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6.
7.
8.
c) Convert the weight in gram and express it in scientific notation
The blue whale is the largest animal on the earth. The
weight of an adult blue whale is about 199 metric tons
(1 metric ton = 1000 kg)
a) Write the weight of blue whale in grams.
b) Express the weight in grams in scientific notation of
number.
Lactobacillus bacteria are useful for converting milk into card. The anes
length of this type of bacteria is about 5 x 10 metre.
a) Express the length of bacteria in decimal of metres (m).
b) Rewrite the length in centrimeters (cm) and millimetres (mm).
The radius of the earth is 6.371 x 103 km.
a) Express this scientific notation in decimal system of numeration.
15
b) Convert this scientific notation in metre and express in decimal system d
numeration.
9.
The distance between the sun and the earth is bout 143000000 km
a) Express this distance in scientific notation.



Answer :

GinnyAnswer
Sure, let's tackle each part of the question step-by-step:

### Part 6: Weight of a Blue Whale
An adult blue whale weighs about 199 metric tons.

#### a) Write the weight of the blue whale in grams:
1 metric ton is equivalent to 1000 kg, and 1 kg is equivalent to 1000 grams.
So,
[tex]\[ \text{Weight in kilograms} = 199 \text{ metric tons} \times 1000 \text{ kg/metric ton} = 199000 \text{ kg} \][/tex]
[tex]\[ \text{Weight in grams} = 199000 \text{ kg} \times 1000 \text{ g/kg} = 199000000 \text{ g} \][/tex]

#### b) Express the weight in grams in scientific notation:
The weight in grams is [tex]\( 199,000,000 \)[/tex].
In scientific notation:
[tex]\[ 199,000,000 \text{ g} = 1.99 \times 10^8 \text{ g} \][/tex]

### Part 7: Length of Lactobacillus Bacteria
The length of Lactobacillus bacteria is given as [tex]\( 5 \times 10^{-6} \)[/tex] meters.

#### a) Express the length of bacteria in decimal meters (m):
[tex]\[ 5 \times 10^{-6} \text{ m} = 0.000005 \text{ m} \][/tex]

#### b) Rewrite the length in centimeters (cm) and millimeters (mm):
1 meter = 100 centimeters
[tex]\[ 0.000005 \text{ m} \times 100 \text{ cm/m} = 0.0005 \text{ cm} \][/tex]

1 meter = 1000 millimeters
[tex]\[ 0.000005 \text{ m} \times 1000 \text{ mm/m} = 0.005 \text{ mm} \][/tex]

### Part 8: Radius of the Earth
The radius of the earth is given as [tex]\( 6.371 \times 10^3 \)[/tex] kilometers.

#### a) Express this scientific notation in the decimal system of numeration:
[tex]\[ 6.371 \times 10^3 \text{ km} = 6371 \text{ km} \][/tex]

#### b) Convert this scientific notation into meters and express it in the decimal system of numeration:
1 kilometer = 1000 meters
[tex]\[ 6371 \text{ km} \times 1000 \text{ m/km} = 6,371,000 \text{ m} \][/tex]

### Part 9: Distance Between the Sun and the Earth
The distance between the sun and the earth is about 143,000,000 kilometers.

#### a) Express this distance in scientific notation:
[tex]\[ 143,000,000 \text{ km} = 1.43 \times 10^8 \text{ km} \][/tex]

By following these steps, we can comprehensively address each part of the given problem.

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