Question

Four students will share equally three 500 -count packages of $3^{\prime \prime} \times 5^{\prime \prime}$ index cards. a. Determine the total number of index cards to be distributed. b. How many index cards will each student receive? c. Set up the calculation as a long division and divide. d. Identify the divisor and the dividend. What is the quotient? What is the remainder, if any? e. Are there any index cards left over?

Short answer

Answer: Each student will receive 375 index cards.

Step-by-step solution

Find the total number of index cards

To find the total number of index cards, multiply the number of packages (3) by the number of index cards per package (500). This can be represented as: Total index cards = 3 * 500

Calculate the total number of index cards

Now, perform the multiplication: Total index cards = 1500

Determine the number of index cards each student will receive

To find the number of index cards each student will receive, divide the total number of index cards (1500) by the number of students (4). This can be represented as: Index cards per student = 1500 / 4

Perform long division

Now, perform long division to calculate the number of index cards per student: _____ 4 | 1500 - 12 _____ 30 - 28 ______ 20 - 16 ______ 40 - 36 _______ 4

Identify the divisor, dividend, quotient, and remainder

In the long division performed in Step 4, the divisor is 4 (number of students), the dividend is 1500 (total number of index cards), the quotient is 375 (index cards per student), and the remainder is 0 (no left-over index cards).

Check if there are any index cards left over

Since the remainder in the long division is 0, there are no index cards left over. Every student will receive an equal number of index cards. To summarize: a. The total number of index cards to be distributed is 1500. b. Each student will receive 375 index cards. c. The long division calculation is done in Step 4. d. The divisor is 4, the dividend is 1500, the quotient is 375, and the remainder is 0. e. There are no index cards left over.