219k views
3 votes
PLS HELP ME IDK WHAT TO DO AND IDK HOW TO UNDERSTAND IT

PLS HELP ME IDK WHAT TO DO AND IDK HOW TO UNDERSTAND IT-example-1
User Mlimper
by
6.5k points

2 Answers

5 votes

Hello there, to answer your question...

1. Earth's moon

Scientific notation: 7.35×10²² kg

Standard notation:

73,500,000,000,000,000,000,000 kg

2. Mercury

Scientific notation: 3.30×10²³ kg

Standard notation:

330,100,000,000,000,000,000,000 kg

3. Venus

Scientific notation: 4.867×10²⁴ kg

Standard notation:

4,870,000,000,000,000,000,000,000 kg

4. Jupiter

Scientific notation:

Standard notation

1,900,000,000,000,000,000,000,000,000 kg

5. Saturn

Scientific notation (rounded): 5.69×10²⁶ kg

Standard notation:

569,000,000,000,000,000,000,000,000 kg

6. Uranus

Scientific notation: 8.68×10²⁵ kg

Standard notation:

86,800,000,000,000,000,000,000,000 kg

7. Neptune

Scientific notation: 1.02×10²⁶

Standard notation:

102,000,000,000,000,000,000,000,000kg

8. Phobos

Scientific notation: 1.07×10¹⁶ kg

Standard notation:

10,700,000,000,000,000kg

9. Ariel

Scientific notation: 1.25×10²¹kg

Standard notation:

1,250,000,000,000,000,000,000kg

10. Titam

Scientific notation: 1.35×10²³ kg

Standard notation:

135,000,000,000,000,000,000,000kg

Step-by-step explanation:

The purpose of this exercise is to familiarize yourself with the handling of large numbers using scientific notation.

Standard notation is the numbers written as we know them usually. For instance,

2,

760,000

0.546

5,321,897.23

Scientific notation displays the numbers in exponential using powers of tens. The number is written with two parts, the mantissa and the power.

The number is in the form A × 10ⁿ, where the mantissa, A, has to be between 1 and less than 10:

1 ≤ A < 10.

Scientific notation is used to work with very large or very small numbers.

For instance:

1.03 × 10⁻⁹

8.5 × 10²¹

The masses of the planets and moons are reported in kilograms (kg) using scientific notation because they are very large numbers.

You can find the masses of planets and moons in the internet in scientific notation. Then you can convert to standard notation.

1. Earth's moon

Reported in internet: 7.346×10²² kg

Since the first factor must show until the hundredths place, round the mantissa to 7.35:

Scientific notation: 7.35×10²² kg

To pass to standard notation, you mutiply the mantissa by 10 followed by 22 zeros, which is moving the decimal point to the right 22 places.

Standard notation: 73,500,000,000,000,000,000,000 kg

2. Mercury

Reported in internet: 3.301×10²³ kg

Round to 3.301 to 3.30

Move the decimal point 23 places to the right.

Scientific notation: 3.30×10²³ kg

To pass to standard notation move the decimal point to the right 23 places:

Standard notation: 330,100,000,000,000,000,000,000 kg

3. Venus

Scienfitic notation:

From internet: 4.867×10²⁴ kg

Rounded: 4.87×10²⁴ kg

Move the decimal point 24 places to the right.

Standard notation: 4,870,000,000,000,000,000,000,000 kg

4. Jupiter

Scientific notation:

From internet: 1.899×10²⁷ kg

Rounded: 1.90×10²⁷ kg

Standard notation (move the decimal point 27 places to the right)

1,900,000,000,000,000,000,000,000,000 kg

5. Saturn

From internet: 5.685×10²⁶ kg

Scientific notation (rounded): 5.69×10²⁶ kg

Move the decimal point 26 places to the right.

Standard notation: 569,000,000,000,000,000,000,000,000 kg

6. Uranus

From internet: 8.682×10²⁵ kg

Scientific notation (rounded): 8.68×10²⁵ kg

Move the decimal point 25 places to the right:

Standard notation: 86,800,000,000,000,000,000,000,000 kg

7. Neptune

From internet: 1.024×10²⁶ kg

Scientific: 1.02×10²⁶

Move the decimal point 26 places to the right:

Standard notation: 102,000,000,000,000,000,000,000,000kg

8. Phobos

From internet: 1.0659×10¹⁶ kg

Round:

Scientific notation: 1.07×10¹⁶ kg

Move the decimal point 16 places to the right:

Standard notation: 10,700,000,000,000,000kg

9. Ariel

From internet: 1.251×10²¹ kg

Round:

Scientific notation: 1.25×10²¹kg

Move the decimal point 21 places to the right:

Standard notation: 1,250,000,000,000,000,000,000kg

10. Titam

From internet: 1.3452×10²³ kg

Round:

Scientific notation: 1.35×10²³ kg

Move the decimal point 23 places to the right:

Standard notation: 135,000,000,000,000,000,000,000kg

User Mecalito
by
7.9k points
1 vote

Answer:

1. Earth's moon

  • Scientific notation: 7.35×10²² kg
  • Standard notation:

73,500,000,000,000,000,000,000 kg

2. Mercury

  • Scientific notation: 3.30×10²³ kg
  • Standard notation:

330,100,000,000,000,000,000,000 kg

3. Venus

  • Scientific notation: 4.867×10²⁴ kg
  • Standard notation:

4,870,000,000,000,000,000,000,000 kg

4. Jupiter

  • Scientific notation:
  • Standard notation

1,900,000,000,000,000,000,000,000,000 kg

5. Saturn

  • Scientific notation (rounded): 5.69×10²⁶ kg
  • Standard notation:

569,000,000,000,000,000,000,000,000 kg

6. Uranus

  • Scientific notation: 8.68×10²⁵ kg
  • Standard notation:

86,800,000,000,000,000,000,000,000 kg

7. Neptune

  • Scientific notation: 1.02×10²⁶
  • Standard notation:

102,000,000,000,000,000,000,000,000kg

8. Phobos

  • Scientific notation: 1.07×10¹⁶ kg
  • Standard notation:

10,700,000,000,000,000kg

9. Ariel

  • Scientific notation: 1.25×10²¹kg
  • Standard notation:

1,250,000,000,000,000,000,000kg

10. Titam

  • Scientific notation: 1.35×10²³ kg
  • Standard notation:

135,000,000,000,000,000,000,000kg

Step-by-step explanation:

The purpose of this exercise is to familiarize yourself with the handling of large numbers using scientific notation.

Standard notation is the numbers written as we know them usually. For instance,

  • 2,
  • 760,000
  • 0.546
  • 5,321,897.23

Scientific notation displays the numbers in exponential using powers of tens. The number is written with two parts, the mantissa and the power.

The number is in the form A × 10ⁿ, where the mantissa, A, has to be between 1 and less than 10:

  • 1 ≤ A < 10.

Scientific notation is used to work with very large or very small numbers.

For instance:

  • 1.03 × 10⁻⁹
  • 8.5 × 10²¹

The masses of the planets and moons are reported in kilograms (kg) using scientific notation because they are very large numbers.

You can find the masses of planets and moons in the internet in scientific notation. Then you can convert to standard notation.

1. Earth's moon

  • Reported in internet: 7.346×10²² kg

Since the first factor must show until the hundredths place, round the mantissa to 7.35:

  • Scientific notation: 7.35×10²² kg

To pass to standard notation, you mutiply the mantissa by 10 followed by 22 zeros, which is moving the decimal point to the right 22 places.

  • Standard notation: 73,500,000,000,000,000,000,000 kg

2. Mercury

  • Reported in internet: 3.301×10²³ kg

Round to 3.301 to 3.30

Move the decimal point 23 places to the right.

  • Scientific notation: 3.30×10²³ kg

To pass to standard notation move the decimal point to the right 23 places:

  • Standard notation: 330,100,000,000,000,000,000,000 kg

3. Venus

Scienfitic notation:

  • From internet: 4.867×10²⁴ kg

  • Rounded: 4.87×10²⁴ kg

Move the decimal point 24 places to the right.

  • Standard notation: 4,870,000,000,000,000,000,000,000 kg

4. Jupiter

Scientific notation:

  • From internet: 1.899×10²⁷ kg
  • Rounded: 1.90×10²⁷ kg

Standard notation (move the decimal point 27 places to the right)

  • 1,900,000,000,000,000,000,000,000,000 kg

5. Saturn

From internet: 5.685×10²⁶ kg

  • Scientific notation (rounded): 5.69×10²⁶ kg

Move the decimal point 26 places to the right.

  • Standard notation: 569,000,000,000,000,000,000,000,000 kg

6. Uranus

From internet: 8.682×10²⁵ kg

  • Scientific notation (rounded): 8.68×10²⁵ kg

Move the decimal point 25 places to the right:

  • Standard notation: 86,800,000,000,000,000,000,000,000 kg

7. Neptune

From internet: 1.024×10²⁶ kg

  • Scientific: 1.02×10²⁶

Move the decimal point 26 places to the right:

  • Standard notation: 102,000,000,000,000,000,000,000,000kg

8. Phobos

From internet: 1.0659×10¹⁶ kg

Round:

  • Scientific notation: 1.07×10¹⁶ kg

Move the decimal point 16 places to the right:

  • Standard notation: 10,700,000,000,000,000kg

9. Ariel

From internet: 1.251×10²¹ kg

Round:

  • Scientific notation: 1.25×10²¹kg

Move the decimal point 21 places to the right:

  • Standard notation: 1,250,000,000,000,000,000,000kg

10. Titam

From internet: 1.3452×10²³ kg

Round:

  • Scientific notation: 1.35×10²³ kg

Move the decimal point 23 places to the right:

  • Standard notation: 135,000,000,000,000,000,000,000kg
User Alturkovic
by
6.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.