Insert the missing digits in order to obtain a number that correctly lies within the given range:
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Insert the missing digits in order to obtain a number that correctly lies within the given range:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We need to find a number of the form and check possible combinations for the '?'. Given the choices, we'll consider 7,001 to 8,100 as the interval.
Step 2: Evaluate: the number should start with either 7 or 8 because 7,001 is above 7,000. Checking, and are obvious boundaries and choices.
Substitute option '8,0' leading to which satisfies:
.
Therefore, the correct missing digits are .
Insert the missing digits in order to obtain a number that correctly lies within the given range:
\( 7,001 < ??98 < 8,100 \)
If the first digit is 6, you get , which is less than 7,001 (violates the left boundary). If it's 9, you get , which is greater than 8,100 (violates the right boundary).
Look at the upper boundary carefully! Since we need the number to be less than 8,100, and our number ends in 98, we need 8,098. If we used 7,098, it would work too, but check the answer choices!
In this problem, both and satisfy the inequality. However, you must choose from the given options. Only (8,0) appears in the choices.
Yes! You must verify that your number is both greater than 7,001 AND less than 8,100. Missing either check can lead to wrong answers.
The comma separates the two missing digits. For example, (8,0) means the first missing digit is 8 and the second missing digit is 0, giving you 8,098.
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