Look for a pattern. What is the missing decimal?
Understand the Problem
The question is asking to identify the missing decimal number in a sequence of increasing decimal values, specifically between 7.24 and 7.26. The user must recognize the pattern of consecutive decimals.
Answer
The missing decimal is $7.25$.
Answer for screen readers
The missing decimal is $7.25$.
Steps to Solve
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Identify the sequence The given sequence is: 7.21, 7.22, 7.23, _____, 7.26, 7.27.
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Recognize the pattern Each number in the sequence increases by 0.01. For example:
- $7.21 + 0.01 = 7.22$
- $7.22 + 0.01 = 7.23$
- The next number should therefore be $7.23 + 0.01$.
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Calculate the missing number Add 0.01 to 7.23: $$ 7.23 + 0.01 = 7.24 $$
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Confirm the next value Check if this value fits into the sequence:
- $7.24 + 0.01 = 7.25$
- $7.25 + 0.01 = 7.26$
This confirms that the value fits correctly.
The missing decimal is $7.25$.
More Information
This sequence shows a consistent pattern of adding 0.01 each time, which is common in number series involving decimals. Recognizing this pattern is crucial in finding the missing numbers.
Tips
- Mistaking the interval: Some may incorrectly think the interval is larger or smaller than 0.01.
- Skipping a decimal point: Writing 7.25 as 7.2 or 7.3 can lead to errors in identifying the correct sequence.
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