Number Sense Review

Real Number System

100

{0, 1, 2, 3, 4 , ...} This set of numbers is an example of _____________ (best answer).

Whole Numbers

200

The symbol for Rational Numbers is _______.

Q

300

{√ 16 , 𝜋  , √ 5 , 1.4142135623730950... } From this set, which one does not belong to the group?

√16 because it is not an irrational number

400

Irrational numbers have numbers with ___________ and __________ decimals.

Non-repeating and non-terminating

Infinity, Limit, Density

100

Two truths and a lie:

Infinity has no end.

Infinity is a real number.

A line has infinity points.

Infinity is a real number.

200

Limit refers to the _____________ behaviour of a pattern or function.

long-term

300

Which set has higher density? The set of whole numbers between 0 and 30 or the set of rational numbers between 0 and 30.

The set of rational numbers between 0 and 30.

400

{0.3,0.33,0.333,0.3333,...} What is the limit of this set?

0.34

Integers

100

108 ÷ (–9) =

108 ÷ (–9) = –12

200

-10 - 4 + (-7) = ?

-21

300

Make the equation true by filling the boxes with + , - , ÷ , ×

-2 ▢ 5 ▢ -8 = 11 

-2 + 5 - (-8) = 11

400

At 3pm, the temperature in Thunder Bay was -5℃. At 11pm, the temperature was -29℃. What was the change in temperature?

-29 - (-5)

= -29 + 5

= -24

BEDMAS

100

3 × (–6) - (–2) = ?

3 × (–6) - (–2) = –16

200

–36 ÷ (2 - 5)² = ?

–36 ÷ (2 - 5)² = –4

300

Make the equation true by filling the boxes with + , - , ÷ , × and adding brackets where necessary

–4 ▢ 7 ▢ 9 = 2

–4 ÷ (7 - 9) = 2

400

Tyrone started with $450 in his bank account. He withdrew $50 each week for 6 weeks. How much money remains in his account?

450 - (50 × 6)

= 450 - 300

= 150

Tyrone has $150 left in his bank account.

Exponents

100

In the power (–5)⁴, what is the expanded form?

–5 × –5 × –5 × –5 × –5

200

The population of India is 1 366 000 000. Write the numbers in scientific notation.

1.366 x 10⁹

300

Express as a single power then evaluate.

3⁸3¹⁰ / 3¹⁹ = ?

3¹⁸ / 3¹⁹ = 3^18-19 = 3^-1 = 1/3

400

Evaluate. Express your answer in scientific notation and then in standard notation. Hint: convert the scientific notation to expanded, then multiply.

(4.0 x 10⁵) x (6.2 x 10³) =

(4.0 x 10⁵) x (6.2 x 10³)

= 400000 x 6200

= 2.48 x 10⁹

= 2,480,000,000