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------------------------------------------------ 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]$7 \times 10^{-5} g$[/tex].

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

Certainly! Let's break down the solution step-by-step:

### Part (a)
1. Converting kilograms to grams:
- We know that 1 kilogram (kg) is equal to 1000 grams (g).
- So, to convert 6300 kg to grams, you multiply 6300 by 1000.
- Calculation: [tex]$ 6300 \times 1000 = 6300000 $[/tex] grams.

2. Expressing the answer in standard form:
- The number 6300000 can be written in standard form as [tex]$ 6.3 \times 10^6 $[/tex].

So, 6300 kg is equal to [tex]$ 6.3 \times 10^6 $[/tex] grams.

### Part (b)
1. Weight of one grain of sand:
- One grain of sand weighs approximately [tex]$ 7 \times 10^{-5} $[/tex] grams.

2. Finding the number of grains:
- To find out how many grains of sand are in 6300000 grams, you divide the total weight in grams by the weight of one grain.
- Calculation: [tex]$ \frac{6300000}{7 \times 10^{-5}} $[/tex]

3. Solving the division:
- When you divide these numbers, the result is approximately 90000000000.00002.
- This number can be expressed in standard form as [tex]$ 9.00 \times 10^{10} $[/tex].

Thus, there are approximately [tex]$ 9.00 \times 10^{10} $[/tex] grains of sand in 6300 kg.