Compare Operations: Is 360÷360 Equal to 360×1?

Choose the correct sign (?):

360:360=?360×1 360:360\stackrel{?}{=}360\times1

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Step-by-step video solution

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00:00 Identify the correct mathematical sign
00:04 Any number divided by itself always equals 1
00:12 Any number multiplied by 1 always equals itself
00:24 This is the solution

Step-by-step written solution

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1

Understand the problem

Choose the correct sign (?):

360:360=?360×1 360:360\stackrel{?}{=}360\times1

2

Step-by-step solution

To solve this problem, we'll evaluate each expression and then compare the results:

  • Step 1: Compute 360÷360 360 \div 360 which simplifies to 1 1 because any non-zero number divided by itself equals 1 1 .
  • Step 2: Compute 360×1 360 \times 1 which simplifies to 360 360 because any number multiplied by 1 1 remains unchanged.

Now, we'll compare 1 1 and 360 360 :

- Since 1 1 is less than 360 360 , the correct sign to use is < \lt .

Thus, the correct expression is 360÷360<360×1 360 \div 360 \lt 360 \times 1 .

3

Final Answer

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\( 1\times1000= \)

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