Question

mr. chang bought 264 pencils to divide evenly among his 22 students. how many pencils did each student receive?

11
12
13
14

Explanation:

Identify the operation

To find how many pencils each student receives, we need to share the total number of pencils equally among the students. This is an Equal Sharing Division problem.

• Total pencils: \(264\)
• Total students: \(22\)
• Operation: \(264 \div 22\)

Set up the division

We will use Long Division Steps to divide \(264\) by \(22\).

• Dividend: \(264\)
• Divisor: \(22\)

Divide the hundreds and tens

First, look at the first two digits of the dividend, which is \(26\).

• How many times does \(22\) go into \(26\)?
• It goes in \(1\) time, because \(22 \times 1 = 22\).
• Subtract \(22\) from \(26\):

$$26 - 22 = 4$$

Divide the remaining units

Next, bring down the next digit, which is \(4\), making the new number \(44\).

• How many times does \(22\) go into \(44\)?
• It goes in exactly \(2\) times, because \(22 \times 2 = 44\).
• Subtract \(44\) from \(44\):

$$44 - 44 = 0$$

State the final quotient

Since the remainder is \(0\), the division is complete.

• Quotient: \(12\)
• Each student receives \(12\) pencils.

Answer:

• 11
• 12 (Correct answer)
• 13
• 14