คำตอบ - Long addition
คำอธิบายทีละขั้นตอน
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | ||||||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
2. Add up the digits in each column, from right to left
Add the numbers in the ones place value.
4+0+0+0=4
Write 4 in the ones place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | ||||||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 4 |
Add the numbers in the tens place value.
7+3+0+0=10
Write 0 in the tens place.
Because the sum is greater than 9, carry the 1 to the hundreds place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 1 | |||||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 0 | 4 |
Add the numbers in the hundreds place value.
1+3+0+2+0=6
Write 6 in the hundreds place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 1 | |||||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 6 | 0 | 4 |
Add the numbers in the thousands place value.
0+1+3+4=8
Write 8 in the thousands place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 1 | |||||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 8 | 6 | 0 | 4 |
Add the numbers in the ten thousands place value.
4+7+8+7=26
Write 6 in the ten thousands place.
Because the sum is greater than 9, carry the 2 to the hundred thousands place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 2 | 1 | ||||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 6 | 8 | 6 | 0 | 4 |
Add the numbers in the hundred thousands place value.
2+4+3+3=12
Write 2 in the hundred thousands place.
Because the sum is greater than 9, carry the 1 to the millions place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 1 | 2 | 1 | |||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 2 | 6 | 8 | 6 | 0 | 4 |
Add the numbers in the millions place value.
1+5+0=6
Write 6 in the millions place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 1 | 2 | 1 | |||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 6 | 2 | 6 | 8 | 6 | 0 | 4 |
Add the numbers in the ten millions place value.
Write 4 in the ten millions place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| Carry | 1 | 2 | 1 | |||||
| 4 | 0 | 3 | 7 | 4 | ||||
| 4 | 7 | 1 | 0 | 3 | 0 | |||
| 5 | 3 | 8 | 3 | 2 | 0 | 0 | ||
| + | 4 | 0 | 3 | 7 | 4 | 0 | 0 | 0 |
| 4 | 6 | 2 | 6 | 8 | 6 | 0 | 4 |
The solution is: 46,268,604
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Addition is the most basic math action and is used daily by almost everybody. Playing games, paying at the supermarket, and cooking are just a few examples of when we add.
Long addition is a clear and simple method to add numbers. Especially big numbers.
Although today calculators do this job for us, understanding the concept of addition is a key ability for understanding math.