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The digits 6, 2, 9, and 5 are written on four cards as shown: The cards can be rearranged to make different four-digit numbers, for example: 9 6 5 2 = 9652 - Junior Cycle Mathematics - Question 1 - 2014

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The-digits-6,-2,-9,-and-5-are-written-on-four-cards-as-shown:----The-cards-can-be-rearranged-to-make-different-four-digit-numbers,-for-example:-9-6-5-2-=-9652-Junior Cycle Mathematics-Question 1-2014.png

The digits 6, 2, 9, and 5 are written on four cards as shown: The cards can be rearranged to make different four-digit numbers, for example: 9 6 5 2 = 9652. Rear... show full transcript

Worked Solution & Example Answer:The digits 6, 2, 9, and 5 are written on four cards as shown: The cards can be rearranged to make different four-digit numbers, for example: 9 6 5 2 = 9652 - Junior Cycle Mathematics - Question 1 - 2014

Step 1

Rearrange the cards to give an odd number:

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Answer

To create an odd number, we must ensure the last digit is one of the odd digits available, which are 9 and 5. Using the digits 5, 6, 2, and 9, one possible arrangement is:

Therefore, any number using the digits that ends in 9 or 5, such as 5629, is valid.

Step 2

Rearrange the cards to give the smallest possible number:

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Answer

To find the smallest possible number using all four digits, arrange them in ascending order. The smallest arrangement of the digits 2, 5, 6, and 9 is:

Step 3

Insert operators for 3 2 5 = 6:

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Answer

The equation can be correctly formed by inserting the subtraction operator between 3 and 2, like this:

3 - 2 + 5 = 6.

Step 4

Insert operators for 3 2 5 = 1:

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Answer

The correct equation can be achieved by placing the subtraction operator in this manner:

3 - 2 - 5 = 1.

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