Question

Find the order of magnitude of 1)3476 2)0.00421​

Answer 1

Answer:

3 and -3

Explanation:

1)3.476×10^3

so

oom=3

2)4.21×10^-3

so

oom=-3

Answer 2

Answer:

1) 4

2) -2

Explanation:

When a number is expressed in the form $x\times 10^n$ then the number n is the order of magnitude of the number. n lies in the interval $\frac{\sqrt{10}}{10}\leq m < \sqrt{10}$.

1) 3476

$3476=0.3476\times 10^4$

Order of magnitude = 4

2) 0.00421

$0.00421=0.421\times 10^{-2}$

Order of magnitude = -2