Indices - Scientific Notation - Surds Flashcards

1
Q

What do you need to add powers?

A

The same base

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2
Q

What do you need to divide powers?

A

Same base

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3
Q

What do you do when dividing powers?

A

Top power - bottom power

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4
Q

What does (a to the power of p) to the power of q mean you have to do?

A

Multiply powers

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5
Q

What does a power of 0 always equate to?

A

1

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6
Q

What do you do when you have a negative indice?

A

Invert

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7
Q

What power does a number with no number have?

A

1

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8
Q

What do you do when you have a product to a power?

A

Raise each part of the product to the power

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9
Q

What do you do when you have a quotient to a power?

A

Raise each number of the fraction to the power

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10
Q

What does a and m over n equal to?

A

Penomation squared to base (numerator)

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11
Q

How do we solve equations with indices?

A

Get the same base number on each part of the equation, equate the powers and solve the resulting equation

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12
Q

What does hence mean?

A

Using the previous answer you got

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13
Q

What is the symbol for irrational numbers?

A

R/Q

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14
Q

What are irrational numbers?

A

Numbers that cannot be fractions ,non-terminating and non-repeating decimals

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15
Q

How do you solve a surd question?

A

ab squred= a squared x b squared or a over b all squared= a squared over b squared

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16
Q

What does one number have to be in a surd equation?

A

Perfect square e.g. 9

17
Q

What is standard form?

A

A way to write very large or small numbers

18
Q

What does a in standard form have to be?

A

Including but not less than 1 and less than 10

19
Q

What does a positive power in standard form mean?

A

The answer is a large number

20
Q

What does a negative power in standard form mean?

A

The answer is a small number

21
Q

How do you add/ subtract in standard form?

A

Change each number to decimal form, add/subtract and change back to standard form

22
Q

How do you divide/multiply numbers in standard form?

A

Multiply/ divide the ‘a’ parts, multiply/ divide the 10 to the power of n and tidy up answer

23
Q

What happens if the number is less than 1 in significant numbers?

A

The zeros before and after the decimal part aren’t significant

24
Q

What happens if a part of the recipriocal is negative?

A

When it’s flipped, the whole fraction becomes negative