What is Repeated Subtraction?
Repeated subtractivity is an approach of subtracting the equal variety of items from a larger group. It is likewise well-known as division.
You are watching: Explain why you can use subtraction to solve a division problem
If the same number is repetitively subtracted from another larger number until the remainder is zero or a number smaller sized than the number being subtracted, we have the right to compose that in the develop of department.
If tright here are 25 balls and also we form a team of 5 balls each.
Here, the number 5 has been consistently subtracted 5 times. We deserve to say that the number 5 has actually been subtracted 5 times from 25. So, we can create this subtraction as 25 ÷ 5 = 5.
Similarly, to settle a department problem with recurring subtraction, we repetitively group and subtract the same number aobtain and aobtain to discover the answer.
Here are a few examples of repeated subtraction.
There are 34 stars. How many kind of teams of 4 stars in each have the right to be formed?
In the offered photo we have the right to check out 34 stars. Now, utilizing repeated subtractivity, we can group them in smaller teams of 4 stars in each team. We can start to subtract 4 stars continuously until we are left with 0 or a number less than 4.
34 - 4 = 30 30 - 4 = 26 26 - 4 = 22 22 - 4 = 18 18 - 4 = 14 14 - 4 = 10 10 - 4 = 6 6 - 4 = 2
We gain 8 groups of 4 and also with 2 stars remaining.
This instance can be mathematically written as 34 ÷ 4. Wbelow 34 is the dividfinish. The divisor is the number of stars in each group, that is, 4. The number of times 4 is subtracted is the quotient. So, 8 is the quotient and also the leftover stars are the remainder. So, 2 is the remainder.
Because repetitive subtractivity is division, it have the right to be composed in 2 ways.
Example: Let’s say tright here are 18 items. These deserve to be created in 2 ways as presented.
|18 ÷ 6||18 ÷ 3|
When the divisor is 6, we make groups of 6.
We acquire, 3 teams of 6.
So, 18 ÷ 6 = 3
When the divisor is 3, we make teams of 3.
We obtain, 6 groups of 3.
So, 18 ÷ 3 = 6
Fun fact:Repeated subtraction is favor jumping ago from the bigger number until you obtain a zero or a smaller number.