Question

for the second question the options are: 71034, 71034000, 710.34 and 7013.4

Answer 1

Answer:

$0.0005$ $= 5 * 10^{-4$

$7.1034 * 10^3 = 7103.4$

Step-by-step explanation:

Solving (a):

$0.0005$

Standard form is represented as:

$a * 10^n$ where $1 \le a \le 10$

Move the decimal point to 5 and count the number of times the decimal point is moved forward (forward represents negative).

So:

$a = 5$

$n = -4$

Hence:

$0.0005$ $= 5 * 10^{-4$

Solving (b):

$7.1034 * 10^3$

Express $10^3$ as $1000$

This gives:

$7.1034 * 10^3 = 7.1034 * 1000$

$7.1034 * 10^3 = 7103.4$