stands for any number.
Select the three expressions below that could have a remainder of 5.
÷ 9
÷ 6
÷ 3
÷ 7
÷ 5
÷ 4
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To find expressions that could have a remainder of 5, we need to look for divisors that are greater than 5, as the remainder must be less than the divisor.
Let’s analyze the options:
1. ÷ 9: A number that gives a remainder of 5 when divided by 9 could be 5, 14, 23, etc. (valid).
2. ÷ 6: A number giving a remainder of 5 when divided by 6 could be 5, 11, etc. (valid).
3. ÷ 3: A number cannot give a remainder of 5 when divided by 3, as the possible remainders are 0, 1, or 2 (not valid).
4. ÷ 7: A number that gives a remainder of 5 when divided by 7 could be 5, 12, etc. (valid).
5. ÷ 5: A number cannot give a remainder of 5 when divided by 5, as the possible remainders are 0, 1, 2, 3, or 4 (not valid).
6. ÷ 4: A number cannot give a remainder of 5 when divided by 4, as the possible remainders are 0, 1, 2, or 3 (not valid).
Thus, the three expressions that could have a remainder of 5 are