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
🔥Choose two numbers from the box to complete the division number sentence.
[2,3,5,2,4]
___÷ ___ = 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.
🔥Choose two numbers from the box to complete the sentence.
[2,3,5,8]
__and __ have a quotient of 4.
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.
🔥Choose two numbers from the box to complete the division number sentence.
[2,3,22,27]
___ ÷___ = 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!