defines that a number does not change when adding or subtracting zero from that particular number.
For every real number x, x + 0 = x and 0 + x = x
Examples of addition property of zero,
- 5 + 0 = 5
- 14 + 0 = 14
问题5:解释零的除法性质?
回答:
Division property of zero states that any number divided by zero is undefined or has no answer.
For example, 8/0 has no answer.