Question

jacob traveled 171 miles in 3.8 hours. he wants to know how many miles he traveled in one hour, so he set up this problem:

(3.8 \overline{) 171})

jacob started by multiplying the divisor and the dividend by 10. this is the new problem:

(38 \overline{) 1710})

use long division to find the quotient.

• 0.45
• 4.5
• 45
• 450

Explanation:

Set up the division problem

We need to find the quotient of the division problem:

$$171 \div 3.8$$

Using Decimal Division, we multiply both the divisor and the dividend by \(10\) to make the divisor a whole number. This gives us:

$$1710 \div 38$$

Perform long division steps

Using Long Division Steps, we divide \(1710\) by \(38\):

• First, we see how many times \(38\) goes into \(171\).
• Since \(38 \times 4 = 152\) and \(38 \times 5 = 190\), it goes in \(4\) times.
• Subtract \(152\) from \(171\):

$$171 - 152 = 19$$

• Bring down the next digit, which is \(0\), making the number \(190\).

Find the final quotient

• Next, we see how many times \(38\) goes into \(190\).
• Since \(38 \times 5 = 190\), it goes in exactly \(5\) times with no remainder:

$$190 - 190 = 0$$

• Combining the digits, the quotient is \(45\).

Answer:

• 0.45
• 4.5
• 45 (Correct answer)
• 450