To divide by 10, move the decimal point one place to the left.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the calculations for the circled problems:
1.1
To divide by $10$, move the decimal point one place to the left.
$$2,64 \div 10 = 0,264$$
The answer is $\boxed{0,264}$.
1.3
To divide by $1000$, move the decimal point three places to the left.
$$973,4 \div 1000 = 0,9734$$
The answer is $\boxed{0,9734}$.
1.4
To divide by $100$, move the decimal point two places to the left.
$$5,76 \div 100 = 0,0576$$
The answer is $\boxed{0,0576}$.
2.3
Step 1: Set up the long division.
$$
\begin{array}{r}
9.82 \\
9 \overline{\smash{)} 88.38 } \\
\end{array}
$$
Step 2: Divide $88$ by $9$. $9 \times 9 = 81$.
$$
\begin{array}{r}
9. \\
9 \overline{\smash{)} 88.38 } \\
-81 \downarrow \\
\hline
7 \\
\end{array}
$$
Step 3: Bring down the next digit ($3$) after the decimal point. Place the decimal point in the quotient. Divide $73$ by $9$. $9 \times 8 = 72$.
$$
\begin{array}{r}
9.8 \\
9 \overline{\smash{)} 88.38 } \\
-81 \downarrow \\
\hline
73 \\
-72 \downarrow \\
\hline
1 \\
\end{array}
$$
Step 4: Bring down the next digit ($8$). Divide $18$ by $9$. $9 \times 2 = 18$.
$$
\begin{array}{r}
9.82 \\
9 \overline{\smash{)} 88.38 } \\
-81 \downarrow \\
\hline
73 \\
-72 \downarrow \\
\hline
18 \\
-18 \\
\hline
0 \\
\end{array}
$$
The answer is $\boxed{9,82}$.
2.4
Step 1: Set up the long division.
$$
\begin{array}{r}
3.61 \\
12 \overline{\smash{)} 43.32 } \\
\end{array}
$$
Step 2: Divide $43$ by $12$. $12 \times 3 = 36$.
$$
\begin{array}{r}
3. \\
12 \overline{\smash{)} 43.32 } \\
-36 \downarrow \\
\hline
7 \\
\end{array}
$$
Step 3: Bring down the next digit ($3$) after the decimal point. Place the decimal point in the quotient. Divide $73$ by $12$. $12 \times 6 = 72$.
$$
\begin{array}{r}
3.6 \\
12 \overline{\smash{)} 43.32 } \\
-36 \downarrow \\
\hline
73 \\
-72 \downarrow \\
\hline
1 \\
\end{array}
$$
Step 4: Bring down the next digit ($2$). Divide $12$ by $12$. $12 \times 1 = 12$.
$$
\begin{array}{r}
3.61 \\
12 \overline{\smash{)} 43.32 } \\
-36 \downarrow \\
\hline
73 \\
-72 \downarrow \\
\hline
12 \\
-12 \\
\hline
0 \\
\end{array}
$$
The answer is $\boxed{3,61}$.
