How do you estimate # 8,733 + 7,423 + 13,756 # by first rounding each number to the nearest thousand?

1 Answer
Feb 21, 2017

The estimate would be # 30,000 #.

Explanation:

Since you first are rounding each number to the nearest thousand, that is your first step.

1) Take # 8,733 # first:

Hundreds place: # 7 #

# color(red)(NOTE) #

Remember, if the number in the hundreds place is# <= 4 #, then we must round the number down. If the number is# >= 5 #, then we must round the number up

Since the hundreds place in # 8,733 # is # 7 #, this means that the number is rounded up.

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Therefore, # 8,733 # becomes # 9,000 #.

2) Now # 7,423 #:

Hundreds place: # 4 #

Therefore, # 7,423 # becomes # 7,000 #.

3) Finally, # 13,756 #:

Hundreds place: # 7 #

Therefore, # 13,756 # becomes # 14,000 #.

4) Now all you have to do is add up all of your estimated values:

# 9,000 + 7,000 + 14,000 #

# = 16,000 + 14,000 #

# = 30,000 #