Negative Exponents & Scientific Notation (Grade 9) — Worksheet & Memo

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Grade 9 · Exponents

Negative Exponents & Scientific Notation (Grade 9)

EXAM-STYLE CLASS TEST

Marks

Duration

50 minutes

Questions

Name:

Class:

Date:

Mark

/ 31

Instructions and Information

Answer ALL the questions in this question paper.
Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
Show ALL calculations clearly.
Show all units where applicable.
Number the answers correctly according to the numbering system used in this question paper.
A non-programmable calculator may be used, unless stated otherwise.
Write neatly and legibly.

Question 1

[10 MARKS]

Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.

1.1
2⁻³ = …
(1)
A)−8
B)√
C)−6
D)18
1.2
x⁻² written with a positive exponent is …
(1)
A)−x²
B)1x²
C)x²1
D)−2x
1.3
0,000 045 written in scientific notation is …
(1)
A)4,5 × 10⁵
B)4,5 × 10⁻⁵
C)45 × 10⁻⁶
D)4,5 × 10⁻⁴
1.4
3,2 × 10⁻³ written in full is …
(1)
A)3 200
B)0,0032
C)0,32
D)−3 200
1.5
(2 × 10³) × (4 × 10²) = …
(1)
A)8 × 10⁶
B)8 × 10⁵
C)6 × 10⁵
D)8 × 10^2,5
1.6
6 × 10⁸3 × 10⁵ = …
(1)
A)2 × 10¹³
B)2 × 10³
C)3 × 10³
D)2 × 10^1,6
1.7
Which one of the following is the SMALLEST?
(1)
A)3 × 10⁻²
B)3 × 10⁻⁴
C)3 × 10²
D)3 × 10⁰
1.8
5⁻¹ + 5⁰ = …
(1)
A)0
B)115
C)5
D)15
1.9
The mass of a dust particle is 7,5 × 10⁻⁷ g. In grams that is …
(1)
A)0,000 007 5
B)0,000 000 75
C)75 000 000
D)0,000 075
1.10
1x⁻³ = …
(1)
A)−x³
B)x³
C)1x³
D)−3x

Answer grid — circle your answers for Question 1

1.1	A	B	C	D
1.2	A	B	C	D
1.3	A	B	C	D
1.4	A	B	C	D
1.5	A	B	C	D
1.6	A	B	C	D
1.7	A	B	C	D
1.8	A	B	C	D
1.9	A	B	C	D
1.10	A	B	C	D

Question 2

[9 MARKS]

Write the following in scientific notation.

2.1
Light travels 9 500 000 000 000 000 km in one year. Write this speed in scientific notation.
(3)
2.2
Write 0,0000125 in scientific notation.
(3)
2.3
Write 3,04 × 10⁻³ as an ordinary decimal number, and state which is larger: 3,04 × 10⁻³ or 3,4 × 10⁻⁴.
(3)

Question 3

[12 MARKS]

Calculate the following, leaving your answers in scientific notation.

3.1
(2,4 × 10⁵) × (3 × 10³)
(4)
3.2
6 × 10⁷1,5 × 10³
(4)
3.3
The mass of a dust particle is 7,5 × 10⁻⁷ g. Determine the total mass of 2 000 identical dust particles. Give your answer in scientific notation.
(4)

TOTAL: 31 marks

This question paper consists of 3 questions.