Page 88 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

Overall expectation
B2. Powers
represent numbers in various ways, evaluate powers, and simplify expressions by using the relationships between powers and their exponents
Specific expectations
By the end of this course, students will:
B2.1 Powers
analyse, through the use of patterning, the relationship between the sign and size of an exponent and the value of a power, and use this relationship to express numbers in scientific notation and evaluate powers
Teacher supports
Examples
• relationship between exponent of a power and the value of the power:
o patterns can be used to represent relationships among numbers expressed as powers
▪ as illustrated in the chart below, when the size of an exponent decreases by 1, the value of the power is divided by the base, in this case, 2:
Expands to 2^3 2 x 2 x 2
4 2^1 2 2
Power
Value 8
2^2 2 x 2
2^0
2^-1
2^-2 1/2 x 2
2/2 1/2
1 1/2 1/4
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