Number 2 Flashcards

1
Q

How do you simplify a fraction?

A

Divide the top and bottom by the same number until they won’t divide any more

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2
Q

Round 465 to the nearest 10

A

470

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3
Q

What is the value of 1,sup.18</sup> ?

A

1

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4
Q

What is the first step in multiplying two mixed numbers?

A

Change them both into improper fractions

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5
Q

Which digit in
0.1035
is the second significant figure?

A

The second zero

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6
Q

How do you multiply two numbers in standard form?

A

Multiply the numbers together
and
add the powers on the 10’s

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7
Q

What is the first thing you need to do to add 3/8 and 1/6 ?

A

Find equivalent fractions using a common denominator

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8
Q

What is 0.53 as a fraction?

A

53/100

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9
Q

What is meant by the error interval when a number has been rounded?

A

The range of values the actual value could have taken before rounding

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10
Q

How do you raise a fraction to a power?

A

Apply the power to both the top and the bottom of the fraction
e.g.
(5/8)2 = 25/64

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11
Q

Evaluate 2/5 + 1/3

A

2/5 + 1/3

= 6/15 + 5/15

= 11/15

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12
Q

Round 2.498 to 2 decimal places.

A

2.50

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13
Q

True or False?
A fraction is in its simplest form if the numbers on the top and bottom of the fraction have no common factors?

A

True

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14
Q

What is the value of 50 ?

A

1

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15
Q

What is the symbol for ‘approximately equal to’ ?

A

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16
Q

What do you need to do to write one number as a fraction of another?

A

Write the first number over the second number.
Cancel down if you can

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17
Q

What is 20% as a decimal?

A

0.2

18
Q

Is 12 x 104 in standard form?

A

No the first number has two digits before the decimal point

19
Q

A length is rounded to the nearest centimetre.
Up to how much bigger could the actual value be than the rounded value?

A

Half a centimetre

20
Q

What are the square roots of 36 ?

A

6 and -6

21
Q

How do you divide two powers of the same number?

A

Subtract the powers

22
Q

x = 4.7 rounded to the first decimal place.
What is the error interval for x ?

A

4.65 ≤ x < 4.75

23
Q

What is 3½ as an improper fraction?

A

7/2

24
Q

What is the first thing you should do to order fractions?

A

Rewrite the fractions with a common denominator

25
Q

How do you estimate an answer to a calculation?

A

Round all the numbers to 1 significant figure,
then do the calculation with the rounded numbers

26
Q

How do you convert a decimal to a percentage?

A

Multiply by 100

27
Q

True or False?
If the digit after the place you are rounding to is a 5, the last digit in the rounded number stays as it is.

A

False
the last digit is rounded up
(increased by 1)

28
Q

If a number is in standard form, between which two values should its first number be?

A

1 ≤ x < 10

29
Q

What is the first step in multiplying two improper fractions?

A

Multiply the tops
and bottoms separately

30
Q

What do you need to do to the powers to work out (82)4 ?

A

Multiply them.
(82)4 = 88

31
Q

What do you need to do to convert a fraction into a decimal?

A

Divide the top by the bottom

32
Q

What is the integer part when 28/3 is converted into a mixed number?

A

9

33
Q

How do you multiply two powers of the same number?

A

Add the powers

34
Q

What is the first significant figure of a number?

A

The first digit that is not a zero

35
Q

What do you do when you divide fractions?

A

KFC
Keep the first fraction
Flip the second fraction upside down
Change the ‘÷’ for a ‘x’ (and multiply)

36
Q

What do you do first when you add to numbers that are in standard form?

A

Change them into ordinary numbers

37
Q

How do you find a fraction of a number?

A

Divide the number by the bottom of the fraction,
and then multiply the result by the top

38
Q

What is 13.685 rounded to 1 decimal place?

A

13.7

39
Q

16.2 x 7.7
is estimated by calculating 20 x 8.
Will this be an underestimate or overestimate?

A

Overestimate
Both numbers in the estimate are bigger than the original numbers

40
Q

When a number is rounded to the nearest 100, its value is 700.
What is the minimum value of the original number?

A

650