Powers of 10, Exponents, Perfect Squares

Rounding

100

Round to the nearest whole:

45, 871.29

45, 871

200

Round to the nearest hundred:

3, 872

3, 900

300

Round to the nearest hundredth:

12.385

12.39

400

Round to the nearest tenth:

811.982

812.0

500

Round to the nearest ten thousand:

34, 174, 194

34, 170, 000

Powers of 10

100

Write in standard form:

10⁶

1,000,000

200

Write in exponential form:

1 billion

10⁹

300

What is the value of 10⁰?

1

400

Represent the following in exponential and standard form:10 x 10 x 10 x 10

10⁴

10,000

500

Represent in repeated multiplication, exponential, and standard form:

One hundred thousand.

100,000

10⁵

10 x 10 x 10 x 10 x 10

Multiply/Divide

100

Find the value:

45 x 100

4,500

200

Find the value:

280 x 10⁴

2,800,000

300

Find the value:

2.66 x 10

26.6

400

Find the value:

2,023 ÷ 100

20.23

500

Find the value: 

14,500,200 ÷ 10³

14,500.2

Squares & Roots

100

List all the perfect squares between 10 and 50.

16, 25, 36, 49

200

Draw and label a perfect square that has a width of 3 units.

- 3 units long & labelled
- 3 units wide & labelled
- "9" in the middle

300

Explain why 50 is not a perfect square.

The square root of 50 is not a whole number.

There is no whole number that can be multiplied by itself to equal 50.

The closest perfect square is 7² = 49.
The next is 8² = 64.

400

What is the square root symbol called? 

Draw it.

Radical sign.

⎷

500

Find the value:

⎷81 + ⎷121

9 + 11

= 20

Word/Thinking

100

Bill and Colin are each expecting a puzzle in the mail. Each puzzle is made with pieces that are roughly square shaped.

Bill's puzzle has 125 pieces and Colin's has 144.

Which puzzles could be square shaped, and why?

Colin's puzzle could be square shaped, because it could be 12 pieces by 12 pieces. 

Bill's puzzle is not - 125 is not a perfect square.

200

A tower is made with 3 perfect squares.

The tower is made with 45 units.
Its height is 11 units.

Perfect squares: 25, 16, 4 (Total: 45)

           Heights:   5,  4,  2 (Height: 11)

300

61 is not a perfect square.

If you had to estimate it's square root, what would you estimate?

61 is in between 49 (7²) and 64 (8²), but it is closer to 64.

A good estimate would be between 7.6 and 7.9

400

$5,642,812 is being divided into 100 envelopes. How much money will go into each envelope?

5,642,812 ÷ 100

= 56,428.12 

$56,428.12 will go into each envelope.

500

Math textbooks cost $68.95.

If YRDSB wanted to buy one for each grade 7 student, and there are 10,000 grade 7 students, what would the total cost be?

68.95 x 10,000

= 689,500

The total cost of 10,000 textbooks will be $689,500.