Step-by-step explanation:
In the given set of questions regarding the concept of division, it is important to understand the parts of a division problem.
Definitions:
In a division problem such as 15 ÷ 3 = 5:
- 15 represents the dividend, which is the number being divided into groups.
- 3 represents the divisor, which is the number of groups that divides the dividend.
- 5 represents the quotient, which is the result of dividing the dividend and the divisor.
Solution:
Now that we have defined the parts of a division problem, we can proceed to matching the division problems to its corresponding representation of equal groups.
1.) 15 ÷ 3 = 5 ⇒ "There are 5 equal groups of 3."
If you multiply the quotient, 5, by the divisor, 3, it results in the dividend: 5 × 3 = 15. This occurs because multiplication is the opposite mathematical operation of division.
2.) 45 ÷ 5 = 9 ⇒ "There are 9 equal groups of 5."
9 equal groups of 5 = 9 × 5 = 45.
3.) 8 ÷ 4 = 2 ⇒ "There are 4 equal groups of 2."
4 equal groups of 2 = 4 × 2 = 8.
4.) 18 ÷ 6 = 3 ⇒ "There are 3 equal groups of 6."
3 equal groups of 6 = 3 × 6 = 18.
