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 

Addition

100

1.11*10³ +1.11* 10²

1.221*10³

200

2.536*10⁸ + 1.524*10⁶

2.55124 * 10⁸

300

7.49*10⁵ + 6.51*10⁴

8.141* 10⁵

400

1.26*10^4 + 1.12*10^3

1.372*10^4

500

6.88*10^4 + 2.22*10^2

4.5*10^6

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

Anything Goes

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

(6.214*10⁸)-(5.71*10⁶)

6.1569*10⁸

400

(2.22*10³)-(1.11*10²)

2.109*10³

500

1.689*10⁹-5.62*10⁶

1.68338*10⁹

Multiplying and Dividing

100

(2*10³)(4*10³)

8*10⁶

200

(6*10⁷)(7*10^-3)

4.2*10⁴

300

(120*10^-5) / (5*10^-10)

2.4*10^-14

400

(64*10^-6) / (8*10³)

8* 10^-9

500

(8*10⁴)(6*10^-8)

4.8*10^-5