Arrange −5, 7 , −2 and 1 in the ascending order of their magnitudes. Also, find the difference9 12 3 18between the largest and the smallest of these rational numbers. Express this difference as a decimal fractioncorrect to one decimal place.
Question
Arrange −5, 7 , −2 and 1 in the ascending order of their magnitudes. Also, find the difference9 12 3 18between the largest and the smallest of these rational numbers. Express this difference as a decimal fractioncorrect to one decimal place.
Solution
Step 1: Arrange the numbers in ascending order based on their magnitudes. The magnitude of a number is its absolute value, which is the number without its sign. So, we ignore the negative signs for now and just focus on the numbers themselves: 5, 7, 2, 1.
Step 2: When we arrange these in ascending order, we get: 1, 2, 5, 7.
Step 3: Now, we put the signs back in. So, the numbers in ascending order are: 1, -2, -5, 7.
Step 4: To find the difference between the largest and smallest number, we subtract the smallest number from the largest: 7 - 1 = 6.
Step 5: To express this difference as a decimal fraction correct to one decimal place, we simply write it as 6.0.
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