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What is the solution to (3 × 10^2) x (5 × 10^5), written in scientific notation?

A.1.5 × 10^8
B.15 × 10^8
C.1.5 × 10^7
D.15 × 10^7


ben spent 2/3 of his allowance on video games. what is the fraction of his allowance expressed as a decimal.
A.0.6
B.0.7
C.0.16
D.0.17

My answers
B
A

User Aytunch
by
7.7k points

1 Answer

3 votes

Answer:

1 - Option A is correct i,e
1.5 * 10^8

2- Option A is correct, 0.6

Explanation:

Given:
(3 * 10^2) * (5 * 10^5)

You have to do the following steps to get the answer:

  • First multiply the two coefficients.
  • Next, multiply the two powers of ten by adding their exponents.
  • then, finally, combine your two answers and convert to scientific notation.


(3 * 10^2) * (5 * 10^5)

Apply the following steps;


(3 * 5) * ( 10^2 * 10^5)


(15) * ( 10^(2+5))


(15) * ( 10^7)

Convert to scientific notation as;


1.5 * 10^8

Therefore, the solution to
(3 * 10^2) * (5 * 10^5) is,
1.5 * 10^8

Given the statement: Ben spent 2/3 of his allowance on video games.

To find the fraction of his allowance as a decimal.

Convert a fraction number into decimal.


(2)/(3)

Multiply top and bottom by 33 ;


(2 * 33)/(3 * 33)= (66)/(99)

Now, 99 is nearly 100, so let us write down 66 with the decimal point 2 spaces from the right (because 100 has 2 zeros) i.e,

0.66 (accurate to only 2 places)

Therefore, fraction number
(2)/(3) of his allowance expressed as a decimal is, 0.6


User Lurscher
by
8.2k points

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