Scientific Notation

Scientific Notation to Decimal Notation

100

Express the number in decimal notation

9.7 x 10⁴

97,000

200

Express the number in decimal notation

-2.86 x 10⁵

-286,000

300

Express the number in decimal notation

-5.38 x 10^-3

-0.00538

400

Express the number in decimal notation

3.92 x 10^-5

0.0000392

500

There are about 3.15 x 10⁷  seconds in a year. How is this number expressed in decimal notation

31,500,000

Decimal Notation to Scientific Notation

100

Express the number in scientific notation

-38,050

-3.805 x 10⁴

200

Express the number in scientific notation

0.0067

6.7 x 10^-3

300

Express the number in scientific notation

260,000

2.6 x 10⁵

400

Express the number in scientific notation

-0.05

-5 x 10^-2

500

The density of oxygen is 0.001429 grams per cubic centimeter. How is the number written in scientific notation?

1.429 x 10^-3

Mixed Scientific Notation

100

The US has 3.10 x 10⁸ kg of quarters in circulation. 

What is the weight of all quarters in circulation? 

Express your answer in decimal notation.

310,000,000

200

12.9 x 10⁴

Is this number written in scientific notation correctly?

If your answer id no, please explain why. 

No. The decimal number is too large. It should be a single digit number 1 - 9

300

The speed of light is approximately 186,000 miles per second. 

This number can be expressed in scientific notation as 1.86 times a power of ten. 

What is the exponent that ten would be “raised to”?

The exponent would be 5. 

400

Place these numbers in order from least to greatest

8.9 x 10^-2

1.34 x 10⁴

5 x 10²

8.9 x 10^-2

5 x 10²

1.34 x 10⁴

500

When should your calculator be in "scientific mode"

When you need to give an answer in scientific notation.

Throwback

100

Convert this number into a decimal:

teacher provided

200

What subset(s) does this number belong to?

-2.71

Rational Numbers, Integers, Whole Numbers, Natural Numbers

Rational Numbers

300

Convert this number into a decimal:

 teacher provided

400

What subset(s) does this number belong to?

927,000

Rational Numbers, Integers, Whole Numbers, Natural Numbers

Rational Numbers, Integers, Whole Numbers, and Natural Numbers

500

All whole numbers are integers. 

True or False? Be able to explain why

True. The whole numbers circle is inside the integer circle, so all whole numbers are integers.