false
Catalog
Grades 5-6 Video Solutions 2022
2022_5-6_09
2022_5-6_09
Back to course
[Please upgrade your browser to play this video content]
Video Transcription
Question number 9. Polito rearranges the 7 pieces shown to get the smallest possible 12-digit number. What are the last 3 digits of this number? The pieces start with the digits 1, 4, 5, 6, and 9. What we know about making smallest possible digit numbers is that pieces with smaller first digits should be on the left of those with larger first digits. So, pieces with 1s, 4s, should be ahead of those with 5s, 6s, and 9s. So, we can kind of write that out over here, and we see that the first number that we should definitely have is 1, 1, 3, followed by 4, then 51 or 5, then 67 or 69, and then finally 9 at the very, very end. Now, taking a look at these two in a case-by-case basis, we can see that 515 is less than 551, and 6769 is less than 6967. So, this tells us which order we want to keep these in. We want to keep these in this same order, 5, 1, 5, and then 6, 7, 6, 9. That gives us this long number as the final solution. And, of course, the last 3 digits of this number are 6, 9, 9. And with that, the answer is A.
Video Summary
Question number 9. Polito rearranges the 7 pieces shown to get the smallest possible 12-digit number. What are the last 3 digits of this number? The pieces start with the digits 1, 4, 5, 6, and 9. What we know about making smallest possible digit numbers is that pieces with smaller first digits should be on the left of those with larger first digits. So, pieces with 1s, 4s, should be ahead of those with 5s, 6s, and 9s. So, we can kind of write that out over here, and we see that the first number that we should definitely have is 1, 1, 3, followed by 4, then 51 or 5, then 67 or 69, and then finally 9 at the very, very end. Now, taking a look at these two in a case-by-case basis, we can see that 515 is less than 551, and 6769 is less than 6967. So, this tells us which order we want to keep these in. We want to keep these in this same order, 5, 1, 5, and then 6, 7, 6, 9. That gives us this long number as the final solution. And, of course, the last 3 digits of this number are 6, 9, 9. And with that, the answer is A.
Keywords
smallest number
digit arrangement
last three digits
number puzzle
Polito
×
Please select your language
1
English