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Example: Find the mean of the following: 1, 2, 3, 4, 5
Step 1: Find the sum of all numbers → 1+2+3+4+5 = 15
Step 2: Divide total by the number of numbers → 15 ÷ 5 = 3
Example:
PQ ∥ RS
FALSE
TRUE
Example:
What are the factors of 82?
2
9
41
28
Example:
Common multiples of 2 and 3
6, 12, 18,...
2, 3, 6, ...
6, 9, 12, ...
Example:
LCM (least common multiple) of 3 and 6
3
6
9
Example: 1, __ , 3, 4, 5; mean=3
Step 1: Let N be the missing number.
Step 2: We know, Mean = (Sum of all numbers)/(Number of numbers);
Therefore, Sum of all numbers = Mean x Number of numbers
→ 1 + N + 3 + 4 + 5 = 3 x 5 → N + 13 = 15 → N = 15-13 → N = 2
Example: What is twice the radius?
chord
diameter
circumference
Example:
3:7
7
3
4
7
3
7
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:
2
6
+
1
2
1
6
2
3
5
6
Example: What is the coefficient of 2y?
Answer: 2
Note: Numerical coefficient is the numeral part in a term.
Example: 22
21
2
20