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Four playful mathematicians were eating lunch
together at an outside cafe. They noticed a diamond-encrusted Rolex had
been left at the table next to them, so they quickly looked around for the
person who vacated the table. They saw the owner of the watch driving
away.
"Quick, get the license plate," urged one of the
mathematicians, seeing that it was only a 4 digit number. When the car had
disappeared around the corner, they put together these
characteristics:
1. One of the digits is neither prime nor
composite.
2. The digit in the hundreds place is three times
the digit in the thousands place.
3. The digit in the ones
places is four times the digit in the tens place.
4.
The smallest prime number is in the thousands place.
**What
number did the four playful mathematicians see on the license
plate
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Mary, Emily, and Terry gave the School Spirit
Order Form to their dad and asked him to give them money so each could buy
a school t-shirt. In addition, Mary wanted a baseball cap, while
Emily and Terry wanted a school sticker.
School
T-shirts ---------- $15.95 School Stickers ---------- $
1.60 School Baseball Cap-- $12.45
Dad decided to
give the money to Mary. "Tell her how much money I should give her so
there is no money left over for candy," Dad winked...
All three did
quickly looked at the numbers and did some math in their heads. Terry
said, "Give her $59." Emily said, "That's not enough so give her
$65." Mary said, "It will be less than $64 but that is pretty close."
Without actually adding up all of the pieces, how can you estimate
the total to find out approximately how much money will be left over for
some candy? Which estimation would you use?
Why?
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