Question

Write down your answer to part (a) in the form a x 10^k where k ∈ ℤ.

a) Write your answer in the specified form.
b) Express your answer in standard notation.
c) Determine the value of 'a'.
d) Identify the form for the answer

Answer 1

The student needs to express numbers in scientific and standard notation, ensuring the coefficient (a) in a x 10^k is between 1 and 10 and to pay attention to significant figures and units.

Step-by-step explanation:

The student needs to express numbers in scientific notation and also in standard notation. The value of 'a' in the expression a x 10^k is the coefficient, and it's crucial that in scientific notation this coefficient is a number between 1 and 10. Here are some examples demonstrating the process:

• a. 7.11 × 10^-2 in standard notation is 0.0711.
• b. To rewrite 345.1 × 10^2 in proper scientific notation, the coefficient should be between 1 and 10. The correct expression is 3.451 × 10^4.
• c. When using a calculator to evaluate an expression like 456 × (7.4 × 10^8), ensure to express the final answer in scientific notation which would be 3.3744 × 10^11.

Remember to express your answers to the correct number of significant figures and in the correct units.