If a number leaves a remainder of 5 when divided by 8, which of the following co

If a number leaves a remainder of 5 when divided by 8, which of the following could be the number?

If a number leaves a remainder of 5 when divided by 8, which of the following could be the number?

Step 1: Understand what it means to leave a remainder. When a number is divided by another number, the remainder is what is left over after the division.
Step 2: In this case, we are dividing by 8 and we want a remainder of 5.
Step 3: This means that if we take our number and subtract 5 from it, the result should be divisible by 8.
Step 4: Write the equation: Number = 8 * k + 5, where k is any whole number (0, 1, 2, ...).
Step 5: Start with k = 0: Number = 8 * 0 + 5 = 5.
Step 6: Next, try k = 1: Number = 8 * 1 + 5 = 13.
Step 7: Now try k = 2: Number = 8 * 2 + 5 = 21.
Step 8: Continue this process to find more numbers: k = 3 gives 29, k = 4 gives 37, etc.
Step 9: Check if any of these numbers leave a remainder of 5 when divided by 8.

Modular Arithmetic – Understanding how remainders work when dividing numbers.
Divisibility Rules – Recognizing how to express numbers in terms of their divisors and remainders.