Jim wants to make a number that rounds to 14.6 when rounded to 1 decimal place. Which four number cards could he use to complete the number in the box?
Understand the Problem
The question asks which four number cards can be combined to form a number that, when rounded to one decimal place, equals 14.6. To solve this, we need to determine possible combinations of the number cards provided.
Answer
4, 5, 2, 6
Answer for screen readers
The combination of cards that satisfies the condition is 4, 5, 6, and 2, which sum to 17.
Steps to Solve
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Identify the Target Range The number Jim wants must round to 14.6 when rounded to one decimal place. This means it must be within the range of 14.55 to 14.64.
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Analyze the Available Number Cards The available number cards are: 1, 4, 5, 6, 2, 3, and 9. We need to use four of these cards to form a number within the identified range.
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Form Possible Combinations Consider combinations of four number cards. The possible combinations can be added together to see which sum is within the target range when expressed as a number in decimal form.
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Calculate the Combinations Let's look for combinations that sum to a decimal close to 14.6. For instance, try different sets like (1, 4, 5, 6), (2, 3, 5, 4), etc., and perform the addition.
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Check the Sum Against the Target After calculating the sum of each combination, check if it falls in the range of 14.55 to 14.64.
Example Calculation
For (1, 4, 5, 6): $$ 1 + 4 + 5 + 6 = 16 $$ This is outside the range.
For (1, 4, 2, 6): $$ 1 + 4 + 2 + 6 = 13 $$ This is also outside the range.
Continue testing combinations until a valid set is found.
The combination of cards that satisfies the condition is 4, 5, 6, and 2, which sum to 17.
More Information
A sum of 17 can be represented as 14.6 when calculated as (14 + \frac{6}{10} = 14.6), aligning with the need for rounding.
Tips
- Incorrect Card Combinations: Sometimes, people might use all unique cards without considering the quantity needed. Make sure to always use exactly four.
- Rounding Misinterpretation: Remember the rounding rules; ensure you're checking the range thoroughly to include all possible sums.
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