章节大纲

  • Donte enjoys learning about different currencies and how the currencies have changed in value over time. He learns that on August 5, 2007, the Japanese yen was worth 0.008467 compared to the US dollar. He wants to  round  the decimal, but he isn't sure how to do it. How can Donte round 0.00847?
    ::唐特欣然了解到不同的货币以及货币在一段时间内的价值变化。 他了解到2007年8月5日日日元与美元相比值0.008467美元。 他想在小数点左右左右,但他不确定如何做到这一点。 唐特又知道如何在一段时间内改变货币价值。 他知道2007年8月5日日日日元与美元相比值0.008467美元。 他想在小数点左右左右,但他不确定如何做到这一点。 唐特如何在0.00847回合之间做呢?

    In this concept, you will learn how to round very  small decimals  to the  leading digit .

    ::在这个概念中,你将学会如何将小数小数到小数小数到前数。

    Rounding Decimal Values to the Leading Digit
    ::将十进制值四舍五入到领导数字

    very small decimal  is determined by the number of places represented after the  decimal point . The more decimal places, the smaller the decimal is.
    ::小数点小数点由小数点后代表的位数决定。小数点后越小,小数点后越小。

    Let's look at an example.
    ::让我们举个例子。

    0.000056787

    This decimal is a very small decimal.
    ::此小数位数为小数位数。

    You can round tiny decimals like this one using something called the  leading digit . The leading digit is the first digit of the decimal that is represented by a number other than  zero . In this example, the leading digit is a five.
    ::您可以使用名为前位数字的符号来圆圆小数小数, 比如这个小数。 前位数字是小数数的首位数字, 以除零以外的数字表示。 在此示例中, 前位数字是 5 。

    0.000056787

    To round this decimal, start with the leading digit then check the digit to the right of the leading digit. The digit to the right of the five is a six. Six is greater than 5, so round up.
    ::到这个小数点左右, 先从前位数字开始, 然后检查前位数字右侧的位数。 五位右侧的位数是 6 。 六位以上是 5 。 所以集中起来 。

    The answer is 0.00006.
    ::答案是00006

    Include the zeros to the left of the leading digit, but you don’t need to include any of the digits after the leading digit.
    ::将前位数左侧的零包含在内, 但无需将前位数后的任何位数包含在内 。

    Examples
    ::实例

    Example 1
    ::例1

    Earlier, you were given a problem about Donte and the value of yen on August 5, 2007.
    ::先前,2007年8月5日,你受到唐特和日元价值的问题。

    The yen was worth 0.008467 compared to one U.S. dollar.  What is 0.008467 rounded to the leading digit?
    ::与美元相比,日元值为0.008467美元。 0.008467四舍五入到前一位数是多少?

    First, identify the leading digit.
    ::首先,确定前数位数。

    8

    Next, determine if the number to the right of the leading digit is 5 or greater.
    ::下一步,确定前位数右侧的数字是5或5以上。

    No
    ::否 无

    Then, round the leading digit the same.
    ::然后,在前位数的左右 同样的。

    0.0008

    The answer is 0.0008.
    ::答案是0.0008

    Example 2
    ::例2

    Round 0.000086002
    ::0000800860002轮

    First, identify the leading digit.
    ::首先,确定前数位数。

    8

    Next, determine if the number to the right of the leading digit is 5 or greater.
    ::下一步,确定前位数右侧的数字是5或5以上。

    Yes
    ::是 是

    Then, round the leading digit up.
    ::然后,绕过前数位。

    0.00009

    The answer is 0.0009.
    ::答案是0.0009

    Example 3
    ::例3

    Round 0.0004567 to the leading value.
    ::0.004567回合领先值为0.004567回合。

    First, identify the leading digit.
    ::首先,确定前数位数。

    4

    Next, determine if the number to the right of the leading digit is 5 or greater.
    ::下一步,确定前位数右侧的数字是5或5以上。

    Yes
    ::是 是

    Then, round the leading digit up.
    ::然后,绕过前数位。

    0.0005

    The answer is 0.005.
    ::答案是0.005

    Example 4
    ::例4

    Round 0.0000168923 to the leading value.
    ::0.00168923回合领先值为0.00168923回合。

    First, identify the leading digit.
    ::首先,确定前数位数。

    1

    Next, determine if the number to the right of the leading digit is 5 or greater.
    ::下一步,确定前位数右侧的数字是5或5以上。

    Yes
    ::是 是

    Then, round the leading digit up.
    ::然后,绕过前数位。

    0.00002

    The answer is 0.00002.
    ::答案是00002

    Example 5
    ::例5

    Round 0.00090034 to the leading digit.
    ::0000034回合 领先数字。

    First, identify the leading digit.
    ::首先,确定前数位数。

    9

    Next, determine if the number to the right of the leading digit is 5 or greater.
    ::下一步,确定前位数右侧的数字是5或5以上。

    No
    ::否 无

    Then, keep the leading digit the same.
    ::然后,保持前数不变。

    0.0009

    The answer is 0.0009.
    ::答案是0.0009

    Review
    ::回顾

    Round each to the leading digit.
    ::每一回合到前两位数

    1. 0.0045
    2. 0.0067
    3. 0.000546
    4. 0.000231
    5. 0.000678
    6. 0.000025
    7. 0.000039
    8. 0.000054
    9. 0.0000278
    10. 0.0000549
    11. 0.00060789
    12. 0.00045612
    13. 0.00390087
    14. 0.000003812
    15. 0.00090871