MOD & DIV Gym
Work out your integer-arithmetic muscles: DIV for the whole-number quotient, MOD for the remainder, and the clever tricks they unlock - even/odd tests, digit extraction and time conversion.
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Welcome to the MOD & DIV gym 🏋️
Ordinary division gives 17 / 5 = 3.4. But computers often want the two **whole** pieces instead: how many whole 5s fit (3), and what is left over (2). That is what **DIV** and **MOD** do. This module trains both, then shows the tricks they unlock - testing even or odd, pulling out digits, and converting units.
The words you need 🔑
Four terms do all the work:
Match each expression to its value 🔗
- 17 DIV 5
- 17 MOD 5
- 9 DIV 2
- 9 MOD 2
- 3
- 2
- 4
- 1
Even or odd? 🔍
How can a program test whether a whole number n is EVEN?
- Check that n MOD 2 = 0
- Check that n MOD 2 = 1
- Check that n DIV 2 = 0
- Check that n DIV 2 = 1
How DIV and MOD fit together 🟰
DIV and MOD are two halves of the same division. For any whole numbers a and b: **a = (a DIV b) x b + (a MOD b)** For example, 17 = (17 DIV 5) x 5 + (17 MOD 5) = 3 x 5 + 2 = 17. DIV gives the quotient (3), MOD gives the remainder (2).
Work out a DIV ➗
An interactive activity.
When do you reach for MOD? ✅
Select the TWO tasks that use MOD (the remainder).
- Getting the last digit of a number, with n MOD 10
- Checking whether a number is even, with n MOD 2
- Counting how many whole groups fit, with n DIV size
- Removing the last digit, with n DIV 10
Work out a MOD 🔢
An interactive activity.
Two answers from one division ⚖️
The same division, 17 / 5, gives two different whole answers depending on the operator.
One more remainder 🧮
An interactive activity.
Put it together 🧱
The _____ operator gives the whole-number result of a division, while _____ gives the _____. So 17 DIV 5 is _____ and 17 MOD 5 is _____.
Split a two-digit number 🪜
An interactive activity.
Trace the time converter 📊
An interactive activity.
The grade-9 habit 🌟
Choose the operator by what you need: **DIV** when you want the whole-number **quotient** (how many fit, removing digits, whole hours), **MOD** when you want the **remainder** (even/odd, the last digit, leftover minutes). They team up beautifully - hours = mins DIV 60 and leftover = mins MOD 60, or tens = n DIV 10 and units = n MOD 10. Reach for the right one, and combine them - top band.