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Solve multi-step mixed-operation problems

This understanding involves interpreting a two-step situation, identifying the quantities and relationships, and representing them with an equation, bar model, or related diagram using addition, subtraction, multiplication, or division with whole numbers. The solver determines which operation applies first based on the context, preserves the meaning of intermediate results, and checks whether the final answer is reasonable; formal order-of-operations rules, negative numbers, fractions, decimals, and more complex expressions are outside this scope.

Detailed Explanation: Solve multi-step mixed-operation problems

Read the problem and ask:

  1. What do I know?
  2. What must I find first?
  3. What happens to that result next?

The first answer is an intermediate result. Use it in the second step.

Example:
Maya has 44 bags of apples. Each bag has 66 apples. She gives 33 apples away. How many apples does she have left?

Step 1: Find the starting number of apples

There are 44 equal groups of 66, so multiply:

4×6=244 \times 6 = 24

Maya starts with (24)(24) apples.

Step 2: Take away the apples she gives away

She gives away 33 apples, so subtract:

24−3=2124 - 3 = 21

Answer

Maya has (21)(21) apples left.

The two-step equation is:

(4×6)−3=21(4 \times 6) - 3 = 21

Check: 44 groups of 66 make (24)(24), and taking away 33 should leave a number a little less than (24)(24). So (21)(21) is reasonable.

Learn by doing: Solve multi-step mixed-operation problems

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Competition Math - Grade 6


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