Compare Decimals: Find the Missing Sign Between 10.04 and 10.40

Question

Fill in the missing sign:

10.04?10.40 10.04?10.40

Step-by-Step Solution

To solve this problem, we'll proceed as follows:

  • Step 1: Start by comparing the whole number part, which is the integer part before the decimal point. Both 10.0410.04 and 10.4010.40 have the integer part 1010.
  • Step 2: Since the integer parts are equal, move on to compare the digits immediately following the decimal point, which are in the tenths place.
  • Step 3: Observe that in the tenths place, 10.0410.04 has a 00 while 10.4010.40 has a 44.
  • Step 4: Since 0<40 < 4, we conclude that 10.04<10.4010.04 < 10.40.

Therefore, we fill in the missing sign as < < .

Comparing all the choices, choice (1), which is "<", correctly represents the relationship between the two numbers.

Answer

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