scientific-notation-mathhelpcom-pre-algebra-help

For a complete lesson on scientific notation, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson!

In this lesson, students learn that a number is in scientific notation if it composed of a whole number or decimal between 1 and 10, times a power of ten. For example, 4.13 x 10^8 is in scientific notation. To convert a number from scientific notation to standard notation, note that a positive exponent means that the decimal point is moved to the right, and a negative exponent means that the decimal point is moved to the left. For example, to convert 4.13 x 10^8 to standard notation, since the exponent is positive 8, move the decimal 8 places to the right, to get 413,000,000.

To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point, so here we have 6.42000. (Notice that there now is only one digit to the left of the decimal point.) Next, count the number of places that we would need to move the decimal point in order to get back to the original number, 642,000. Since we would need to move the decimal point 5 places to the right to get back to the original number, 642,000, we would need to multiply 6.42000 times 10 to the 5th power. Notice that our exponent is positive. That's because we needed to move the exponent to the right to get back to the original number. So 642,000 can be written in scientific notation as 6.42000 times 10 to the 5th power, or 6.42 times 10 to the 5th power. Remember that we can drop any zeros at the end of the decimal.

Tagged under: Scientific,Notation,Convert,standard,notation,solve,conversion,math,practice,problems

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!