Solution - Long addition
Video Explanation
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | |||||||
| 4 | . | 5 | 9 | 1 | |||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | |||
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | |||||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| . |
2. Add up the digits in each column, from right to left
Add the numbers in the ten thousandths place value.
0+9+0=9
Write 9 in the ten thousandths place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | |||||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| . | 9 |
Add the numbers in the thousandths place value.
1+0+0=1
Write 1 in the thousandths place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | |||||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| . | 1 | 9 |
Add the numbers in the hundredths place value.
9+3+0=12
Write 2 in the hundredths place.
Because the sum is greater than 9, carry the 1 to the tenths place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | ||||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| . | 2 | 1 | 9 |
Add the numbers in the tenths place value.
1+5+2+1=9
Write 9 in the tenths place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | ||||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| . | 9 | 2 | 1 | 9 |
Add the numbers in the ones place value.
4+0+7=11
Write 1 in the ones place.
Because the sum is greater than 9, carry the 1 to the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | |||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| 1 | . | 9 | 2 | 1 | 9 |
Add the numbers in the tens place value.
1+6=7
Write 7 in the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| TABLE_NAME_CARRY | 1 | 1 | |||||
| 4 | . | 5 | 9 | 1 | 0 | ||
| 0 | . | 2 | 3 | 0 | 9 | ||
| + | 6 | 7 | . | 1 | 0 | 0 | 0 |
| 7 | 1 | . | 9 | 2 | 1 | 9 |
The solution is: 71.9219
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Please leave us feedback.Why learn this
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.