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Indices and Standard Form

Indices and Standard Form

Assessment

Presentation

Mathematics

8th Grade

Medium

Created by

Jennifer Clement

Used 16+ times

FREE Resource

9 Slides • 23 Questions

1

Indices and Standard Form

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2

Let's see how much you've remembered about the last few weeks...

  • What is law 1 of the rules of indices?

  • Which law are we using when we subtract the powers?

  • Can you write a large number in standard form?

  • Do you remember how to add together two numbers written in standard form?

3

During today's lesson...

During this recap lesson some reminders will be shown and then you'll have a chance to complete some questions against your classmates.


Are you ready for your first question?

4

Fill in the Blanks

Type answer...

5

Fill in the Blanks

Type answer...

6

Fill in the Blanks

Type answer...

7

Laws of Indices

  • You need to remember the previous three laws

  • Coefficients (numbers in front) are affected by the operation in the question, not the law

  • Law 4: Anything to the power of 0 is equal to 1

  • Law 5: with negative powers, we can rewrite to 1 over the remaining parts

  • Law 6: in fractional powers, the denominator is the root and the numerator is the power underneath the root

8

Let's try some questions...

Are you ready?

9

Multiple Choice

Simplify: 35 x 37
1
312
2
912
3
335
4
935

10

Multiple Choice

Simplify: w24 ÷ w8

1

w16

2

w3

3

w32

4

w24/8

11

Multiple Choice

Simplify: (y7)2
1
y14
2
y49
3
y5
4
y9

12

Multiple Choice

Simplify: f0
1
1
2
f
3
f1
4
0

13

Standard Form

  • Used to represent very large or very small numbers

  • Positive powers => large numbers

  • Negative powers => small numbers

  • First number has to be between 1 and 10 (can be 1, can't be 10)

14

Standard form questions coming next...

Let's check what you remember

15

Multiple Choice

True or False:


13.7 × 103 is written in standard form.

1

True

2

False

16

Multiple Choice

What is 3 × 10-2 written

as an ordinary number?

1

300

2

3000

3

0.03

4

0.3

17

Fill in the Blanks

Type answer...

18

Multiple Choice

How do you write 1001 in standard form?

1

1.0001 x 104

2

1.01 x 105

3

1.001 x 103

4

10.1 x 103

19

Let's mix everything up!

Be prepared for questions about everything talked about, all mixed together

20

Fill in the Blanks

Type answer...

21

Fill in the Blanks

Type answer...

22

Multiple Choice

The number below, when written is standard form is:

 21 600 00021\ 600\ 000  

1

 216 ×105216\ \times10^5  

2

 21.6 ×10621.6\ \times10^6  

3

 2.16 ×1072.16\ \times10^7  

4

 2.16×1072.16\times10^{-7}  

23

Multiple Choice

Why do we need to learn indices and standard form?

1

to simplify the actual data

2

to expand the actual data

24

Multiple Choice

a7 × a4 ÷ a5

1

a7

2

a6

3

a4

4

a11

25

Multiple Choice

Which is greater,  26540 or 50?
1
26540
2
50
3
They are the same
4
Zero is greater

26

Multiple Choice

(y9)-2
1
y18
2
y11
3
1/y18
4
y9/2

27

Multiple Choice

The number below, when written in standard form is:

 0.000 000 017 30.000\ 000\ 017\ 3  

1

 1.73 ×1081.73\ \times10^{-8}  

2

 1.73 ×1081.73\ \times10^8  

3

 17.3 ×10917.3\ \times10^{-9}  

4

 1.73×1091.73\times10^{-9}  

28

Multiple Choice

Simplify the following, giving your answers with positive indices:

 (4a2b)×(6ab)\left(4a^2b\right)\times\left(6ab^{ }\right)  

1

 24a2b224a^2b^2  

2

 24a3b24a^3b  

3

 24a3b224a^3b^2  

4

 10a3b210a^3b^2  

29

Multiple Choice

What is the missing index?

(26)x = 218

1

12

2

3

3

10

4

4

30

Multiple Choice

Simplify: χ3 ÷ χ2

1

χ

2

χ5

3

χ6

4

χ-1

5

1/χ

31

Multiple Choice

Simplify the following:

 642364^{\frac{2}{3}}  

1

4

2

8

3

16

4

32

32

Well done!

You have now finished with your Maths for the day!

You can press 'mark as done' on the Google Classroom assignment.

Indices and Standard Form

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