Grade 9 Criteria A Review

Scientific Notation

100

Write the following number in scientific notation: 4500

4.5 x 10³

200

Write the following number in long format: 3.5 x 10^-3

0.0035

300

Write the following number in scientific notation: 680,000,000

6.8 x 10⁸

400

Write the following number in long format: 0.000053

5.3 x 10^-5

500

Write the following number in scientific notation: 3,456,000,000

3.456 x 10⁹

Scientific Notation Calculations

100

Solve the following:

(2 × 10⁴) (3 × 10⁴)

Answer in correct scientific notation.

6.0 x 10⁸

200

Solve the following:

(20 x 10⁵) / (5 x 10³)

Answer in correct scientific notation.

4.0 x 10²

300

Solve the following:

(7 × 10⁸) (9 × 10⁶)

Answer in correct scientific notation.

6.3 x 10¹⁵

400

Solve the following:

(2 × 10³) + (5 × 10⁵)

Answer in correct scientific notation.

5.02 x 10⁵

500

Solve the following:

(7 × 10⁸) – (4 × 10⁶)

Answer in correct scientific notation. 

6.96 × 10⁸

Exponent Laws

100

Solve the following:

(2X²)(2X²)

4X⁴

200

Solve the following:

(n⁴)(2n^-3)

2n

300

Solve the following:

(1/3)²

1/9

400

Solve the following:

(3a⁴)(b⁰)

3a⁴

500

Solve the following:

(2b⁴)^-1

1 / (2b⁴)

Number Sets

100

What is an integer?

All whole numbers. Includes positive, negative and zero.

200

What is a natural number?

Positive integers.

300

What is a whole number?

Positive integers and zero.

400

What is a rational number?

Can be written as a fraction. Decimals end or have a repeating pattern.

500

What is an irrational number?

Cannot be written as a fraction. Decimal does not end.

Radicals and Surds and Calculations

100

Rational Radical or surd? √49

Rational Radical

200

Rational Radical or surd? Why? √25/49

Rational Radical. Can be written as 5/7

300

Simplify: √3 x √3

3

400

Write √12 in simplest radical form.

2√3

500

Expand and Simplify: (3√2 + 2)(3√2 - 2)

14