Gr 8 (Exponents)

Exponents:

• Comparison and representation: Compare and represent whole numbers, integers, and numbers in scientific notation using exponential form.

• Laws of exponents: Establish and use the general laws of exponents to perform calculations involving exponents and square/cube roots.

• Calculations: Perform calculations involving all four operations with numbers in exponential form, including squares, cubes, and roots.

• Problem-solving: Solve problems in contexts involving numbers in exponential form.

EXPONENTS

Comparing and representing numbers in exponential form

• Revise compare and represent whole numbers in exponential form

• Compare and represent integers in exponential form

• Compare and represent numbers in scientific notation, limited to positive exponents

Calculations using numbers in exponential form

• Establish general laws of exponents

• Recognise and use the appropriate laws of operations using numbers involving exponents and square and cube roots

• Perform calculations involving all four operations with numbers that involve squares, cubes, square and cube roots of integers

• Calculate the squares, cubes, square and cube roots of rational numbers

Solving problems

• Solve problems in contexts involving numbers in exponential form

• Compare and represent whole numbers in exponential form: a^b=a×a×a×… for b number of factors

• Recognise and use the appropriate laws of operations with numbers involving exponents and square and cube roots

• Perform calculations involving all four operations using numbers in exponential form, limited to exponents up to 5, and square and cube roots

• Solve problems in contexts involving numbers in exponential form