If a number leaves a remainder of 4 when divided by 8, which of the following numbers will also leave the same remainder when divided by 8?

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Q: If a number leaves a remainder of 4 when divided by 8, which of the following numbers will also leave the same remainder when divided by 8?

Solution: 20 leaves a remainder of 4 when divided by 8 (8*2 + 4 = 20).

Steps: 5

Step 1: Understand what it means for a number to leave a remainder of 4 when divided by 8. This means that when you divide the number by 8, the result is not a whole number, and there is a leftover amount of 4.
Step 2: Write the general form of a number that leaves a remainder of 4 when divided by 8. This can be expressed as: number = 8 * k + 4, 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 4 (8*0 + 4). For k = 1, the number is 12 (8*1 + 4). For k = 2, the number is 20 (8*2 + 4).
Step 4: Check if the given number (20) leaves a remainder of 4 when divided by 8. Divide 20 by 8, which equals 2 with a remainder of 4. This confirms that 20 leaves a remainder of 4.
Step 5: To find other numbers that leave the same remainder, you can use the formula from Step 2 with different values of k. For example, k = 3 gives you 28 (8*3 + 4), which also leaves a remainder of 4 when divided by 8.