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Old 2009 August 28th, 10:19 AM   #1 (permalink)
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What's "Last digit shortcut"?

Manhattan's math book has the concept of "last digit shortcut". I read through an example, but honestly I'm blind as to what it's trying to achieve. Here is the actual question:

Find the unit digit of (25) (33) (42)

The answer given is 84. What am I to do with 84?

What am I missing?
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Old 2009 August 28th, 11:16 AM   #2 (permalink)
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Unit's digit is 84???
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Old 2009 August 29th, 02:23 AM   #3 (permalink)
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Unit's digit is a single digit. that must be a typo.
in that particular prob, the unit's digit is 4.
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Old 2009 August 31st, 02:18 PM   #4 (permalink)
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hi joogle,

this is what it means -
when u are multiplying a whole lot of numbers and u want to find the unit's digit then it is sufficient to multiply only the last digits of each of these numbers.
in your example -
2^5 -> last digit is 2
3^3 -> last digit is 7
4^2 -> last digit is 6

so to find the last digit of this multiplication u have to multiply 2*7*6
=84 who's last digit is 4

hence the answer
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