Solve: Subtracting 6.54 from 17 in Vertical Format

Question

176.54-

Video Solution

Solution Steps

00:00 Solve
00:03 Place 0 in the missing digits, mark the decimal point
00:06 Start subtracting from right to left
00:09 The digit is too small for subtraction, so we'll borrow from the next possible one
00:14 The next digit will decrease by 1, and our digit will increase by 10
00:20 Again, the next digit will decrease by 1, and our digit will increase by 10
00:32 Now let's subtract from the larger number
00:35 Calculate and place accordingly
00:43 Continue subtracting, calculating, and placing accordingly
01:09 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the numbers 17 17 and 6.54 6.54 for vertical subtraction.
  • Step 2: Perform the subtraction starting with the rightmost digit.
  • Step 3: Borrow from the whole part if needed to subtract the decimal part correctly.

Now, let's work through each step:
Step 1: Write the numbers vertically with the decimal point aligned:
017.00 6.54 \begin{array}{c} \phantom{0}17.00 \\ -\ 6.54 \\ \hline \end{array} Step 2: Start subtracting from the rightmost column, which are the hundredths:
Subtract 4 4 from 0 0 . Since we can't subtract a larger number from a smaller one, we'll need to borrow.
Step 3: Borrow 1 from the tenths place, making 0 0 in the tenths as 9, and the hundredths as 10. This borrowing changes 17.00 17.00 to 16.9(10) 16.9(10) .
Subtract 4 4 from 10 10 which gives 6 6 in the hundredths:
 9.46 \begin{array}{c} \phantom{\ }9.46 \\ \hline \end{array} Finally, verify the operations: Subtract 5 5 from 9 9 to give 4 4 in the tenths:
Subtract 6 6 from the left part itself given 16 16 now, leaving 10 10 in the units:
Step 5: Combine these to get our final result 10.46 10.46 .

Therefore, the correct solution to the problem is 10.46 10.46 , which matches choice 3 3 in the provided options.

Answer

10.46