High School

A student has a mass of [tex]6.35 \times 10^1[/tex] kg. What number below is equivalent to the student's mass?

A. [tex]6.35 \times 10^{-2}[/tex] g
B. [tex]6.35 \times 10^4[/tex] g
C. 635 g
D. 215 lb

Answer :

Answer:

B. 6.35 x 10^4 g

Explanation:

Quantities such as mass have more than units that are interconvertible. Mass can be measured in kilograms (kg), grams (g), etc.

However, 1kg equals 1000grams

Hence, a measurement of 6.35 x 10^1 kg will be equivalent to grams (g) by multiplying by 1000units

That is, 6.35 × 10^1 × 1000

= 6.35 × 10^1 × 10^3

Multiplication in index means to add the powers

= 6.35 × 10^ (1+3)

= 6.35 × 10^4grams

Therefore, an equivalent measurement of 6.35×10^1 kg is 6.35×10^4 g.