Section outline

  • Dividing Rational Numbers
    ::Divid 理性数字

    In this lesson, you will learn the rules for dividing all integers and .  Thankfully, the sign rules are the same as multiplication. 
    ::在此教训中, 您将学习所有整数和整数的分隔规则 。 幸运的是, 符号规则与乘法相同 。

    A rational number is the  result of  dividing two integers.
    ::合理数字是两个整数除以的结果。

    If the signs of the divisor and dividend are the same , then the quotient will be positive .
    ::如果股息和股息的迹象相同,则商数将是正数。

    If the signs of the divisor and dividend are different , then the quotient will be negative You can think of a negative rational number as dividing a negative integer by a positive integer or dividing a positive integer by a negative integer. 
    ::如果差值和红利的标志不同,则商数将是负数。 您可以将负理性数字视为负整数除以正整数, 或正整数除以负整数。

    For example,  1 2 = - 1 2 = 1 - 2 .  
    ::例如, - 12=12=1-2。

    Recall that the divisor is the number that is doing the dividing, the dividend is the number being divided, and the quotient is the answer.  If the divisor does not go into the dividend evenly, there will be a remainder or left over. 
    ::提醒大家注意,分数是分数,股息是分数,商数是答案。 如果分数不平均进入股息,就会有剩余或剩余。

    Long division showing quotient, divisor, dividend, and remainder.
    Long division

    Diving Again
    ::再次潜水

    Tyler is becoming a very proficient SCUBA diver. It now takes him 9 seconds to dive -18 feet. 
    ::泰勒正在成为一个非常熟练的SCUBA潜水员 现在他需要9秒时间潜水 -18英尺

    How far does he dive in one second? Move the diver in the interactive to help you find the answer.
    ::他一秒钟跳多远? 移动互动潜水员 帮助你找到答案。

    INTERACTIVE
    Diving Again
    minimize icon
    • Move the red point to watch Tyler dive over the course of 15 seconds.
      ::把红点移开 看着泰勒在15秒内潜水
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    Repaying Money
    ::偿还钱款

    Mark owes Dave $28. He wants to pay it back over a week (7 days). He also wants to pay the same amount of money every day.
    ::马克欠戴夫28美元,他想在一周内(7天)还清。他还想每天支付同样的金额。

    Use the interactive to distribute the $28 evenly over the 7 days to find out how much Mark must pay each day.
    ::使用互动方式在7天的时间里平均分发28美元,以便了解Mark每天必须支付多少钱。

    INTERACTIVE
    Repaying Money
    minimize icon
    • Drag the slider to enter how much money is owed.
      ::拖动滑块以输入欠债金额 。
    • Select the days on which you would like to distribute the money owed.
      ::选择您想要分配欠款的日期 。
    • See how much money would be paid back each day and how much might be left over.
      ::看看每天要付多少钱,还剩下多少钱。
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    Discussion Question
    ::讨论问题

    Just like multiplication, there are several ways to write a division problem. Discuss with your class the different ways to interpret and write a division problem.
    ::和乘法一样, 也有几种方法可以写出分裂问题。 与您的班级讨论解释和写分裂问题的不同方式 。

    Long division with decimals and guidance on division of fractions.
    Long division with decimals

    When dividing fractions, you need to use the reciprocal of the second fraction. The reciprocal of a fraction,  a b  is  b a . You can think of this as  "flipping" the fraction.
    ::当分割分数时, 您需要使用第二分数的对等值。 一个分数的对等值, ab 是 ba。 您可以将此视为“ 调整” 分数 。


    Flipping the Fractions!
    ::翻转分数!

    Dividing fractions and multiplying them together are quite similar! There is a simple trick you can learn to help you remember how to convert any fraction division problem into a fraction multiplication problem and just multiply across!
    ::分解分数并将其相乘非常相似 ! 您可以学习一个简单的技巧来帮助您记住如何将任何分解问题转换成分解乘法问题, 然后再乘法问题 !

    See if you can determine what the trick is for dividing fractions!
    ::看看能不能确定分数的秘诀是什么!

    INTERACTIVE
    Flipping the Fractions
    minimize icon

    Dividing fractions and multiplying them together are quite similar! There is a simple trick you can learn to help you remember how to convert any fraction division problem into a fraction multiplication problem and just multiply across!
    ::分解分数并将其相乘非常相似 ! 您可以学习一个简单的技巧来帮助您记住如何将任何分解问题转换成分解乘法问题, 然后再乘法问题 !

    • Drag each red point into the open red circle to see the equivalent multiplication expression.
      ::将每个红色点拖到开放的红圆中,以看到相等的乘法表达式。
    • See if you can determine what the trick is for dividing fractions!
      ::看看能不能确定分数的秘诀是什么!
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       Summary
    ::摘要

    • The sign rules for division are the same as multiplication. 
      ::分隔的符号规则与乘法相同。
    • When dividing fractions, flip the second and multiply. 
      ::当分割分数时, 翻转第二位并乘以数 。
    • Use long division to divide decimals.
      ::使用长除法分隔小数。