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Example: Convert to a mixed number
4
3
3) = 1
4
= 1 with remainder of 1. The answer is the whole number part, the remainder is the numerator part, and the denominator is the same as the improper fraction.
Therefore, 4
3
1
3
Example:
2
6
+
1
2
1
6
2
3
5
6
Example: Find the median of the following: 1, 2, 1, 5, 5
Step 1: Sort the list → 1, 1, 2, 5, 5
Step 2: Count of numbers listed → 5 (odd)
Step 3: So the middle number is (count+1)/2 → (5+1)/2 → 3rd number. Therefore, the median is 2.
Step 1: Sort the list → 1, 1, 2, 5, 5
Step 2: Count of numbers listed → 5 (odd)
Step 3: So the middle number is (count+1)/2 → (5+1)/2 → 3rd number. Therefore, the median is 2.
Example: Find the mode of the following: 1, 2, 4, 5, 5
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Find the number that is repeated the most number of times.
Step 3: In the above list, 5 is repeated twice and all the other numbers occur only once. Therefore, the mode is 5.
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Find the number that is repeated the most number of times.
Step 3: In the above list, 5 is repeated twice and all the other numbers occur only once. Therefore, the mode is 5.
Example: What is 3.6 rounded to the nearest whole number?
4
Example: Find the range of the following: 1, 2, 4, 5, 5
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Highest number → 5; Lowest number → 1
Step 3: Difference between the highest and the lowest numbers in the list → 5 - 1 = 4. Therefore, the range is 4.
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Highest number → 5; Lowest number → 1
Step 3: Difference between the highest and the lowest numbers in the list → 5 - 1 = 4. Therefore, the range is 4.
Example:
1)
5
6
2
1
3
2)
2
6
1
10
12
Example:
1
2
3
4
>
=
<
Example:
132,235,348 ___ 321,564,432
>
=
<
699,972,854 ___ 666,354,786
more than
equal to
less than
Example: What is 5346050 rounded to the nearest million?
5000000
Example: Rails in a railway track
perpendicular
parallel
Example: What is 0.526 rounded to the nearest hundredths?
0.53
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