Solved on Nov 21, 2023

Solve the subtraction problem 3.4821.1863.482 - 1.186 using the subtraction algorithm.

STEP 1

Assumptions1. We are using the standard subtraction algorithm. . We are dealing with decimal numbers.
3. The numbers are aligned such that the decimal points line up.

STEP 2

We start the subtraction from the rightmost column (the smallest place value), which is the thousandths place in this case.
.4821.1862\begin{array}{r} \square \square \square \\ .482 \\ -1.186 \\ \hline \square \square \square2\end{array} Here,2 subtracted by6 would give a negative result, so we need to borrow1 from the next column (hundredths place).

STEP 3

We borrow1 from the hundredths place. This makes the number in the thousandths place12 (2 +10) and the number in the hundredths place7 (8 -1).
73.4821.18662\begin{array}{r} \square \square7 \\ 3.482 \\ -1.186 \\ \hline \square \square62\end{array} Now, we subtract6 from12 to get6 in the thousandths place.

STEP 4

Next, we move to the hundredths place. We subtract the number in the hundredths place of the second number from the number in the hundredths place of the first number.
73.4821.186262\begin{array}{r} \square \square7 \\ 3.482 \\ -1.186 \\ \hline \square262\end{array} Here,7 subtracted by8 would give a negative result, so we need to borrow1 from the next column (tenths place).

STEP 5

We borrow1 from the tenths place. This makes the number in the hundredths place17 (7 +10) and the number in the tenths place3 (4 -1).
373.4821.186292\begin{array}{r} \square37 \\ 3.482 \\ -1.186 \\ \hline292\end{array} Now, we subtract8 from17 to get9 in the hundredths place.

STEP 6

Next, we move to the tenths place. We subtract the number in the tenths place of the second number from the number in the tenths place of the first number.
33.4821.1862962\begin{array}{r} \square3 \\ 3.482 \\ -1.186 \\ \hline2962\end{array} Here,3 subtracted by1 gives2 in the tenths place.

STEP 7

Finally, we move to the ones place. We subtract the number in the ones place of the second number from the number in the ones place of the first number.
3373.4821.18622962\begin{array}{r} 337 \\ 3.482 \\ -1.186 \\ \hline22962\end{array} Here,3 subtracted by1 gives2 in the ones place.
The final result of the subtraction is2.2962.

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