Question

The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation

Answer 1

Answer:

4.951*10^6 m^2

Step-by-step explanation:

scientific notation: 1 place followed by decimal point, followed by relevant decimal

all to relevant order of 10 (in this case the decimal point was moved to the left 6 places therefore *10^6 is appropriate)

Answer 2

The number 4,951,000 is written in scientific form as $4.951 \times 10^6$

How does scientific notations work?

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

• Better readability due to compact representation
• Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number 4,951,000 is converted to scientific notation as:

$4951000 = 4951 \times 1000 = 4.951 \times 1000000 = 4.951 \times 10^6$

Thus, the number 4,951,000 is written in scientific form as $4.951 \times 10^6$

Learn more about scientific notations here:

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