Explore IDNLearn.com's extensive Q&A database and find the answers you need. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.

Activity
On the way home from visiting his family, Vincent's plane cruised at an altitude of 3.2 x 104 feet. He had heard that a man named Felix
Baumgartner skydived from an altitude of 1.28 x 10$ feet. Vincent wants to know how much higher Felix went on his skydiving trip.

write the cruising altitude of vincent’s plane in standard notation


Sagot :

Answer:

Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.

Convert the number to standard notation.

3.2 × 10^4 feet  

=

3.2 • 10,000 feet

=

32,000 feet

Step-by-step explanation:

This is the sample answer from Edmentum.

Answer:

Question 1 part a =

Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.

Convert the number to standard notation.

3.2 × 104 feet  

= 3.2 • 10,000 feet

= 32,000 feet

Part b =

Felix’s skydiving altitude is 1.28 × 105 feet.

Convert the number to standard notation.

1.28 × 105 feet  

= 1.28 • 100,000

= 128,000 feet

Part c =

Subtract the two altitudes to find the difference.

128,000 feet − 32,000 feet = 96,000 feet

The difference of their altitudes is 96,000 feet.

Part d =

The difference of the altitudes is 96,000 feet.

Covert 96,000 to scientific notation:

96,000 feet = 9.6 × 104 feet

Question 2 part a  =

Vincent’s plane’s altitude is 3.2 x 10^4 feet.

Felix’s skydiving altitude is 1.28 x 10^5 feet.

Transform 3.2 x 10^4  so its exponent matches the power of 10 in 1.28 x 10^5.

To do so, multiply and divide the number by 10.

3.2 x 10^4 = 10/10 x 3.2 x 10^4

                 = 3.2/10 x 10^4 x 10

                 = 0.32 x 10^5

Part b =

Calculate the difference of the two altitudes:

1.28 × 105 – 0.32 × 105

=  (1.28 – 0.32) • 105

= 0.96 • 105

The difference of their altitudes is 0.96 •105 feet.

Part c =

The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.

To convert the answer to scientific notation, multiply and divide the number by 10.

0.96 x 10^5 = 10/10 x 0.96 x 10^5

                   = (0.96 x 10) x (10^5 x 10^-1)

                   = 9.6 x 10^4 feet

In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.

Question 3 =

The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.

Step-by-step explanation:

Your answer is in bold. All edmentum answers :)

Hope this helps someone!

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.