1 <= a < 10 — Scientific notation requires exactly one non-zero digit before the decimal point, so 1 <= a < 10.

4.5 x 10^4 — Moving the decimal point 4 places left gives 4.5, so 45000 = 4.5 x 10^4.

Question 1

Calculate $2^{4}$.

Accepted Answer

16 — 2x2x2x2=16.

Question 2

In scientific notation $a 	imes 10^{n}$, what range must $a$ fall in?

Accepted Answer

1 <= a < 10 — Scientific notation requires exactly one non-zero digit before the decimal point, so 1 <= a < 10.

Question 3

Write $45000$ in scientific notation.

Accepted Answer

4.5 x 10^4 — Moving the decimal point 4 places left gives 4.5, so 45000 = 4.5 x 10^4.

Exponents

Sample practice questions