2/3的整数是多少?
表示和处理数字的方法被理解为记数系统或数字系统。数字系统可以是表示数字的书写系统。它是使用数字或其他符号表示给定集合的数字的符号。它允许我们进行算术运算,如除法、乘法、加法、减法。
一些重要的数字系统如下:
- 十进制数系统
- 二进制数制
- 八进制数系统
- 十六进制数系统
什么是整数?
整数是没有分数、小数的数字,是从 0 到无穷大的正整数的集合。所有整数都存在于数轴中。所有整数都是实数,但我们不会说每个重要的数字都是整数。整数不能为负数。整数用符号“W”表示。示例为:0、23、34、45、67、867、345、56754 等。
整数的性质
整数的性质有助于我们更好地了解数字。此外,它们在某些操作下创建计算,例如非常简单的加法、减法、乘法和除法。整数的不同性质如下:
- 加法和乘法的闭包。
- 加法和乘法的交换性质。
- 加法和乘法的关联属性。
- 乘法对加法的分配性质。
- 加法和乘法的标识。
加法和乘法的闭包属性:
15 + 6 = 21
9 + 88 = 97
25 + 0 = 25
8 × 8 = 64
5 × 11 = 55
From the instance, we will conclude that once we add or multiply any two whole numbers we get an entire number.
Whole numbers are closed under addition and multiplication.
Note: Division by zero is not defined.
加法和乘法的交换性质:
You can add whole numbers in any order. We can say that addition is commutative for whole numbers. This property is understood as commutativity for addition.
6 + 12 = 12 + 6
18 = 18
You can multiply two whole numbers in any order. Thus we are saying multiplication is commutative for whole numbers.
Multiply 9 and 7 in several orders, you’ll get an equivalent answer.
9 × 7 = 63
7 × 9 = 63
∴ 9 × 7 = 7 × 9
Note: Subtraction is not commutative (6 – 5 ≠ 5 – 6).
Division is not commutative (4 ÷ 2 ≠ 2 ÷ 4).
加法和乘法的结合:
Observe the following examples:
1) (5 + 7) + 3 = 12 + 3 = 15
2) 5 + (7 + 3) = 5 + 10 = 15
In the 1st, you can add 5 and 7 first and then add 3 to the sum and in the 2nd, you can add 7 and 3 first and then add 5 to the sum. The result in both cases is the same.
For Addition:
This property usually does the addition in a straightforward and fast way.
Observe the following example:
234 + 197 + 203
In the above example, if we add 197 and 203 first then it’ll be easier as unit (ones) digit has become zero.
234 + (197 + 203)
= 234 + 400
= 634
For Multiplication:
Multiplication is true for associative property.
8 × 125 × 1294
Here, if you multiply 125 and 1294 then it’ll be hard and time-consuming. So we’ll multiply 8 and 125 then with 1294.
(8 × 125) × 1294
= 1000 × 1294
= 1,294,000 This arrangement of numbers is understood as associative property.
乘法对加法的分布:
35 × (98 + 2) = 35 × 100 = 3500
65 × (48 + 2) = 65 × 50 = 3250
297 × 17 + 297 × 3 = 297 × (17 + 3) = 297 × 20 = 5940
All the above are the samples of distributive property of multiplication over addition.
Example:
854 × 102
To make this multiplication simpler, write 102 as 100 + 2 then use distributive property.
854 × (100 + 2)
= 854 × 100 + 854 × 2 ——( distributive property)
= 85,400 + 1,708
= 87,108
加法和乘法的恒等式:
The collection of whole numbers is different from the collection of natural numbers because of just the presence of zero. This number zero has a special role in addition.
When you add zero to any whole number, the same whole number again.
Zero is named an Identity for the addition of whole numbers or additive identity for whole numbers.
Zero has a special role in multiplication too. Any number when multiplied by zero becomes zero!
56 × 0 = 0
0 × 346 = 0
You found an additive identity for whole numbers, variety remains unchanged when added zero thereto. Similar case for the multiplicative identity for whole numbers. A number remains unchanged once we multiply by 1. So 1 is named identity for multiplication of whole numbers or multiplicative identity for whole numbers.
整数的 2/3 是多少?
回答:
Since whole numbers do not include fractions and decimal values, 2/3 will not be considered as a whole number. But, a fraction can be converted to a whole number by rounding it off to the nearest whole number possible.
2/3, when converted to decimals, will be equal to 0.66 which is when rounded off to the nearest whole number will be equal to 1 because the value after the decimal is greater than 5, so it will be rounded up to the nearest whole number.
Hence, 2/3 as a whole number will be 1.
类似问题
问题 1. 5/6 是一个整数吗?
回答:
Since whole numbers do not include fractions and decimal values, 5/6 will not be considered as a whole number. But, a fraction can be converted to a whole number by rounding it off to the nearest whole number possible.
5/6, when converted to decimals, will be equal to 0.83 which is when rounded off to the nearest whole number will be equal to 1 because the value after the decimal is greater than 5, so it will be rounded up to the nearest whole number.
问题 2. 3/4 是一个整数吗?
回答:
Since whole numbers do not include fractions and decimal values, 3/4 will not be considered as a whole number. But, a fraction can be converted to a whole number by rounding it off to the nearest whole number possible.
3/4, when converted to decimals, will be equal to 0.75 which is when rounded off to the nearest whole number will be equal to 1 because the value after the decimal is greater than 5, so it will be rounded up to the nearest whole number.
问题 3. 5/7 是一个整数吗?
回答:
Since whole numbers do not include fractions and decimal values, 5/7 will not be considered as a whole number. But, a fraction can be converted to a whole number by rounding it off to the nearest whole number possible.
5/7, when converted to decimals, will be equal to 0.71 which is when rounded off to the nearest whole number will be equal to 1 because the value after the decimal is greater than 5, so it will be rounded up to the nearest whole number.