Question

Which of the following is the standard form of 12700?

1 point

a)12.7 X 10^4

b)1.27 X 10^4

c)1270 X 10

d) 127 X 10^3

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Answer 1

Answer:

When working with very large or very small numbers, scientists, mathematicians, and engineers often use scientific notation to express those quantities. Scientific notation uses exponential notation. The following are examples of scientific notation.

 

Light year: number of miles light travels in one year, about 5,880,000,000,000

           Scientific notation is 5.88 x 1012 miles.

 

hydrogen atom: has a diameter of about 0.00000005 mm

Scientific notation is 5 x 10-8 mm

 

Computation with very large numbers is made easier with scientific notation.

Step-by-step explanation:

Answer 2

The standard form of 12700 = 1.27 × 10⁴

Given :

The number 12700

To find :

To standard form of 12700 is

a) 12.7 × 10⁴

b) 1.27 × 10⁴

c) 1270 × 10

d) 127 × 10³

Concept :

For any given number Standard form is a way to express the number .

It is generally used to express a large or a small number

The standard form of any given number is

$\sf = m\times {10}^{n}$

Where m is a number such that 1 ≤ m < 10 and n is the exponent of 10

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is 12700

Step 2 of 2 :

Express in standard form

$\displaystyle \sf{12700 }$

$\displaystyle \sf{ =127 \times 100 }$

$\displaystyle \sf{ =127 \times {10}^{2} }$

$\displaystyle \sf{ =1.27 \times 100 \times {10}^{2} }$

$\displaystyle \sf{ =1.27 \times {10}^{2} \times {10}^{2} }$

$\displaystyle \sf{ =1.27 \times {10}^{2 + 2} }$

$\displaystyle \sf{ =1.27 \times {10}^{4} }$

Hence the correct option is 1.27 × 10⁴