Question

The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate total population of these two states?
A.
40.646 × 107
B.
40.646 × 106
C.
6.410 × 107
D.
6.410 × 1014

Answer 1

Answer:

The total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

Step-by-step explanation:

• The population of California is approximately 38,040,000.

• The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000  in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right  side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

$3.804\times \:10^7+2.606\times \:10^7$

$\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41$

Thus, the total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.