High School

A bricklayer needs to order 6300 kg of building sand.

a) Write 6300 kg in grams, giving your answer in standard form.

One grain of this sand approximately weighs [tex]7 \times 10^{-3} \text{g}[/tex].

b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard form.

Answer :

The standard form of 6300 kg in grams is 0.63 x [tex]10^7[/tex] g.

There are 90000 grains in 6300 kg of sand.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

We have,

6300 kg

Now,

1 kg = 1000 g

So,

6300 kg = 6300 x 1000 g

6300 kg = 63 x [tex]10^5[/tex] g

6300 kg = 0.63 x [tex]10^7[/tex] g

Now,

One grain = 7 x 10 g

So,

Number of grains in 0.63 x [tex]10^7[/tex] g.

= 0.63 x [tex]10^7[/tex] ÷ 7 x 10

= 90000

Thus,

0.63 x [tex]10^7[/tex] g is the standard form.

90000 grains.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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