Question

Jim writes down a large number. The number is 543 followed by 12 zeroes. How would Jim express this number in scientific notation? a. 5.43 × 10^14 b. 5.43 × 10^-12 c. 5.43E14 d. 5.43 × 10^12 e. 5.43E10 f. 5.43 × 10^10 f. 5.43E-12 g. 5.43E12

(its multiple choice)

Answer 1

C. 5.43×10¹⁴

Explanation:

Given the number 543 followed by 12zeros, this is written in figure as

543,000,000,000,000

To convert to scientific notation, first we will locate a decimal point at the end of the number as shown:

543,000,000,000,000.

Then we will shift the decimal point to the back until we reach the first digit of the number. Since the total number in the figure is equivalent to 15, it means the decimal point will be shifted to the back 14times.

This means that the power of 10 in out notation will be +14(because we move decimal backwards) ás shown:

543,000,000,000,000 = 5.43 × 10¹⁴

Answer 2

Scientific notation is of the form a
`a * 10^(b)`

Number written by Jim = 543000000000000

To find a, take the number and move a decimal place to the right one position.

Number given = 543000000000000

New number = 5.43000000000000

So decimal will be after 5.

Now to find b, count the number of decimals shifted from right to left.

b= 14

So scientific number of 543000000000000 =
`5.43 * 10^(14)`

So option A is the answer