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Write the following in order of size, starting with the smallest: 0.41 0.403 0.438 0.4374 - OCR - GCSE Maths - Question 6 - 2018 - Paper 1

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Write the following in order of size, starting with the smallest: 0.41 0.403 0.438 0.4374

Worked Solution & Example Answer:Write the following in order of size, starting with the smallest: 0.41 0.403 0.438 0.4374 - OCR - GCSE Maths - Question 6 - 2018 - Paper 1

Step 1

Identify the fractional parts

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Answer

To compare the numbers, first note the decimal places. The fractional parts are:

  • 0.41 (which is 410/1000)
  • 0.403 (which is 403/1000)
  • 0.438 (which is 438/1000)
  • 0.4374 (which is 4374/10000)

Step 2

Convert to comparable fractions

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Answer

Next, convert all numbers to have the same denominator for easier comparison:

  • 0.41 = 410/1000 = 4100/10000
  • 0.403 = 403/1000 = 4030/10000
  • 0.438 = 438/1000 = 4380/10000
  • 0.4374 = 4374/10000

Step 3

Order the numbers

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Answer

Now, we can compare the numerators:

  • 4030 (0.403)
  • 4100 (0.41)
  • 4374 (0.4374)
  • 4380 (0.438)

Thus, the numbers in order from smallest to largest are:

  • 0.403
  • 0.41
  • 0.4374
  • 0.438

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