Subtract:

$20.4 - 7.68$

Question

02-11-2026
Mathematics

Answered

Subtract:

$20.4 - 7.68$

Verified Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-02T21:10:43-05:00

Align the decimal numbers $20.4$ and $7.68$ by padding the first with a zero: $20.40$ and $7.68$.
Perform column-wise subtraction starting from the hundredths place, borrowing where necessary.
Subtract the hundredths ($10-8=2$), the tenths ($13-6=7$), the units ($9-7=2$), and the tens ($1-0=1$).
The final result is $\boxed{12.72}$.

Explanation

Setting up the Subtraction Problem

To subtract the decimal numbers $20.4$ and $7.68$, we need to align the decimal points to ensure each digit is subtracted from its corresponding place value. Since $20.4$ has one decimal place and $7.68$ has two, we can rewrite $20.4$ as $20.40$ to make the subtraction process straightforward.

Performing the Subtraction

With the numbers aligned, we perform the subtraction column by column, starting from the rightmost position:
\[ \begin{array}{r} 20.40 \ - 7.68 \\ \end{array} \]
Starting at the hundredths column, we have $0 - 8$. Since $0 < 8$, we need to borrow from the tenths column. Borrowing $0.1$ from the tenths place turns the hundredths place into $10 - 8 = 2$.

Now, in the tenths column, we had $4$, but after borrowing, we have $3$. Since $3 < 6$, we need to borrow from the units column. Borrowing $1$ unit turns the tenths place into $13 - 6 = 7$.

Finally, in the units column, we had $0$, but after borrowing, we have $9$ (as we took $1$ from the $20$). So, $9 - 7 = 2$. The tens column now has $1$ remaining. Thus, the result is $12.72$.

Conclusion

By aligning the decimal points and carefully performing the subtraction while accounting for borrowing, we found that $20.4 - 7.68 = 12.72$. Therefore, the final result is $\boxed{12.72}$.

Examples

When shopping, you might have a gift card balance of \$20.40 and decide to purchase an item that costs \$7.68. To determine how much balance remains on your card, you perform the subtraction $20.40 - 7.68$. Understanding how to correctly align and subtract decimal numbers ensures that you can accurately manage your budget and track your expenses in daily life.

Subtract:$20.4 - 7.68$

Verified Answer :

Explanation

Examples

Related Questions

Subtract:

$20.4 - 7.68$