If a number leaves a remainder of 3 when divided by 5, which of the following nu

If a number leaves a remainder of 3 when divided by 5, which of the following numbers will also leave the same remainder when divided by 5?

If a number leaves a remainder of 3 when divided by 5, which of the following numbers will also leave the same remainder when divided by 5?

Step 1: Understand what it means for a number to leave a remainder of 3 when divided by 5. This means that when you divide the number by 5, the leftover amount is 3.
Step 2: Write the general form of a number that leaves a remainder of 3 when divided by 5. This can be expressed as: number = 5 * k + 3, where k is any whole number (0, 1, 2, ...).
Step 3: Calculate a few examples using different values of k. For k = 0, the number is 3 (5*0 + 3). For k = 1, the number is 8 (5*1 + 3). For k = 2, the number is 13 (5*2 + 3).
Step 4: Identify the pattern. The numbers that leave a remainder of 3 when divided by 5 are 3, 8, 13, 18, etc. They can be found by adding 5 repeatedly to 3.
Step 5: Check if any of the given options match this pattern. If an option can be expressed in the form of 5 * k + 3, it will leave a remainder of 3 when divided by 5.

Modular Arithmetic – Understanding how remainders work when dividing numbers, specifically focusing on the concept of congruences.