Penyelesaian - Long addition
Penjelasan langkah demi langkah
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | |||||||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
2. Add up the digits in each column, from right to left
Add the numbers in the ones place value.
6+0+0+0+0=6
Write 6 in the ones place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | |||||||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 6 |
Add the numbers in the tens place value.
1+0+0+0+0=1
Write 1 in the tens place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | |||||||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 1 | 6 |
Add the numbers in the hundreds place value.
6+7+4+0+0=17
Write 7 in the hundreds place.
Because the sum is greater than 9, carry the 1 to the thousands place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 1 | ||||||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 7 | 1 | 6 |
Add the numbers in the thousands place value.
1+6+7+5+6+0=25
Write 5 in the thousands place.
Because the sum is greater than 9, carry the 2 to the ten thousands place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 2 | 1 | |||||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 5 | 7 | 1 | 6 |
Add the numbers in the ten thousands place value.
2+7+5+1+8+4=27
Write 7 in the ten thousands place.
Because the sum is greater than 9, carry the 2 to the hundred thousands place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 2 | 2 | 1 | ||||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 7 | 5 | 7 | 1 | 6 |
Add the numbers in the hundred thousands place value.
2+9+9+3+5=28
Write 8 in the hundred thousands place.
Because the sum is greater than 9, carry the 2 to the millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 2 | 2 | 2 | 1 | |||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 8 | 7 | 5 | 7 | 1 | 6 |
Add the numbers in the millions place value.
2+1+2+1=6
Write 6 in the millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 2 | 2 | 2 | 1 | |||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 6 | 8 | 7 | 5 | 7 | 1 | 6 |
Add the numbers in the ten millions place value.
7+9=16
Write 6 in the ten millions place.
Because the sum is greater than 9, carry the 1 to the hundred millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 1 | 2 | 2 | 2 | 1 | ||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 6 | 6 | 8 | 7 | 5 | 7 | 1 | 6 |
Add the numbers in the hundred millions place value.
1+1+1=3
Write 3 in the hundred millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| TABLE_NAME_CARRY | 1 | 2 | 2 | 2 | 1 | ||||
| 7 | 6 | 6 | 1 | 6 | |||||
| 9 | 5 | 7 | 7 | 0 | 0 | ||||
| 1 | 9 | 1 | 5 | 4 | 0 | 0 | |||
| 1 | 7 | 2 | 3 | 8 | 6 | 0 | 0 | 0 | |
| + | 1 | 9 | 1 | 5 | 4 | 0 | 0 | 0 | 0 |
| 3 | 6 | 6 | 8 | 7 | 5 | 7 | 1 | 6 |
The solution is: 366,875,716
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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.