Now add the populations in scientific notation.

Rewrite each estimate so they all have the same power of 10.

Dogs: 69,900,000

Cats: 36,100,000

Birds: 8,300,000

Answer:

question 1 part a =

estimated number of dogs

=6.99 × 107

= 6.99 • 10,000,000

= 69,900,000

estimated number of cats

= 3.61 × 107

= 3.61 • 10,000,000

=36,100,000

estimated number of birds

= 8.3 × 106

= 8.3 • 1,000,000

= 8,300,000

part b = total population of pet dogs, cats, and birds  

= 69,900,000 + 36,100,000 + 8,300,000

= 114,300,000

question 2 part a =

The estimated number of dogs is 6.99 x 10^7 .

The estimated number of cats is 3.61 x 10^7.

The estimated number of birds is 8.3 x 10^6.

The power of  10 in  8.3 x 10^6  is 6, which is less than the power of 10 in the other two numbers. To make the calculation simpler, convert this number so the exponents are all the same.

Multiply and divide 8.3 x 10^6 by 10 to increase its exponent by 1:

8.3 x 10^6 = 10/10 x 8.3 x 10^6

                 = 8.3/10 x 10^6 x 10

                 = 0.83 x 10^7

part b =

total number of pet dogs, cats, and birds

=

6.99 × 107 + 3.61 × 107 + 0.87 × 107

=

(6.99 + 3.61 + 0.83) • 107

=

11.43 • 107

part c =

No. The sum from part B is not in scientific notation.

The total number of pet dogs, cats, and birds is 11,43 x 10^7. To express the number in scientific notation, the decimal point must be moved one digit to the left. To do that, divide and multiply the number by 10:

10/10 x 11.43 x 10^7 = 11.43/10 x 10^7 x 10

                                = 1.143 x 10^8

Written in scientific notation, the total number of pet dogs, cats, and birds is 1.143 x 10^8.

question c = They are the same. If you convert the number in standard form from question 1 to scientific notation, it is the same as the number in scientific notation found in question 2.

Step-by-step explanation:

Your answer is in bold. Edmentum answers

The Scientific Notation

Dogs: 6.99 x [tex]10^8[/tex]

Cats: 3.61 x [tex]10^8[/tex]

Birds:0.083  x [tex]10^8[/tex]

Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Also, the numbers in the millions place after the decimal required to be represented in a simpler format. As a result, representing a few integers in their expanded form is challenging. As a result, we employ scientific notation.

Given:

We have to change the number in  Scientific Notation in which only one significant number will be before the decimal and remaindering raise to power of 10.

First, Dogs: 69,900,000 whose Scientific Notation is

= 6.99 x [tex]10^8[/tex]

Second, Cats: 36,100,000 whose Scientific Notation is

= 3.61 x [tex]10^8[/tex]

Third, Birds: 8,300,000 whose Scientific Notation is

= 8.3 x [tex]10^6[/tex]

= 0.083  x [tex]10^8[/tex]

Learn more about Scientific Notation here:

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