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IM 8.7.13 Practice: Definition of Scientific Notation

Write each number in scientific notation.

Perform the following calculations. Express your answers in scientific notation.

Jada is making a scale model of the solar system.

The distance from Earth to the Moon is about  miles. The distance from Earth to the Sun is about  miles. She decides to put Earth on one corner of her dresser and the Moon on another corner, about a foot away. Where should she put the sun?

  • On a windowsill in the same room?
  • In her kitchen, which is down the hallway?
  • A city block away?
Explain your reasoning.

Here is the graph for one equation in a system of equations.

Write a second equation for the system so it has infinitely many solutions.

Write a second equation whose graph goes through  so that the system has no solutions.

Write a second equation whose graph goes through  so that the system has one solution at .