Scientific Notation

Rules

100

Give Me two of the five Integer rules.

you are correct

200

What are the two-division rules of Scientific Notation?

1. Divide the numbers without the exponents.

2. Keep a base of ten and subtract your exponents.

300

What is the subtraction rule for Scientific Notation?

The exponents have to be the same before you can subtract. Make sure the bigger number is on top

400

What is the addition rule for Scientific Notation?

The exponents have to be the same before you can add them together.

500

What are the two Multiplication Rules for scientific Notation?

1. Multiply the numbers without the exponents 

2. Keep a base of 10, and add your exponents 

Standard to Scientific

100

Convert to scientific notation: 4213000

4.213 X 10^6

200

Convert to scientific notation: 25,360

2.536 X 10^4

300

Convert to scientific notation: 8,000,000

8 X 10^6

400

Convert to scientific notation: 734,239

7.34239 X 10^5

500

Convert to scientific notation: 45,300

4.53 X 10^4

Comparing

100

Which is bigger? 45,000 or 4.5 X 10^3

45,000

200

Which is smaller? 9,000,000 or 9 X 10^9

9 X 10^9

300

Which is smaller? 700 or 7.00 X 10^3

700

400

Which is larger? 89,000 or 8.9 X 10^4

89,000

500

Which is equal? 6.7 X 10^3 = 67,000 OR 5.4 X 10^4 = 54,000

5.4 X 10^4 = 54,000

Standard to Negative Scientific

100

Convert into scientific notation: 0.0000345

3.45 X 10^-5

200

Convert to scientific notation: 0.03452

3.452 X 10^-2

300

Convert to scientific notation: 0.00094

9.4 X 10^-4

400

Convert to scientific notation: 0.0003205

3.205 X 10^-4

500

Convert to scientific notation: 0.00000013

1.3 X 10^-7

Negative Scientific to Standard

100

Convert to standard notation: 3.0 X 10^-3

0.003

200

Convert to standard notation: 5.6 X 10^-4

0.00056

300

Convert to standard notation: 4.38 X 10^-5

0.0000438

400

Convert to standard notation: 4.6 X 10^-6

0.0000046

500

Convert to standard notation: 9.6473 X 10^-7

0.00000096473