Question: Homework 5.2: Adding and Subtracting Decimals
Score: 3/10 Answered: 3/10
Question 4
0/1 pt 100 99 Details
Subtract: $16.079 - 9.79$
1. **State the problem:** We need to subtract $9.79$ from $16.079$.
2. **Align the decimals:** Write the numbers so the decimal points line up:
$$\begin{array}{r}
16.079 \\
-\ 9.790 \\
\hline
\end{array}$$
3. **Subtract starting from the right:**
- Thousandths place: $9 - 0 = 9$
- Hundredths place: $7 - 9$ cannot subtract, so borrow $1$ from the tenths place.
4. **Borrowing:**
- Tenths place: $0$ becomes $-1$ after borrowing, so borrow $1$ from the ones place.
- Ones place: $6$ becomes $5$, tenths place becomes $9$ after borrowing.
- Now hundredths place: $7 + 10 = 17$, so $17 - 9 = 8$
5. **Continue subtraction:**
- Tenths place: $9 - 7 = 2$
- Ones place: $5 - 9$ cannot subtract, borrow $1$ from tens place.
- Tens place: $1$ becomes $0$, ones place becomes $15$.
- Ones place: $15 - 9 = 6$
- Tens place: $0 - 0 = 0$
6. **Write the result:**
$$\begin{array}{r}
16.079 \\
-\ 9.790 \\
\hline
6.289 \\
\end{array}$$
7. **Final answer:** $16.079 - 9.79 = 6.289$