

Indices and Standard Form
Presentation
•
Mathematics
•
8th Grade
•
Medium
Jennifer Clement
Used 16+ times
FREE Resource
9 Slides • 23 Questions
1
Indices and Standard Form

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
Laws of Indices - Law 1
The first law tells us that when multiplying two numbers together that have different powers (eg: 2² x 2³), we can
Type answer...
5
Fill in the Blanks
Laws of Indices - Law 2
The second law tells us that when dividing two numbers together that have different powers (eg: 2³ ÷ 2²), we can
Type answer...
6
Fill in the Blanks
Laws of Indices - Law 3
The third law tells us that when raising one number to the power of another (eg: (2³)² ), we can
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
10
Multiple Choice
Simplify: w24 ÷ w8
w16
w3
w32
w24/8
11
Multiple Choice
12
Multiple Choice
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)
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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.
True
False
16
Multiple Choice
What is 3 × 10-2 written
as an ordinary number?
300
3000
0.03
0.3
17
Fill in the Blanks
What is 4×103 written as an ordinary number?
Type answer...
18
Multiple Choice
How do you write 1001 in standard form?
1.0001 x 104
1.01 x 105
1.001 x 103
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
The number 0.000 000 000 067 written in standard form is
6.7 ×10n . What is the value of "n"?Type answer...
21
Fill in the Blanks
Express the number below in ordinary form:
5.23×104Type answer...
22
Multiple Choice
The number below, when written is standard form is:
21 600 000216 ×105
21.6 ×106
2.16 ×107
2.16×10−7
23
Multiple Choice
Why do we need to learn indices and standard form?
to simplify the actual data
to expand the actual data
24
Multiple Choice
a7 × a4 ÷ a5
a7
a6
a4
a11
25
Multiple Choice
26
Multiple Choice
27
Multiple Choice
The number below, when written in standard form is:
0.000 000 017 31.73 ×10−8
1.73 ×108
17.3 ×10−9
1.73×10−9
28
Multiple Choice
Simplify the following, giving your answers with positive indices:
(4a2b)×(6ab)24a2b2
24a3b
24a3b2
10a3b2
29
Multiple Choice
What is the missing index?
(26)x = 218
12
3
10
4
30
Multiple Choice
Simplify: χ3 ÷ χ2
χ
χ5
χ6
χ-1
1/χ
31
Multiple Choice
Simplify the following:
6432
4
8
16
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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