课程： 1.1整数加法 | The Way To Learn

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1.1整数加法

Jonah is assistant coach to the boys' soccer team at his school. Every practice session, he has to carry 38 soccer balls out to the field. However, Jonah just started an additional assistant position with the girls' soccer team, which has practice on the same days, meaning he will have to carry out an additional 64 soccer balls. How can he figure out how many balls he has to bring out in total?
::Jonah是学校男生足球队的助理教练。每次练习,他都要带38个足球去球场。然而,Jonah刚开始与女足球队增设一个助理职位,女足球队在同一天也参加练习,这意味着他必须再加一个64个足球球。他怎么知道他要带多少球去球场?

In this concept, you will learn how to add whole numbers .
::在这个概念中,你会学会如何添加整数。

Adding Whole Numbers
::添加完整数字

Adding whole numbers is probably very familiar to you. You have been adding whole numbers almost as long as you have been in school. Here is a problem that probably looks familiar.
::添加完整数字对于您来说可能非常熟悉。您几乎只要在学校就一直在添加完整数字。这里的问题可能看起来很熟悉。

\begin{aligned} 4 + 5 = \underline{} \end{aligned}

In this problem, you are adding four and five. You have four whole things plus five whole things, which is a total of nine whole things. The numbers that you are adding are called addends . The answer to an addition problem is the sum .
::在这个问题中,你将增加4个和5个。你有4个整体,加上5个整体,一共是9个整体。你所加的数字被称为“补充”。加一个问题的答案是总和。

This first problem was written horizontally. In the past, you may have seen addition problems written vertically. Now that your understanding is growing, you will need to write the problems vertically on your own.
::第一个问题是横向写的。过去, 您可能看到过一些垂直写的附加问题。现在, 您的理解正在增加, 您需要自己垂直地写出问题。

You can add whole numbers by writing them vertically according to place value . Place value refers to the units that a number represents, based on its place in a larger number. Below is a place value chart for the number 1,453,221.
::您可以根据位置值垂直写入整数。位置值指数字所代表的单位, 根据其在较大数字中的位置。下面是数字 1,453, 221 的位值图。

Place Value Chart for the Number 1,453,221
*Millions*	*Hundred Thousands*	*Ten Thousands*	*Thousands*	*Hundreds*	*Tens*	*Ones*
1	4	5	3	2	2	1

When you add whole numbers, it can be less confusing to write them vertically according to place value. Think about the first example.
::当您添加整个数字时,根据位置值垂直写入它们会比较容易混淆。想一想第一个例子。

\begin{aligned} 4 + 5 = 9 \end{aligned}

If you wrote that vertically, first you would line up the numbers. They both belong in the Ones column.
::如果您垂直写, 首先您会排列数字。它们都属于“ Ones” 列。

\begin{aligned} 4 \\ \underline{+ 5} \\ 9 \end{aligned}

When you have more digits, write the problem vertically by lining up each digit according to place value.
::当您的位数较多时,请根据位置值将每个位数排列成行,将问题垂直写成。

\begin{aligned} 456 + 27 = \underline{} \end{aligned}

\begin{aligned} 456 \\ \underline{+ 27} \end{aligned}

Then add the columns. Remember to regroup (carry) if the numbers sum to more than 9.
::然后加列列。如果数字加起来超过9,请记住重新组合(carry),如果数字加起来超过9。

\begin{aligned} _{1} \\ 456 \\ \underline{+ 27} \\ 483 \end{aligned}

The answer is 483.

Examples
::实例

Example 1
::例1

Earlier, you were given a problem about Jonah and all his sports equipment.
::早些时候,你得到一个问题约拿和他的所有运动设备。

Jonah already carries 38 soccer balls to the field, and now he will have to carry 64 more.
::Jonah已经带了38个足球球去球场现在他还要再带64个球

To figure out the sum total of balls, he has to add the two numbers together.
::要找出球的总和, 他必须把两个数字加在一起。

\begin{aligned} 38 + 64 \end{aligned}

First, write the problem vertically.
::首先,垂直写出问题。

\begin{aligned} 38 \\ \underline{+ 64} \end{aligned}

Next, add the ones column, regrouping as needed.
::下加一栏,按需要重新组合。

\begin{aligned} _{1} \\ 38 \\ \underline{+ 64} \\ 2 \end{aligned}

Then add the tens column.
::然后加上十列。

\begin{aligned} _{1} \\ 38 \\ \underline{+ 64} \\ 102 \end{aligned}

The sum is 102.
::总数为102。

The total number of soccer balls for Jonah to carry is 102.
::Jonah需要携带的足球总数为102个。

Example 2
::例2

Add together the whole numbers 675 and 587.
::将整个编号675和587加在一起。

First, line up the columns vertically according to place value.
::首先,按照地点值垂直排列列。

\begin{aligned} 675 \\ \underline{+ 587} \end{aligned}

Then add the columns, regrouping as needed.
::然后添加列,按需要重新组合。

\begin{aligned} _{1}_{1} \\ 675 \\ \underline{+ 587} \\ 1262 \end{aligned}

The answer is 1,262.

Example 3
::例3

Find the sum.
::找到数额。

$\begin{aligned} 3, 456 + 87 = \underline{} \end{aligned}$

First, rewrite the problem vertically, lining up numbers by place value.
::首先,垂直重写问题,按地点值排列数字。

\begin{aligned} 3456 \\ \underline{+ 87} \end{aligned}

Then add each column from right to left, regrouping as needed.
::然后将每一列从右到左相加,按需要重新组合。

\begin{aligned} _{1}_{1} \\ 3456 \\ \underline{+ 87} \\ 3543 \end{aligned}

The answer is 3,453.
::答案是3 453

Example 4
::例4

Find the sum.
::找到数额。

$\begin{aligned} 56, 321 + 7, 600 = \underline{} \end{aligned}$

First, rewrite the problem vertically, lining up numbers by place value.
::首先,垂直重写问题,按地点值排列数字。

\begin{aligned} 56321 \\ \underline{+ 7600} \end{aligned}

Then add each column from right to left, regrouping as needed.

\begin{aligned} _{1} \\ 56321 \\ \underline{+ 7600} \\ 63921 \end{aligned}

The answer is 63,921
::答案是63 921

Example 5
::例5

Find the sum.
::找到数额。

$\begin{aligned} 203, 890 + 12, 201 = \underline{} \end{aligned}$

First, rewrite the problem vertically, lining up the numbers by place value.
::首先,垂直重写问题,按地点值排列数字。

\begin{aligned} 203890 \\ \underline{+ 12201} \end{aligned}

Then add each column from right to left, regrouping as needed.
::然后将每一列从右到左相加,按需要重新组合。

\begin{aligned} _{1} \\ 203890 \\ \underline{+ 12201} \\ 216091 \end{aligned}

The answer is 216,091.
::答案是216 091

Review
::回顾

Find each sum.
::找到每一笔钱

$\begin{aligned} 87 + 95 = \underline{} \end{aligned}$
$\begin{aligned} 341 + 12 = \underline{} \end{aligned}$
$\begin{aligned} 673 + 127 = \underline{} \end{aligned}$
$\begin{aligned} 549 + 27 = \underline{} \end{aligned}$
$\begin{aligned} 76 + 106 = \underline{} \end{aligned}$
$\begin{aligned} 124 + 967 = \underline{} \end{aligned}$
$\begin{aligned} 1, 256 + 987 = \underline{} \end{aligned}$
$\begin{aligned} 2, 345 + 1, 278 = \underline{} \end{aligned}$
$\begin{aligned} 3, 100 + 5, 472 = \underline{} \end{aligned}$
$\begin{aligned} 3, 027 + 5, 471 = \underline{} \end{aligned}$
$\begin{aligned} 13, 027 + 7, 471 = \underline{} \end{aligned}$
$\begin{aligned} 23, 147 + 5, 001 = \underline{} \end{aligned}$
$\begin{aligned} 23, 128 + 7, 771 = \underline{} \end{aligned}$
$\begin{aligned} 43, 237 + 5, 071 = \underline{} \end{aligned}$
$\begin{aligned} 22, 027 + 6, 001 = \underline{} \end{aligned}$
$\begin{aligned} 45, 627 + 2, 471 = \underline{} \end{aligned}$
$\begin{aligned} 83, 027 + 51, 471 = \underline{} \end{aligned}$
$\begin{aligned} 94, 127 + 5, 471 = \underline{} \end{aligned}$
$\begin{aligned} 83, 777 + 3, 321 = \underline{} \end{aligned}$
$\begin{aligned} 95, 527 + 12, 471 = \underline{} \end{aligned}$

Review (Answers)
::回顾(答复)

Click to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键。

章节大纲

常规

1.1整数加法

Adding Whole Numbers ::添加完整数字

Examples ::实例

Example 1 ::例1

Example 2 ::例2

Example 3 ::例3

Example 4 ::例4

Example 5 ::例5

Review ::回顾

Review (Answers) ::回顾(答复)

Resources ::资源

Adding Whole Numbers
::添加完整数字

Examples
::实例

Example 1
::例1

Example 2
::例2

Example 3
::例3

Example 4
::例4

Example 5
::例5

Review
::回顾

Review (Answers)
::回顾(答复)

Resources
::资源