Question

What is 6.700-4.457 using standard algorithm?

Answer 1

The difference between 6.700 and 4.457 is 2.243, obtained by aligning the decimal points and subtracting the latter from the former using the standard subtraction algorithm.

Step-by-step explanation:

To subtract 4.457 from 6.700 using the standard algorithm, you need to align the numbers vertically by their decimal points and subtract as if they were whole numbers, taking care to borrow when necessary. Here's a step-by-step solution:

1. Write the numbers vertically and align the decimal points:
2. 6.700
3. 
   
4. - 4.457
5. 
   
6. ------------- 2.243
7. Subtract the digits in the hundredths place: 0 - 7. As you cannot take 7 from 0, you need to borrow 1 from the tenths place, turning it into 10. Subtract 7 from 10 to get 3.
8. After borrowing, the tenths place is now 6. Subtract 5 from 6 to get 1.
9. Subtract the digits in the ones place: 6 - 4 to get 2.
10. Since there are no digits to subtract in the tens place or beyond, the answer remains unchanged to the left of the ones place.
11. Combine the results to get the final answer:
12. 6.700
13. 
    
14. - 4.457
15. 
    
16. ------
17. 
    
18. 2.243

The difference between 6.700 and 4.457 is 2.243.