Scientific Notation

We are learning to…write numbers greater than or equal to one in scientific notation.

Wednesday, April 19, 2023

Where will I ever see Scientific Notation?

In your science textbook you read the following:

“The speed of light is 5.89248 × 1010 feet per minute.”

What does this mean? Is that really fast or really slow?

Find the following solutions…As you’re working can you find a pattern?

41.5268 × 100 =

41.5268 × 101 =

41.5268 × 102 =

41.5268 × 103 =

41.5268 × 104 =

41.5268 × 105 =

41.5268 × 1 =

41.5268 × 10 =

41.5268 × 100 =

41.5268 × 1,000 =

41.5268 × 10,000 =

41.5268 × 100,000 =

41.5268

415.268

4,152.68

41,526.8

415,268.

4,152,680.

Do you see any trends in how these products are increasing?

Can you make rule describing how to multiply by a power of 10? Rule: The exponent tells us how many places to

move the decimal point (to the right). For example:

7.639 × 107 means 7.639 × 10,000,000OR just think:Move the decimal 7 places to the right!

76390000000 = 76,390,000(Remember that: 7.639 =

7.63900000000000…)

.

Where do you find a decimal point for a whole number?

To the right of the one’s digit. (All the way at the end of the number)

So 38 is really: 38.0000000000000000000…

Practice multiplying by a Power of 10:

a. 3.23 × 103 = ________________

b. 436 × 105 = ________________

c. 4.565 × 108 = ________________

d. 8 × 102 = ________________

e. 0.393 × 103 = ________________

f. 0.0034 × 109 = ________________

3,230

43,600,000

456,500,000

800

393

3,400,000

What is scientific notation?

Method for writing really big numbers so that they are easier to read.

Often used in science books and other scientific journals.

The product of two numbers: A number greater than or equal to 1 but less

than 10. And a power of 10.

In general numbers in Scientific Notation will look like: (1 – 10) × 10?

Think of Scientific Notation as if…

You are given the solution and you have to think of the multiplication problem using a power of 10 that would give you that particular product.

Practice: 290 = ___________

3,482 = __________

59,777 = __________

2.9 × 102

3.482 × 103

5.9777 × 104