Unit#1 Numeracy & Powers Review

Multiple Choice

Which statement is NOT true?

• Every rational number is a real number.
• Every counting number is a whole number.
• Every integer is a rational number.
• Every decimal number is an irrational number.

Multiple Choice

Classify the Number: -23

• Rational
• Real, rational, integer
• integer
• Real, irrational, whole

Multiple Choice

Classify 17/10

• Whole
• Rational
• Natural
• None of the above

Multiple Choice

Classify √35.

• Rational, Integer
• Whole, Integer, Rational 
• Irrational, Integer
• Irrational

Multiple Choice

What number below is a natural, whole, integer, rational, and real number ?

• -4
• 5.1
• 0.7
• 3

Multiple Choice

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

• Subtraction
• Division
• Multiplication
• Addition 

Multiple Choice

PEMDAS only works if....

• You add then subtract
• You subtract then add
• add or subtract right to left
• add or subtract left to right

Multiple Choice

(10 + 33 - 3) ÷ 8

• 13
• 3
• 5
• 11

Multiple Choice

(9 + 39) ÷ (11 - 5) = 

• 17
• 14
• 9
• 8

Multiple Choice

Which simplification is correct?

(each problem is division and then multiplication)

Multiple Choice

Which of these rational numbers is equal to an integer?

• $$-\frac{15}{14}$$

• $$-\frac{15}{10}$$

• $$-\frac{15}{5}$$

• $$-\frac{15}{4}$$

Multiple Choice

Which of these rational numbers is equal to a Whole Number?

• $$\frac{20}{10}$$

• $$\frac{20}{6}$$

• $$-\frac{20}{10}$$

• $$-\frac{20}{5}$$

Multiple Select

Identify the sets to which the following real number belongs.  Check all that apply.

$$-0.628$$  

• Natural Numbers

• Whole Numbers

• Integers

• Rational Numbers

• Irrational Numbers

Multiple Choice

Solve the following:
(2 + 7 - 1) ÷ 2²

• 16
• 2
• 72.25
• 8.75

Multiple Choice

8² +(7-4)²

• 74
• 72
• 70
• 73

Multiple Choice

Simplify:
[25-(13+4)+4] ÷ 3

• 6
• 2
• 3
• 4

Multiple Choice

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

• Division
• Multiplication
• Addition
• Subtraction

Multiple Choice

Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0

• There is no error.
• Addition was done first and you should have subtracted first
• There is a subtraction error

Match

Match the expanded form with the correct exponent.

• $$4^3$$   

• $$4^7$$  

• $$2^5$$  

• $$5^2$$  

• $$7^4$$  

4x4x4

4x4x4x4x4x4x4

2x2x2x2x2

5x5

7x7x7x7

• 4x4x4

• 4x4x4x4x4x4x4

• 2x2x2x2x2

• 5x5

• 7x7x7x7

Multiple Choice

Which number is the BASE?

2³ = 8

• 2

• 3

• 8

• I don't know, request me for Tiger Time for help please!

Multiple Choice

Write the following in exponential form:

4 x 4 x 4 x 4 x 4

• 4⁵

• 5⁴

• 4⁶

• 4⁶

Multiple Choice

Which has a greater value?
2³ or 3²

• 3²
• 2³

Multiple Choice

• 4³

• 4¹⁵

• 1³

• 1¹⁵

Multiple Choice

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

Multiple Choice

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we multiply powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we divide powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

-4x⁰

• -4x
• -4
• 1
• -1

Multiple Choice

Simplify 4^-2= 

• 1/16
• -16
• 1/4
• -42

Multiple Choice

• 2 / x²
• -2x²
• 2x²
• 2x¹⁴

Multiple Choice

Simplify (6x⁷)²

• 12x¹⁴
• 36x¹⁴
• 6x¹⁴
• 6x⁹

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Multiple Choice

Scientific Notation is made up of two number parts. The second part is a power of base 10.

• True
• False

Multiple Choice

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

• False
• True

Multiple Choice

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

Multiple Choice

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number
• you will get a small number

Multiple Choice

ANY number raised to a power of 0 will be....

• 10
• itself
• 1
• 0

Multiple Choice

What is it called when you go from this form to this next form?
0.0088 to 8.8 x 10³

• Standard form to scientific notation
• Scientific notation to regular form
• Scientific notation to standard form
• Standard form to regular form

Multiple Choice

When your exponent is negative, you move your decimal....

• to the right
• to the left
• to both sides
• nowhere.... the decimal goes nowhere

Multiple Choice

Write in standard form: 
8 x 10⁴

• 8,000
• 80,000
• .00008

Multiple Choice

How would you write 4.3756 x 10⁴ in standard form?

• 437,560,000
• 0.00043756
• 43,756
• 4,3756

Multiple Choice

Which number is correctly written in scientific notation?

• 5.67 x 10⁵
• 56.7 x 10³
• 0.567 x 10⁶

Multiple Choice

Write in scientific notation: 
0.0000378 

• 3.78 x 10^-5
• 3.78 x 10^-6
• 0.378 x 10^-5