Unit 1 - Number Flashcards

1
Q

What is the lowest common multiple?

A

The lowest number that divides with no remainder into north numbers.

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2
Q

What is the highest common factor?

A

The highest factor between two numbers.

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3
Q

How do you find if a number is a product of its prime factors?

A

Draw a factor tree.

Then multiply all the numbers at the bottom to make that number.

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4
Q

What happens when something is to the power 0?

A

It is always 1

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5
Q

What is anything to the power 1?

A

Itself

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6
Q

What is 1 to Theo owner anything?

A

Still 1

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7
Q

What do you do when you multiply powers?

A

Add them

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8
Q

What do you do when you divide powers?

A

Subtract them

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9
Q

What happens when something is to the power of a half?

A

It is a square root.

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10
Q

What happens when something is to the power of a fraction?

A

It is to the power of the numerator.

The bottom is the square root

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11
Q

What happens when one power is out of the bracket and the other isn’t?

A

Multiple them.

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12
Q

What happens when the whole number is a fraction?

A

Apply the power to the numerator and the denominator

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13
Q

What happens when there is a negative power?

A

Then you turn it into a fraction.
The reciprocal.
To the power -2 =
1/N2

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14
Q

What is the reciprocal?

A

The numbers fractional inverse.

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15
Q

What is standard form?

A

A way of displaying very small and very large numbers.

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16
Q

What is a rule for standard form?

A

The number is always greater than one bad smaller than 10.

17
Q

What happens to the power in standard form for a small number?

A

It is negative.

The decimal moves to the left.

18
Q

What happens in standard form when the number is very large?

A

The power is positive.

It moves towards the right.

19
Q

What is a surd?

A

A number that doesn’t create a whole number when it is square rooted.

20
Q

What happens when surds are multiplied together?

A

The numbers multiply, and the product is in one surd.

21
Q

What happens when two surds are divided?

A

It becomes a fraction in a surd.

22
Q

What happens when two surds are added together?

A

DO NOTHING

23
Q

What happens when there is a surd on the bottom of a fraction?

A

It needs to be rationalised.

24
Q

How to rationalise a denominator?

A
  1. Multiply fraction by the bottom.
  2. Top becomes surd.
  3. Bottom gets rid of surd
25
Q

How to you simplify a surd?

A
  1. Find two factors that go into that number.
  2. Separate into two surds.
  3. Square root one of the number.
  4. Leave other in surd.
26
Q

What does estimating mean?

A

Looks at numbers and making hem into wile numbers before doing the calculation.

27
Q

What are the three rules for estimating?

A
  1. If decimal place, round to whole number.
  2. If in hundreds, to the bearish hundred.
  3. Below 5 rounds down, 5 and above goes up.