a）Y9 Mathematics > Standard Form > Flashcards

Standard Form Flashcards

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1
Q

Define standard form.

A

A way of writing numbers using powers of ten, typically for very large or small numbers.

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2
Q

True or false: Standard form can only represent whole numbers.

A

FALSE

Standard form can represent both whole numbers and decimals.

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3
Q

Fill in the blank: The standard form of 5000 is ______.

A

5 x 10^3

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4
Q

What is the standard form of 0.00045?

A

4.5 x 10^-4

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5
Q

True or false: Standard form is the same as scientific notation.

A

TRUE

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6
Q

What is the standard form of 123,000

A

1.23 x 10^5

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7
Q

Fill in the blank: The number 0.00789 in standard form is ______.

A

7.89 x 10^-3

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8
Q

What is the purpose of using standard form?

A

To simplify the representation of very large or small numbers for easier calculations.

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9
Q

True or false: Standard form can only be used in mathematics.

A

FALSE

Standard form is used in science, engineering, and finance.

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10
Q

Fill in the blank: The standard form of 0.0001 is ______.

A

1 x 10^-4

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11
Q

What does the exponent/indices in standard form indicate?

A
  • The number of places the decimal point is moved.

  • Positive indices means the number moves to the left
  • Negative indices means the number moves to right

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12
Q

Define coefficient in standard form.

A

The number in front of the power of ten, which is between 1 and 10.

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13
Q

What is the standard form of 2500000?

A

2.5 x 10^6

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14
Q

True or false: The coefficient in standard form can be greater than 10.

A

FALSE

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15
Q

Fill in the blank: The number 0.0000032 in standard form is ______.

A

3.2 x 10^-6

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16
Q

What is the standard form of 450000000?

A

4.5 x 10^8

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17
Q

Define magnitude in the context of standard form.

A

The size or extent of a number, often indicated by the exponent/indice

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18
Q

True or false: Standard form is only applicable to integers.

A

FALSE

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19
Q

What is the standard form of 0.00000078?

A

7.8 x 10^-7

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20
Q

Fill in the blank: The standard form of 800 is ______.

A

8 x 10^2

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21
Q

What is the standard form of 0.00012?

A

1.2 x 10^-4

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22
Q

True or false: Standard form can help in comparing very large numbers.

A

TRUE

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23
Q

Fill in the blank: The standard form of 320000 is ______.

A

3.2 x 10^5

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24
Q

True or false: Standard form is only used for large numbers.

A

FALSE

Standard form can represent both large and small numbers.

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25
Fill in the blank: To **multiply** two numbers in standard form, multiply the coefficients and ______ the powers of ten.
add
26
What is the **result** of multiplying 3 x 10^4 by 2 x 10^2?
6 x 10^6
27
How do you **divide** numbers in standard form?
Divide the coefficients and subtract the exponents/indices of ten.
28
What is 8 x 10^5 divided by 4 x 10^3?
2 x 10^2
29
True or false: You can **add** numbers in standard form directly without adjusting exponents/indices.
FALSE ## Footnote Exponents/indices must be the same to add the coefficients.
30
Fill in the blank: To **add** 2 x 10^3 and 3 x 10^3, first adjust to ______.
5 x 10^3
31
What is the **sum** of 1.5 x 10^4 and 2.5 x 10^4?
4 x 10^4
32
Define **coefficient** in standard form.
The number in front of the power of ten, typically between 1 and 10.
33
What is the **power of ten** in 7.2 x 10^6?
10^6
34
Fill in the blank: The **coefficient** of 4.5 x 10^2 is ______.
4.5
35
True or false: You can **subtract** numbers in standard form with different exponents/indices directly.
FALSE ## Footnote Adjust exponents/indices to be the same before subtracting.
36
What is the **difference** between 5 x 10^3 and 2 x 10^3?
3 x 10^3
37
How do you express **0.00045** in standard form?
4.5 x 10^-4
38
What is the **standard form** of 0.0032?
3.2 x 10^-3
39
Fill in the blank: When multiplying, the **exponents/indices** of 10 are ______.
added
40
What is the **product** of 6 x 10^2 and 3 x 10^3?
18 x 10^5, 1.8 x 10^6 (in standard form)
41
Define **scientific notation**.
Another term for standard form, used to express very large or small numbers.
42
True or false: In standard form, the coefficient must be less than 10.
TRUE, but the coefficient also has to be greater than 1
43
What is the **standard form** of 120000?
1.2 x 10^5
44
Fill in the blank: The **standard form** of 0.000007 is ______.
7 x 10^-6
45
What is the **result** of dividing 9 x 10^8 by 3 x 10^4?
3 x 10^4
46
Fill in the blank: To convert from standard form to decimal, move the decimal point ______.
to the right for positive exponents
47
Fill in the blank: To **add** numbers in standard form, you must align their _______.
Powers of ten
48
What is the **first step** in subtracting numbers in standard form?
Ensure both numbers have the same power of ten before subtracting.
49
How do you **multiply** two numbers in standard form?
Multiply the coefficients and add the exponent/indices of the powers of ten.
50
Fill in the blank: When **dividing** in standard form, you subtract the _______ of ten
powers
51
True or false: The **power of ten** in standard form can be negative.
TRUE ## Footnote Negative powers indicate decimal values.
52
What is the **result** of (3 x 10^4) + (2 x 10^4)?
5 x 10^4
53
Fill in the blank: To convert 0.0045 to standard form, write it as _______.
4.5 x 10^-3
54
What is the **product** of (2 x 10^3) and (3 x 10^2)?
6 x 10^5
55
Fill in the blank: The **result** of (5 x 10^6) - (1 x 10^6) is _______.
4 x 10^6
56
True or false: You can add numbers in standard form without adjusting the powers.
FALSE ## Footnote Powers must be the same for addition.
57
What is the **quotient** of (8 x 10^5) divided by (4 x 10^2)?
2 x 10^3
58
Fill in the blank: When multiplying (1.5 x 10^2) by (2 x 10^3), the coefficient is _______.
3.0
59
What is the **sum** of (7 x 10^5) and (3 x 10^6)?
3.7 x 10^6
60
Fill in the blank: To express 0.00012 in standard form, write it as _______.
1.2 x 10^-4
61
What is the **result** of (4 x 10^2) * (5 x 10^3)?
20 x 10^5 or 2.0 x 10^6 (in standard form)
62
Fill in the blank: The **difference** of (6 x 10^4) and (2 x 10^4) is _______.
4 x 10^4
63
What is the **coefficient** when you divide (9 x 10^8) by (3 x 10^4)?
3.0
64
Fill in the blank: To convert 5.67 x 10^3 to decimal form, move the decimal _______ places.
3
65
What is the **sum** of (2.5 x 10^3) and (3.5 x 10^4)?
3.75 x 10^4
66
Fill in the blank: The **result** of (1 x 10^5) / (2 x 10^2) is _______.
0.5 x 10^3 or 5.0 x 10^2 (in standard form)
67
Write the number in standard form (‘n’ is an integer and ‘a’ is a constant) -> a x 10^3 , where 10 <= a < 100
a x 10^3-1 a x 10^2
68
Write the number in standard form (‘n’ is an integer and ‘a’ is a constant) -> a x 10^-4 , where 0.1 <= a < 1
a x 10^-4+1 a x 10^-3
69
Work out the following, giving your answer in standard form (‘n’ is an integer) -> (2 x 10^n) x (3 x 10^3)
2x3 x 10^3+n 6 x 10^3+n
70
Work out the following, giving your answer in standard form (‘n’ is an integer) -> (8 x 10^3n) / (2 x 10^n)
(8/2) x (10^3n/10^n) 4 x 10^2n
71
Work out the following, giving your answer in standard form (‘n’ and ‘m’ are integers, ‘a’ and ‘b’ are constants) -> (a x 10^n) x (b x 10^m) where 1 <= ab < 10
ab x 10^m+n
72
Work out the following, giving your answer in standard form (‘n’ and ‘m’ are integers, ‘a’ and ‘b’ are constants) -> (a x 10^n) x (b x 10^m) where 10 <= ab < 100
(ab/10) x 10^m+n+1
73
Work out the following, giving your answer in standard form (‘n’ and ‘m’ are integers, ‘a’ and ‘b’ are constants) -> (a x 10^n) x (b x 10^m) where 0.01 <= ab < 0.1
100ab x 10^m+n-2
74
p = 3 x 10^5. What is 100p?
100p = 3 x 10^7
75
q = a x 10^m. Write down 1000q?
1000q = a x 10^m+3
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