Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 1 | 0 | 0 | 0 | ||||||||
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . |
Put zeros in the blank number places:
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the millionths column is too small to get a positive difference, borrow 1 from the number to the left (1000.00000) which becomes (0999.99999) and get (10).
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . |
Subtract the numbers in the millionths column from the top number:
10-0-5=5
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . | 5 |
Subtract the numbers in the hundred thousandths column from the top number:
9-3=6
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . | 6 | 5 |
Subtract the numbers in the ten thousandths column from the top number:
9-1=8
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . | 8 | 6 | 5 |
Subtract the numbers in the thousandths column from the top number:
9-5=4
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . | 4 | 8 | 6 | 5 |
Subtract the numbers in the hundredths column from the top number:
9-3=6
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . | 6 | 4 | 8 | 6 | 5 |
Subtract the numbers in the tenths column from the top number:
9-1=8
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| . | 8 | 6 | 4 | 8 | 6 | 5 |
Subtract the numbers in the ones column from the top number:
9-4=5
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| 5 | . | 8 | 6 | 4 | 8 | 6 | 5 |
Write 9 in the tens place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| 9 | 5 | . | 8 | 6 | 4 | 8 | 6 | 5 |
Write 9 in the hundreds place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| 9 | 9 | 5 | . | 8 | 6 | 4 | 8 | 6 | 5 |
Write 0 in the thousands place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | ||
| 1 | 0 | 0 | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 1 | 3 | 5 | 1 | 3 | 5 | |||
| 0 | 9 | 9 | 5 | . | 8 | 6 | 4 | 8 | 6 | 5 |
The solution is: 995.864865
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