Scientific Notation Basics and operations Review

Scientific Notation

100

Write 0.028 in scientific notation.

2.8x10^-2

200

Write 0.000098 in scientific notation.

9.8x10^-5

300

Write 24,567 into scientific notation.

2.4567 X 10⁴

400

Write .00004521 in scientific notation.

4.521x10^-5

500

Write 9,870,000,000,000 in to scientific notation.

9.87 x 10¹²

Standard Form

100

Write 9.89 x 10⁷ into standard form (as a regular number).

98,900,000

200

Write 6.89 x 10^-5 into standard form (as a regular number).

0.0000689

300

Write 1.023 x 10 ³ into standard form (as a regular number).

1,023

400

Write 1.24 x 10⁵ into standard form (as a regular number).

124,000

500

Write 5.534 X 10^-6 into standard form (as a regular number).

0.000005534

Rational or Irrational?

100

Is 7.9 x 10³ rational or irrational?

Why?

Yes because 7.9 x 10³ = 79,000 which is a whole number

200

Repeating decimals, terminating decimals, the golden ratio, and perfect squares are all rational numbers.

True or False?

False. The golden ratio is a decimal that does not have a repeating pattern. Therefore, it can not be rational.

300

Give an example of a number that is rational but not an integer.

Examples include: 

-5/3, 8/11, 2/5

400

Give three examples of rational numbers.

Teacher to check

500

What is the difference between a rational number and an irrational number? Give an example of each.

Rational numbers- numbers that can be expressed in the form of a/b where b is not equal to 0. Rational numbers can be terminating decimals, repeating decimals, whole numbers, integers, perfect squares. 

Irrational numbers: can not express in the form of a fraction or ratio

Metric Conversions

100

When moving up the metric ladder, which way do you move the decimal?

Left

200

Convert 

0.89mg to Mg 

0.0000000089 Mg

300

How many spaces do you move the decimal from Tera- to micro-? What direction?

20 to the right

400

Convert 0.9856 Tg to nanograms.

985,600,000,000,000,000,000 OR 9.856 x 10²⁰

500

Convert 789.56 microliters to gigalitres in scientific notation.

7.8956 x 10^-13 gigalitres

Decimals & Square Roots

100

What is 0.15 repeating as a fraction in lowest terms?

5/33

200

What would the denominator of a repeating decimal with three repeating digits always be?

999

300

Estimate the square root of 97 to two decimal places

9.85

400

Order these from least to greatest:

-4.7676....

-17/3

square root of -27

- 17/3, square root of -27, -4.7676...

500

Estimate the square root of 237 to two decimal places

15.40