Choose numbers with a particular quotient

Understanding Quotient:

  • The quotient is the result you get when you divide one number by another.
  • For example, in the division 12 ÷ 4 – 3 the quotient is 3.

Division Vocabulary:

  • Dividend: The number that is being divided.
  • Divisor: The number you are dividing by.
  • Quotient: The result of the division.

Steps to Find the Quotient:

  • Step 1: Identify the dividend (the larger number).
  • Step 2: Identify the divisor (the smaller number).
  • Step 3: Divide the dividend by the divisor to get the quotient.

Choosing Numbers for a Particular Quotient:

  • To choose numbers that give a specific quotient, use the formula:

Dividend – Quotient×Divisor

  • For example, if you want a quotient of 5 and you choose a divisor of 3, the dividend would be 5 × 3 – 15 So, 15 divided by 3 gives the quotient 5.

Examples:

  • Example 1: If the quotient is 7, and the divisor is 4:

7 × 4 = 28 so 28 ÷ 4 – 7

  • Example 2: If the quotient is 8, and the divisor is 2:

8 × 2 – 16 so 16 ÷ 2 – 8

Learn with an example

 ___÷ ___ = 8

Look for numbers in the box that have 8 as a factor.

24 has 8 as a factor. What number can you divide 24 by to get 8?

24 ÷ 3 = 8
3 is in the box.

The division number sentence is 24 ÷ 3 = 8.

solution:

Look for numbers in the box that have 4 as a factor.

8 has 4 as a factor. What number can you divide 8 by to get 4?

8 ÷ 2 = 4
2 is in the box.

The numbers 8 and 2 have a quotient of 4.


___ ÷___  = 9

solution:

Look for numbers in the box that have 9 as a factor.

27 has 9 as a factor. What number can you divide 27 by to get 9?

27 ÷ 3 = 9
3 is in the box.

The division number sentence is 27 ÷ 3 = 9.

Let’s practice!