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Represent a problem with an equation

A problem can be represented by an addition or subtraction equation that names the known quantities, the relationship between them, and the unknown quantity, including unknowns in different positions (for example, 36+?=5236+?=52 or 52−36=?52-36=?) within 1,000. This requires interpreting joining, separating, comparing, and finding a missing part rather than selecting an operation from isolated numbers, while understanding that the equal sign expresses equivalence; formal algebraic generalization and equations involving more advanced operations are beyond this scope.

Detailed Explanation: Represent a problem with an equation

To represent a word problem with an equation:

  1. Find the quantities you know.
  2. Decide how they are related: joining, separating, comparing, or finding a missing part.
  3. Use a question mark for the unknown.
  4. Make sure both sides of the equal sign show the same amount.

Example:
Liam has (36)(36) stickers. He wants (52)(52) stickers. How many more stickers does he need?

The known amounts are (36)(36) and (52)(52). The missing amount is the number of stickers needed to get from (36)(36) to (52)(52).

This is a missing-part problem, so we can write:

36+?=5236+?=52

The equation says that (36)(36) stickers plus the missing stickers equals (52)(52) stickers.

To find the missing number, count up from (36)(36) to (52)(52):

36+16=5236+16=52

So, the answer is:

16 stickers\boxed{16\text{ stickers}}

We could also represent the same relationship with subtraction:

52−36=1652-36=16

Both equations show that (16)(16) is the difference between (36)(36) and (52)(52).

Learn by doing: Represent a problem with an equation

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    Picture Numbers - Adding - Picture to Equation (Within 5)

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