Vocab & communication
Index laws
Scientific & Decimal Notation
100

The variable in

2 + a

What is a

100

Simplify 2a4x 3a3

6a7

100

Identify the number 0.00245 in scientific notation

What is

2.45 x 10-3

200

The coefficient in

-2a4b

What is -2

200

Simplify

(2a3b)4

What is

4a12b4

200

Identify the number 6.3 x 105 in decimal notation

what is

630 000

300

Explain the second index law and give an example to show this mathematically.

What is:

a^n/(a^m) =a^n^-^m

The second index law state that when bases are the same and you are dividing you can subtract the powers.

e.g:  

10^6/(10^2)

=10^4

300

Simplify:

(15x^7)/(5x^12)

what is:

3/x^5

300

Simplify and write in scientific notation

(1 xx 10^8)/(1 xx 10^3)

What is :

1 x 105

400

A multiple choice question requires a student to multiply 66 by 63 . The student is having trouble deciding which of these four answers is correct: 616, 69, 369or 3618.

Which is the correct answer? support your answer with mathematical reasoning.

What is:

69, index law one state when bases are the same and you are multiplying you add the indices and the base must stay the same. In 66x63 the bases are both 6 so we can add the indices.  66+3 simplifies to 69

400

Simplify:

(-5x^5*x^3 2x^4)/((5x^6)^2)

what is:

-1

400

The number 0.087 52 to 2 significant figures is:

what is:

0.088

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