Standard Form and Exponent Laws

Question 1

What is standard form?

Answer 1

Standard form refers to the way we should represent very large or very small numbers. A number written in standard form is:

- A number between 1 and 10
    - AND a power of 10, or ORDER OF MAGNITUDE

Question 2

What does A refer to in A × 10^n?

Answer 2

Integer/Decimal between 1 and 10

Question 3

What does n refer to in A × 10^n?

Answer 3

Positive or negative integer that forms the order of magnitude

Question 4

What is (6.4 × 10^2 ) × (3.8 × 10^4 ) = 24,320,000 when written in standard form?

Answer 4

2.432 × 10^7

Question 5

What is 0.001829 written in standard form?

Answer 5

1.829 × 10^−3

Question 6

What is the exponent/power/index law on multiplication with regard to exponents?

Answer 6

ADD exponents together with like terms

Question 7

What is the exponent/power/index law on division with regard to exponents?

Answer 7

SUBTRACT exponents with like terms

Question 8

What is the exponent/power/index law on powers of a power with regard to exponents?

Answer 8

MULTIPLY exponents within