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Example:
Reduce 2:10 to its lowest terms
1:5
2:5
8:10
Example:
What is the greatest common factor of 15 and 33?
Factors of 15 → 1, 3, 5, 15
Factors of 33 → 1, 3, 11, 33
Common Factors → 1, 3
Greatest Common Factors → 3
Example: 22 -22
>
=
<
Example:
What are the factors of 82?
2
9
41
28
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
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:
If 2n = 8, then n = ?
8
3
2
Example:
line segment XY
line segment YX
line XY
Example: 23 =
8
Example: What is the coefficient of 2y?
Answer: 2
Note: Numerical coefficient is the numeral part in a term.
Answer: 2
Note: Numerical coefficient is the numeral part in a term.
Example: 22
-21
22
23
Example: What is the area of a circle whose diameter is 10 cm?
Given: Diameter(d) = 10cm; So, Radius(r) = Diameter/2 = 10/2 = 5cm
Area of a circle: πr2 = π x 52 = π x 25 = 25π sq cm
Given: Diameter(d) = 10cm; So, Radius(r) = Diameter/2 = 10/2 = 5cm
Area of a circle: πr2 = π x 52 = π x 25 = 25π sq cm
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.
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