Question

Write the number 35,841.7 in standard form.

a) 3.58417 x 10⁴
b) 35.8417 x 10³
c) 3584.17 x 10
d) 35841.7

Answer 1

The number 35,841.7 in standard form is written as 3.58417 x 10⁴ in scientific notation.

Step-by-step explanation:

The number 35,841.7 in standard form should be written as 3.58417 x 10⁴. In this format, the number is written as a product of a number between 1 and 10 and a power of ten. The decimal is moved 4 places to the left to put the number in scientific notation, which gives us the coefficient 3.58417, and we count the number of places moved as the power of ten, yielding 10 to the power of 4, or 10⁴.

Let's look at other examples of numbers converted to scientific notation:

• 123,456.78 can be written as 1.2345678 x 10⁵.
• 98,490 can be written as 9.849 x 10⁴.
• 0.000000445 can be written as 4.45 x 10⁻⁷.

To correctly write a number in scientific notation, you must ensure the coefficient is between 1 and 10, and then adjust the exponent on the power of ten accordingly.