READING COMPREHENSION C · 阅读理解 C

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Number Systems · 从结绳计数到十进制(说明文)

IELTS 4.0 基础使用者 · Unit 25 题 · 细节 + 推理 + 来源参考答案,供核对
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NUMBER SYSTEMS
图例 Q1 定位词 Q2 定位词 Q3 定位词 Q4 定位词 Q5 定位词 波浪线= 答案依据 点击彩色定位词跳转对应题目;点击英文生词查词典

阅读原文

Passage · 数字的种类、古代计数系统与十进制

P1Numbers are used for counting, and comparing amounts. A number system is a set of symbols to show numbers.

P2Kinds of Numbers — Numbers can be divided in many ways. The simplest ones are integers (整数), such as -1, -2, 0, 1, 2. Among them, numbers that are greater than 0 are called positive integers, and numbers that are less than 0 are called negative integers.

P3Ancient Number Systems — The first system of numbers was probably the tally system. In this system, a mark was made for everything being counted. But this system was useful only when counting small numbers. Later, the ancient Egyptians developed a system for writing large numbers in symbols. The ancient Romans used letters to show numbers — I for 1, V for 5, X for 10, L for 50, C for 100, D for 500, and M for 1,000. In the Roman system, 256 is written as CCLVI.

P4Base-ten and Other Systems — The most common number system used today is called the base-ten. It has 10 figures (0 ~ 9) that can be used to write any number. The base-ten system was invented by Hindus. Later, Arabs improved the system. For this reason, the figures 0 ~ 9 are called Hindu-Arabic numerals. In the base-ten system, the value of each figure is based on its "place" in a number. There is an "ones place", a "tens place", a "hundreds place", and so on. For some purposes, other number systems are more useful than base-ten. For example, computers use the base-two. Instead of 10 figures, this system uses only two — 0 and 1.

1
Which of the following numbers is a negative integer?

下列哪个数是负整数?

细节理解 · 概念应用
  • A. 0.零

    0 既不是正数也不是负数。

  • B. 1.一

    1 是正整数。

  • C. -2.负二

    小于 0 的整数即负整数,答案 C。

  • D. -0.5.负零点五

    -0.5 是负小数,不是整数。

定位Q1 定位词:positive integers / less than 0 → P2。
依据“numbers that are less than 0 are called negative integers” —— 小于 0 的整数。
答案C。概念应用题:先找定义,再套选项。
2
How can we write "1151" in the Roman system?

“1151”用罗马数字怎么写?

细节运用 · 罗马数字换算
  • A. DCLL.500+100+50+50

    DCLL = 700,且 L 不能重复。

  • B. MCLI.1000+100+50+1

    M=1000, C=100, L=50, I=1 → MCLI = 1151,答案 B。

  • C. CCXI.100+100+10+1

    CCXI = 211,不符合。

  • D. MCXI.1000+100+10+1

    MCXI = 1111,不是 1151。

定位Q2 定位词:Roman / 256 is written as CCLVI → P3 罗马数字规则。
依据M=1000, C=100, L=50, I=1:1151 = 1000+100+50+1 = MCLI。
答案B MCLI。换算题:把数字拆成字母对应值相加。
3
Which number system did the ancient Egyptians develop for writing large numbers?

古埃及人为书写大数字发展了什么数字系统?

细节理解
  • A. The tally system.结绳计数系统

    结绳系统是“第一个”系统,只适合小数,不是埃及人发展的。

  • B. The symbol-based system.基于符号的系统

    原文:埃及人发展了“用符号书写大数字”的系统,答案 B。

  • C. The Roman numeral system.罗马数字系统

    罗马数字是罗马人发明的,不是埃及人。

  • D. The base-two system.二进制系统

    二进制是电脑用的,与埃及无关。

定位Q3 定位词:ancient Egyptians → P3。
依据“the ancient Egyptians developed a system for writing large numbers in symbols” —— 符号系统。
答案B。细节题直接定位原句,注意主语是 Egyptians。
4
What do the base-ten and the base-two number systems have in common?

十进制和二进制有什么共同点?

细节理解 · 比较
  • A. Both of them have some base numbers.两者都有一些基本数字。

    十进制有 10 个数字(0~9),二进制有 2 个数字(0、1)—— 都靠一组基本数字组成,答案 A。

  • B. There are different "places" in a number.数字中有不同的“位”。

    原文只介绍了十进制的“位”,未提二进制有“位”。

  • C. People developed them to count bigger numbers.人们为了数更大的数而发明它们。

    二进制是为了电脑使用,不是数大数字。

  • D. They are made for people to use with computers.它们都为电脑使用而制造。

    只有二进制用于电脑,十进制不是。

定位Q4 定位词:base-ten / base-two → P4。
依据十进制 “has 10 figures”,二进制 “uses only two — 0 and 1” —— 都拥有自己的基本数字。
答案A。比较题:找两个对象的共同描述。
5
Where is the passage most probably from?

这篇文章最可能来自哪里?

文章来源推断
  • A. An encyclopaedia.百科全书

    客观科普介绍数字系统,分小标题、术语加粗,像百科词条,答案 A。

  • B. An exercise book.练习册

    练习册以题目为主,不是知识讲解。

  • C. A quiz paper.试卷

    试卷是题目,不含这种科普正文。

  • D. A maths book.数学课本

    数学课本偏教学与例题;本文是知识性介绍,百科更贴切。

定位来源推断 → 看文体:分小标题(Kinds / Ancient / Base-ten)、术语加粗、客观陈述。
依据百科式结构:定义 → 分类 → 历史 → 比较,内容客观科普。
答案A。来源题看文体特征(分节、术语、口吻)。

文章精读

INTENSIVE READING · 词性标注 + 句型分析

按词性标注颜色读句子:绿色=动词,粉字=形容词,蓝字=副词,紫字=介词,橙字=连词,带底纹=词形变化。点击生词仍可查词典。

P1 · 数字与数字系统

S1Numbers are used for counting, and comparing amounts.数字用于计数和比较数量。

S2A number system is a set of symbols to show numbers.数字系统是一套用来表示数字的符号。

P2 · 数字的分类

S1Kinds of Numbers — Numbers can be divided in many ways.数字的种类——数字可以按很多方式分类。

S2The simplest ones are integers, such as -1, -2, 0, 1, 2.最简单的数字是整数,如 -1、-2、0、1、2。

S3Among them, numbers that are greater than 0 are called positive integers, and numbers that are less than 0 are called negative integers.其中,大于 0 的数叫正整数,小于 0 的数叫负整数。

P3 · 古代数字系统

S1Ancient Number Systems — The first system of numbers was probably the tally system.古代数字系统——最早的计数系统可能是刻痕计数法。

S2In this system, a mark was made for everything being counted.在这个系统中,每数一样东西就做一个记号。

S3But this system was useful only when counting small numbers.但这种方法只在数小数字时有用。

S4Later, the ancient Egyptians developed a system for writing large numbers in symbols.后来,古埃及人发明了一套用符号书写大数字的系统。

S5The ancient Romans used letters to show numbers — I for 1, V for 5, X for 10, L for 50, C for 100, D for 500, and M for 1,000.古罗马人用字母表示数字——I 表示 1,V 表示 5,X 表示 10,L 表示 50,C 表示 100,D 表示 500,M 表示 1000。

S6In the Roman system, 256 is written as CCLVI.在罗马数字系统中,256 写作 CCLVI。

P4 · 十进制与其他进制

S1The most common number system used today is called the base-ten.当今最常用的数字系统叫十进制。

S2It has 10 figures that can be used to write any number.它有 10 个数字(0~9),可以用来写出任何数。

S3The base-ten system was invented by Hindus.十进制系统是由印度人发明的。

S4Later, Arabs improved the system.后来,阿拉伯人改进了这个系统。

S5For this reason, the figures 0 ~ 9 are called Hindu-Arabic numerals.因此,数字 0~9 被称为印度-阿拉伯数字。

S6In the base-ten system, the value of each figure is based on its "place" in a number.在十进制中,每个数字的值取决于它在数中的“位置”。

S7There is an "ones place", a "tens place", a "hundreds place", and so on.有个位、十位、百位,等等。

S8For some purposes, other number systems are more useful than base-ten.出于某些用途,其他数字系统比十进制更有用。

S9For example, computers use the base-two.例如,计算机使用二进制。

S10Instead of 10 figures, this system uses only two — 0 and 1.与十位数字不同,这个系统只用两个数字——0 和 1。

作文金句仿写

WRITING BOOST · 黑色为框架,灰色底纹为可替换词

把文中的好句子拆成“句型框架”,换上你自己的词,就能写出漂亮的句子。

金句 1Numbers are used for counting and comparing amounts.

Numbers / Mobile phones / The Internet are / is used for counting / communicating / learning.

仿写:The Internet is used for learning and communicating. 互联网被用来学习和交流。

适用:介绍某事物的用途。

金句 2The value of each figure is based on its place in a number.

The value / success / decision is / was based on its place / hard work / careful thinking.

仿写:His success is based on hard work. 他的成功基于努力。

适用:表达“某结果建立在……之上”。

金句 3Instead of 10 figures, this system uses only two — 0 and 1.

Instead of 10 figures / watching TV / giving up, this system / I / he uses only two / reads books / keeps trying.

仿写:Instead of giving up, he keeps trying. 他没有放弃,而是不断尝试。

适用:表达“不是……而是……”的对比。

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