NUMBER OPERATIONS REVIEW

Exponents

100

What are the two components in the anatomy of an exponent?

Base and the Power/Exponent/Index. 

200

Solve for x: 10^x = 10,000,000. 

^x= 10⁷.

300

If multiplications are repeated additions, then exponents are...

Repeated multiplication.

400

Solve for x: 10⁰ + 9 = x 

x=10. 

500

What is the difference between standard form and expanded form?

Standard form is the expanded or exponential form and the answer, expanded form is simply the repeated multiplication of the exponential form without the answer. 

Roots

100

What is the difference between a square root and a cube root?

Square is 2 and cube is 3. 

200

What is the square root of 144?

12.

300

Which is a perfect square : √ 25 or √ 81. 

Both are perfect squares. 

400

What are the perfect squares from 1-100?

1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

500

What does the total of a root represent and the square root tell us about shape.

The total of a root represents the area of a shape, and the square root tells us the lengths of a square (length x length). 

Order of Operations

100

What is the acronym for the correct order of operations?

PEDMAS.

200

What do the letters represent in PEDMAS?

Parenthesis, Exponent, Division, Multiplication, Addition, Subtraction.

300

If a mathematical expression has both multiplication and division, which do you solve first? 

Which ever appears first from left to right. 

400

Solve the following expression: 10⁵ - 10,000 + (10,000⁰ - 1)

10⁵ - 10,000 + (10,000⁰ - 1)

= 10⁵ - 10,000 + (1-1)

= 10⁵ - 10,000 + 0

= 100,000 - 10,000 + 0 

= 90,000 + 0

= 90,000

500

How many complete steps would it take to solve: 10⁵ - 10,000 + (10,000⁰ - 1). 

Five steps. 

1 = 10⁵ - 10,000 + (1-1)

2 = 10⁵ - 10,000 + 0

3 = 100,000 - 10,000 + 0 

4 = 90,000 + 0

5 = 90,000

Fractions, Decimals, & Percentages

100

What is a fraction? 

A part of a whole. 

200

What is a decimal

A decimal number has two parts separated by a decimal point (dot/period). 

300

What is a percentage? 

A number or ratio expressed as a fraction of 100 with the % symbol. 

400

What is 64/100 as a decimal and a percentage? 

0.64 and 64%. 

500

What is 5% as a decimal and a fraction? Simplify the fraction. 

0.05 and 5/100 = 1/20. 

RULES

100

Never confuse square roots with ________.

Division.

200

Anything to the power of zero = ?.

1.

300

The ________ has no business being in the expanded form of an exponent. 

Little number/index/power/exponent. 

400

What is the difference between PEDMAS and BEDMAS? 

Parenthesis and brackets. 

500

Represent Ms. Nora's Drill Sergeant intensity as a fraction and percentage. 

100/100 and 100%.