Answered

6.
kilograms (kg)
b) Express the weight in kilograms in scientific
notation of number.
c) Convert the weight in gram and express it in scientific not
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.

Verified Answer :

GinnyAnswer

Sure, let's solve the problem step-by-step.

Given:
- The weight of an adult blue whale is about 199 metric tons.
- 1 metric ton = 1000 kilograms (kg).

### Part (a)
Write the weight of the blue whale in kilograms.

Step:
1. Convert the weight from metric tons to kilograms.
2. Since 1 metric ton = 1000 kg, multiply the weight in metric tons by 1000.

Calculation:
\(\[ \text{Weight in kilograms} = 199 \text{ metric tons} \times 1000 \text{ kg/metric ton} = 199,000 \text{ kg} \]\)

So, the weight of the blue whale in kilograms is 199,000 kg.

### Part (b)
Express the weight in kilograms in scientific notation.

Step:
1. Convert 199,000 kg to scientific notation.
2. Scientific notation is of the form \(\( a \times 10^b \)\), where \(\( 1 \leq a < 10 \)\) and \(\( b \)\) is an integer.

Calculation:
\(\[ 199,000 \text{ kg} = 1.99 \times 10^5 \text{ kg} \]\)

So, the weight in kilograms in scientific notation is \(\( 1.99 \times 10^5 \)\) kg.

### Part (c)
Convert the weight to grams and express it in scientific notation.

Step:
1. Convert the weight from kilograms to grams.
2. Since 1 kilogram = 1000 grams, multiply the weight in kilograms by 1000.
3. Then, convert the weight in grams to scientific notation.

Calculation:
\(\[ \text{Weight in grams} = 199,000 \text{ kg} \times 1000 \text{ g/kg} = 199,000,000 \text{ g} \]\)

Now, express 199,000,000 grams in scientific notation:
\(\[ 199,000,000 \text{ g} = 1.99 \times 10^8 \text{ g} \]\)

So, the weight in grams is \(\( 1.99 \times 10^8 \)\) g.

### Summary:
1. The weight of the blue whale in kilograms is 199,000 kg.
2. The weight in kilograms in scientific notation is \(\( 1.99 \times 10^5 \)\) kg.
3. The weight in grams is \(\( 1.99 \times 10^8 \)\) g.

Related Questions