When a number is divided by 9, it leaves a remainder of 6. What will be the rema
Practice Questions
Q1
When a number is divided by 9, it leaves a remainder of 6. What will be the remainder when the same number is divided by 3?
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Questions & Step-by-Step Solutions
When a number is divided by 9, it leaves a remainder of 6. What will be the remainder when the same number is divided by 3?
Step 1: Understand that when a number is divided by 9 and leaves a remainder of 6, it can be written as: number = 9k + 6, where k is some integer.
Step 2: Now, we need to find the remainder when this number (9k + 6) is divided by 3.
Step 3: Break down the expression: 9k can be divided by 3 without any remainder because 9 is a multiple of 3.
Step 4: Now, look at the remainder of 6 when divided by 3. Since 6 divided by 3 equals 2 with a remainder of 0, we have: 6 mod 3 = 0.
Step 5: Combine the results: Since 9k gives a remainder of 0 and 6 gives a remainder of 0 when divided by 3, the total remainder when the number is divided by 3 is also 0.
