Soluzione - Aggiunta lunga
Spiegazione passo passo
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | ||||||||
| 8 | , | 1 | 3 | 0 | 9 | |||
| 8 | 9 | 7 | , | 1 | 8 | |||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 |
| , |
Put zeros in the blank number places:
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | |||||||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| , |
2. Add up the digits in each column, from right to left
Add the numbers in the ten thousandths place value.
9+0+4=13
Write 3 in the ten thousandths place.
Because the sum is greater than 9, carry 1 to the thousandths place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | ||||||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| , | 3 |
Add the numbers in the thousandths place value.
1+0+0+6=7
Write 7 in the thousandths place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | ||||||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| , | 7 | 3 |
Add the numbers in the hundredths place value.
3+8+8=19
Write 9 in the hundredths place.
Because the sum is greater than 9, carry 1 to the tenths place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | |||||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| , | 9 | 7 | 3 |
Add the numbers in the tenths place value.
1+1+1+1=4
Write 4 in the tenths place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | |||||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| , | 4 | 9 | 7 | 3 |
Add the numbers in the ones place value.
8+7+0=15
Write 5 in the ones place.
Because the sum is greater than 9, carry 1 to the tens place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | 1 | ||||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| 5 | , | 4 | 9 | 7 | 3 |
Add the numbers in the tens place value.
1+9+8=18
Write 8 in the tens place.
Because the sum is greater than 9, carry 1 to the hundreds place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | 1 | 1 | |||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| 8 | 5 | , | 4 | 9 | 7 | 3 |
Add the numbers in the hundreds place value.
1+8+2=11
Write 1 in the hundreds place.
Because the sum is greater than 9, carry 1 to the thousands place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | 1 | 1 | 1 | ||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| 1 | 8 | 5 | , | 4 | 9 | 7 | 3 |
Add the numbers in the thousands place value.
Write 1 in the thousands place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | 1 | 1 | 1 | ||||
| 8 | , | 1 | 3 | 0 | 9 | ||||
| 8 | 9 | 7 | , | 1 | 8 | 0 | 0 | ||
| + | 2 | 8 | 0 | , | 1 | 8 | 6 | 4 | |
| 1 | 1 | 8 | 5 | , | 4 | 9 | 7 | 3 |
The solution is: 1185,4973
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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.