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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!

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