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Question
here are the clues for a mystery number. the number is about 80,000 when rounded to the nearest ten thousand. the number is not equal to 80,000. which number can i be? enter a number that could be the mystery number. hint: there is more than
Step1: Understand Rounding Rule
To round to nearest ten - thousand, we look at the thousands digit. For a number to round to 80,000, if the ten - thousand digit is 8, the thousands digit must be less than 5 (rounding down), and if the ten - thousand digit is 7, the thousands digit must be 5 or more (rounding up). Also, the number is not equal to 80,000.
Step2: Choose a Valid Number
Let's consider a number where the ten - thousand digit is 7 and the thousands digit is 5 or more. For example, take 75000. When we round 75000 to the nearest ten - thousand, since the thousands digit is 5, we round up. So 75000 rounded to the nearest ten - thousand is 80000, and 75000≠80000. Another example could be 79999. When we round 79999 to the nearest ten - thousand, the thousands digit is 9 (which is less than 10, and since we are rounding to ten - thousand, the ten - thousand digit is 7, but wait, no. Wait, 79999: the ten - thousand digit is 7, the thousands digit is 9. When rounding to the nearest ten - thousand, we look at the thousands place. Since 9≥5, we round up the ten - thousand place. So 79999 rounded to the nearest ten - thousand is 80000, and 79999≠80000. Or a number like 81000? Wait, no. If the number is 81000, when we round to the nearest ten - thousand, the thousands digit is 1, which is less than 5, so we round down to 80000. But 81000≠80000. Wait, but let's take 78000. Rounding 78000 to the nearest ten - thousand: the thousands digit is 8≥5, so we round up to 80000, and 78000≠80000. Let's pick 75000 as a valid number.
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75000 (Other valid numbers could be 76000, 77000, 78000, 79000, 79999, 81000, 82000, 83000, 84000 etc.)