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Example: Convert
4
3
to a mixed number
3)
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
1
3
Example: What is the coefficient of 2y?
Answer: 2
Note: Numerical coefficient is the numeral part in a term.
Example:
2
6
+
1
2
1
6
2
3
5
6
Example:
Common multiples of 2 and 3
6, 12, 18,...
2, 3, 6, ...
6, 9, 12, ...
Example:
4 . 4 . 4 = _____
34
43
82
Example:
PQ ∥ RS
FALSE
TRUE
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.
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.
Example:
line segment XY
line segment YX
line XY
Example:
What are the factors of 82?
2
9
41
28
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.
Example: 22
-21
22
23