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
Question 6
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: