Question

Using scientific notation, convert: 5.29 km to m 1.21 ns to s 2.50 cm to m 5.58 ug to g

Answer 1

Answer: a) 5.29 km =
`5.29* 10^3m`

b) 1.29 ns =
`1.29* 10^(-9)s`

c) 2.50 cm=
`2.50* 10^(-2)m`

c)
`5.58\mu g=5.58* 10^(-6)g`

Step-by-step explanation:

Scientific notation : It is defined as the method or a way or representation of expressing the given number which are too big or too small that is written in the decimal form. That means, it always written in the power of 10 form.

8000 is written as,
`8* 10^3`

a) 1 km = 1000 m

5.29 km =
`(1000)/(1)* 5.29=5.29* 10^3m`

b) 1 ns =
`10^(-9)s`

1.29 ns =
`(10^(-9))/(1)* 1.29=1.29* 10^(-9)s`

c)
`1cm=10^(-2)m`

2.50 cm=
`(10^(-2))/(1)* 2.50cm=2.50* 10^(-2)m`

d)
`1\mu g=10^(-6)g`

`5.58\mu g=(10^(-6)g)/(1)* 5.58=5.58* 10^(-6)g`

Answer 2

5,29 km = 5,29*10^3 m

1,21 ns = 1,21*10^-9 s

2,50cm=2,50*10^-2 m

5,58 μg = 5,58*10^-6 g

Step-by-step explanation:

To solve the problem, we use prefixes of the SI:

Name - Symbol - Factor

kilo - k - 10^3

hecto - h - 10^2

deca - da - 10^1

BASIC UNIT

deci - d - 10^-1

centi - c - 10^-2

mili - m - 10^-3

micro - μ - 10^-6

nano - n - 10^-9

To convert the measurements we just change the prefix by its factor and multiply it by the value we want to convert:

5,29 km = 5,29*10^3 m

1,21 ns = 1,21*10^-9 s

2,50cm=2,50*10^-2 m

5,58 μg = 5,58*10^-6 g