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Explain why 300-186 is the same as 299-185.

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User AndiM
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2 Answers

5 votes

Final answer:

The expressions 300-186 and 299-185 yield the same result because subtracting the same number (1) from both the minuend and the subtrahend does not change the difference between them.

Step-by-step explanation:

Explaining why 300-186 is the same as 299-185 involves understanding the properties of subtraction and the concept of equivalence. Both expressions are examples of applying the principle that states if you subtract the same number from both the minuend (the number from which another number is subtracted) and the subtrahend (the number that is to be subtracted), the difference remains the same.

Let's break it down: 300 minus 186 can be rethought by subtracting 1 from 300 (giving us 299) and also subtracting 1 from 186 (giving us 185). This leaves us with 299 minus 185. Since we've subtracted an equal amount (1) from both numbers, the difference remains unchanged. Another way to see this is by using the subtraction method:

  • 300 - 186 = (300 - 1) - (186 - 1)
  • 300 - 186 = 299 - 185

Therefore, 300 - 186 and 299 - 185 are equivalent expressions because they yield the same result.

answered
User Itsmcgh
by
7.9k points
3 votes
Hey there!

They are both the same because they equal the same thing.

300 - 186 = 114
299 - 185 = 114

Hope this helps you!

Always remember, you are a Work Of Art!
- Nicole <3 :)
answered
User Keithjgrant
by
8.6k points

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