Model Division
What is the term used to describe the result of a division calculation?
Quotient. (The remaining amount is called the remainder).
What is the remainder when you divide 39 by 5, and how would you express it in words?
4 (39 div 5 = 7 remainder four).
Using the fact family of 4, 7, and 28, solve the division problem 28 ÷ 7.
4 (28 ÷ 7 = 4).
Define the term "quotient" in relation to division.
The quotient is the answer obtained by dividing one number (dividend) by another (divisor).
Explain how division and multiplication are related in terms of the divisor and quotient.
They are inverse (opposite) operations. Multiplying the divisor by the quotient gives the dividend
How can you model a division problem using materials or diagrams?
You can use equal grouping (sorting physical counters into equal piles) or arrays/area models (drawing a grid where total items are arranged into equal rows and columns).
Divide 48 by 9 and write the remainder in words.
48 div 9 = 5 remainder three.
If 9 x 6 = 54, what is the division problem that corresponds to this fact family?
54 div 6 = 9 (or 54 div 9 = 6).
Calculate the quotient when dividing 45 by 9.
5 (45 div 9 = 5)
If 5 x 6 = 30, what division problem can you create using these numbers?
30 div 6 = 5 (or 30 div 5 = 6).
Explain how you can use known multiplication fact families to solve division problems involving remainders.
Find the closest smaller multiple using a multiplication fact, then subtract that from the total to find the leftover remainder. For example, for 23 div 5: think 5 times 4 = 20, then 23 - 20 = 3. The answer is 4 with a remainder of 3.
If you divide 63 by 8, what is the remainder in words?
63 div 8 = 7 remainder seven.
How can you use the fact family of 3, 5, and 15 to solve the division problem 15 ÷ 3?
Since 3 X 5 = 15, dividing 15 by 3 leaves the missing factor: 5.
Find the quotient of 56 divided by 7.
8 (56 div 7 = 8).
Show how the numbers in the division problem 36 ÷ 6 are connected through multiplication.
The divisor (6) multiplied by the quotient (6) equals the dividend (36), written as 6 X 6 = 36.
Solve the following division problem and express the remainder in words: 25 ÷ 7
3 with a remainder of 4 (7 X 3 = 21, leaving 4)
Express the remainder in words when dividing 57 by 6.
57 div 6 = 9 remainder three
Solve the division problem 24 ÷ 6 using the fact family of 4, 6, and 24.
4 (24 ÷ 6 = 4)
What is the quotient of 72 ÷ 8?
9 (72 div 8 = 9).
How are the numbers in the division problem 49 ÷ 7 related through multiplication?
Dividing 49 into 7 equal parts yields 7, showing that 7 X 7 = 49 (a square number fact).
A square number fact (also called a perfect square fact) is a multiplication or division fact where a number is multiplied by itself.
Show the connection between division and multiplication when the divisor is 4 and the quotient is 5.
The dividend is 20 because 4 X 5 = 20. In division, this represents 20 div 4 = 5.
How would you write the remainder in words for 82 divided by 10?
82 div 10 = 8 remainder two
If you know that 8 x 9 = 72, what division problem can you solve using this fact family?
72 div 9 = 8 (or 72 div 8 = 9).
If the quotient of a division problem is 9 and the divisor is 3, what is the dividend?
27 (Quotient X Divisor = Dividend is the same as 9 X 3 = 27).
Create a division problem that demonstrates the connection between division and multiplication using the numbers 24, 6, and 4
24 div 6 = 4 (which connects directly to 6 X 4 = 24 or 4 X 6 = 24).