What is the remainder when 1000 is divided by 7?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

What is the remainder when 1000 is divided by 7?

Explanation:
To find the remainder when dividing 1000 by 7, see how many whole times 7 fits into 1000 and what's left. 7 multiplied by 140 is 980, leaving 20. Then 7 fits into the remaining 20 two more times (7×2 = 14), leaving 6. So the leftover amount is 6. A quick check: 1001 is divisible by 7 (7×143), so 1000 is one less than a multiple of 7, which also leaves a remainder of 6. The remainder is 6.

To find the remainder when dividing 1000 by 7, see how many whole times 7 fits into 1000 and what's left. 7 multiplied by 140 is 980, leaving 20. Then 7 fits into the remaining 20 two more times (7×2 = 14), leaving 6. So the leftover amount is 6. A quick check: 1001 is divisible by 7 (7×143), so 1000 is one less than a multiple of 7, which also leaves a remainder of 6. The remainder is 6.

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