Solve: Identifying the Redundant Term in 9:3+0:100

Which number can be replaced without changing the result of the exercise?

9:3+0:100= 9:3+0:100=

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1

Understand the problem

Which number can be replaced without changing the result of the exercise?

9:3+0:100= 9:3+0:100=

2

Step-by-step solution

To solve this problem, let's break down the expression step-by-step:

  • Step 1: Evaluate the division 9:39:3.
    This represents the division 9÷39 \div 3, which results in 33.
  • Step 2: Evaluate the expression 0:1000:100.
    Multiplication involving zero, 0×1000 \times 100, results in 00.
  • Step 3: Combine the results from Steps 1 and 2 using addition.
    We add the results from Step 1 and Step 2: 3+0=33 + 0 = 3.

Therefore, the expression 9:3+0:1009:3 + 0:100 simplifies to 33.

Next, we determine which number can be replaced without changing the result of the exercise:

  • The expression's result is unaffected by the term 0:1000:100, because multiplying by zero always gives zero, contributing nothing to the sum.
    Therefore, 100100 can be replaced without changing the overall result.

Comparing this analysis with the given choices, the correct answer is: 100100.

3

Final Answer

100

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\( 20:1= \)

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