Put a decimal point to the right of each whole number and then divide. Check each answer. \[ \begin{array}{r} 75 \\ \times 4 . \longdiv { 3 0 . 0 } \\ -28 \\ \hline 20 \\ -20 \\ \hline 0 \end{array} \] \( . 2 \longdiv { 3 5 5 } \) \[ \begin{array}{r} 184 \\ . 5 \longdiv { 9 2 } \end{array} \]

Let's break down the problem step by step. ### Step 1: Understanding the Division The division problem presented is: \[ 75 \times 4 \div 30.0 \] ### Step 2: Adding Decimal Points First, we will put a decimal point to the right of each whole number: - \(75\) becomes \(75.0\) - \(4\) becomes \(4.0\) - \(30\) becomes \(30.0\) ### Step 3: Performing the Division Now, we will perform the division: \[ \frac{75.0 \times 4.0}{30.0} \] Calculating \(75.0 \times 4.0\): \[ 75.0 \times 4.0 = 300.0 \] Now, we divide \(300.0\) by \(30.0\): \[ \frac{300.0}{30.0} = 10.0 \] ### Step 4: Checking the Answer To check the answer, we can multiply back: \[ 10.0 \times 30.0 = 300.0 \] This confirms that our division is correct. ### Step 5: Next Division Problem Now, let's look at the next division problem: \[ 0.2 \div 355 \] ### Step 6: Performing the Division We can rewrite \(0.2\) as \(\frac{2}{10}\) or \(2 \div 10\). Thus, we need to calculate: \[ \frac{0.2}{355} \] Calculating this gives: \[ 0.2 \div 355 \approx 0.000563 \] ### Step 7: Checking the Answer To check the answer, we can multiply back: \[ 0.000563 \times 355 \approx 0.2 \] This confirms that our division is correct. ### Step 8: Final Division Problem Now, let's look at the last division problem: \[ 184.5 \div 92 \] ### Step 9: Performing the Division Calculating \(184.5 \div 92\): \[ 184.5 \div 92 \approx 2.0 \] ### Step 10: Checking the Answer To check the answer, we can multiply back: \[ 2.0 \times 92 = 184.5 \] This confirms that our division is correct. ### Summary of Results 1. \(75 \times 4 \div 30.0 = 10.0\) 2. \(0.2 \div 355 \approx 0.000563\) 3. \(184.5 \div 92 \approx 2.0\) All calculations have been verified and are correct.