To determine which of the given expressions can have a remainder of 6, we need to consider each expression and see if the division of the numbers results in a remainder of 6.
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2,678 ÷ 6:
- Calculate the remainder when dividing 2,678 by 6.
- \( 2,678 \div 6 = 446\) remainder \(2\)
- Remainder is 2, not 6.
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1,490 ÷ 7:
- Calculate the remainder when dividing 1,490 by 7.
- \( 1,490 \div 7 = 212 \) remainder \(6\)
- Remainder is 6.
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5,062 ÷ 8:
- Calculate the remainder when dividing 5,062 by 8.
- \( 5,062 \div 8 = 632 \) remainder \(6\)
- Remainder is 6.
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5,496 ÷ 9:
- Calculate the remainder when dividing 5,496 by 9.
- \( 5,496 \div 9 = 611 \) remainder \(7\)
- Remainder is 7, not 6.
Thus, the expressions that can have a remainder of 6 are:
- 1,490 ÷ 7
- 5,062 ÷ 8
So, the final selections are expressions 2 and 3. Since the prompt asks for three expressions but we found only two, those are the ones applicable. There seems to be no third expression that also fits the criteria.
For clarity, the final selections are:
- 1,490 ÷ 7
- 5,062 ÷ 8