Here are the steps to find:
7 Mod 6 is 1
What Is Modulo?
Modulo is also known as Modulus or mod is the remainder after you divide a number with another number. If there is no reminder then the mod is zero.
The operator for Modulo is mod or % as used in programming. Here are two ways to calculate modulus.
How to calculate Modulo
Method 1: By ignoring decimals
To calculate X mod Y
Step 1: Divide X and Y
Step 2: Ignore decimals if any and multiply the answer by divisor Y (Round down)
Step 3: Subtract the answer from the second step from the divinded X
Example
How to calculate 1 mod 3
| Step 1: | 7 | Divide | 6 | equals | 1.166666667 | |
| Step 2: | Ignore decimals | 1 | ||||
| 1 | Multiply | 6 | Equals | 6 | ||
| Step 3: | 7 | Minus | 6 | Equals | 1 | |
| Therefore: | 7 | MOD | 6 | is | 1 | |
Method 2: Ignoring Whole numbers
To calculate X mod Y
Step 1: Divide X by Y
Step 2: Ignore the whole numbers and work with the decimals
Step 3: Multiply the decimal numbers by divisor Y
Example
How to calculate 7 mod 6
| Step 1: | 7 | Divide | 6 | Equals | 1.166666667 | |
| Step 2: | Ignore Whole numbers | 0.166666667 | ||||
| Step 3: | 0.166666667 | Multiply | 6 | Equals | 6 | |
| Therefore: | 7 | MOD | 6 | is | 1 | |
Practical Uses of Modulo
1. To determine whether a number is odd or Even
2. To convert seconds into hours, minutes and seconds
3. In programming to create a loop (do something every nth time)
Solve another Modulus: