THE PROBLEM.

Write three 4-digit numbers. The first number should be greater than 5,000; the second number should be less than 5,000; and the third number should be a number which, when rounded to the nearest thousand, is 5,000. Explain why you chose the numbers you did.

REWRITE THE PROBLEM IN YOUR OWN WORDS.
(Rewrite one sentence at a time)

Write three numbers in which the highest place is the Thousands. The first 4-digit number must be larger than 5,000 but smaller than 10,000. The next number needs to be more than 999 and smaller than 5,000. The last number needs to be 4,500 or higher but less than or equal to 5,499.  Describe how you picked the 4-digit numbers.

SOLVE THE PROBLEM.

6,000

1,000

4,799

EXPLAIN YOUR SOLUTION.

      1.   I knew that the number I picked has to be larger than 5,000 and smaller than 10,000.  I knew that 6,000 is between 5,000 and 10,000 because 10,000 is 5,000 more than 5,000 and 6,000 is only 1,000 more.  The number in the thousand period in 5,000 is 5 and in 6,000 it is 6.  the number in the thousands period for 10,000 is 10.  I know that 6 comes between 5 and 10.  This is why I picked 6,000.

2.  I know that the second number had to be greater than 999 because it had to have 4 digits.  It also had to be less than 5,000 which is why I chose the 4 digit number 1,000.  In both numbers the thousands place is the greatest place with any value in it.  The number in the thousands place in 5,000 is 5 while in 1,000 the number is 1.  I know that when I count I say one before I get to 5 so I know it’s a smaller number. This is why I picked 1,000. 

3.  I chose 4,799 because it rounds to 5,000.  I know it rounds to 5,000 because when rounding numbers I underline the digit in the place I’m rounding to.  In this case I underlined the 4 in the thousands place.  I then looked at the digit in the hundreds place which is to the right of the thousands place.  I know that the digit in the thousands place goes up.  All the digits to the right of the thousands place became zeros.  This is how I know that 4,799 rounds to 5,000.