Arithmetic Flashcards

1
Q

decimals

adding/subtracting decimals

A

line up the decimal points

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2
Q

decimals

multiplying decimals

A

keep track of the number of digits to the right of each decimal point and add that in at the end

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3
Q

decimals

dividing

A

move the decimal to make an integer and move the decimal the same number of places in the number you are dividing into (dividend). the answer has the decimal in the same place as the dividend

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4
Q

Any number raised to the exponent 0 is?

A

1

except 0 raised to the 0 power, which is undefined

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5
Q

Exponents

negative exponents

A

use reciprocal (take out the negative and put it under 1)

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6
Q

Exponents

multiplying powers with the same base

A

add exponents

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7
Q

Exponents

divide powers with the same base

A

subtract the exponents

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8
Q

Exponents

when adding or subtracting bases

A

CANNOT combine exponents

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9
Q

how do you raise a power to a power?

A

(32)3 = 36

Multiply the exponents

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10
Q

how do you raise a product in parenthesis to a power?

A

distribute the power over both factors

(x2 y4) = x2x3 y4x3 = X6y12

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11
Q

A number between 0-1 gets larger or smaller when raised to a higher power?

A

smaller

(1/3)4 =

1/3 x 1/3 x 1/3 x 1/3 = 1/81

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12
Q

Is a negative numnber raised to an even power negative or positive?

A

A negative number raised to an even power becomes positive.

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13
Q

Is s negative number raised to an odd power negative or positive?

A

Negative

A negative number raised to an odd power remains negative

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14
Q

multiplication

3x8

A

24

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15
Q

multiplication

3x9

A

27

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16
Q

multiplication

4x7

A

28

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17
Q

multiplication

4x8

A

32

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18
Q

multiplication

4x9

A

36

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19
Q

multiplication

what is the rule for multiplying by 5?

A

divide the number by 2 and move the decimal over 1

20
Q

multiplication

6x4

21
Q

multiplication

6x7

22
Q

multiplication

6x8

23
Q

multiplication

6x9

24
Q

multiplication

what is the rule for multiplying by 9?

A

multiply the number by 10 and subtract the number

25
# multiplication 7x6
42
26
# multiplication 7x8
56
27
# multiplication 7x9
63
28
# multiplication 8x4
32
29
# multiplication 8x6
48
30
# multiplication 8x7
56
31
# multiplication 8x9
72
32
# multiplication 9x4
36
33
# multiplication 9x6
54
34
# multiplication 9x7
63
35
# multiplication 9x8
72
36
# multiplication 12x3
36
37
# multiplication 12x4
48
38
# multiplication 12x6
72
39
# multiplication 12x7
84
40
# multiplication 12x8
96
41
# multiplication what is the rule for multiplying by 12?
the number times ten plus the number times two
42
# multiplication 12x9
108
43
# multiplication what is the rule for multiplying two digit numbers by 11?
keep the outer numbers the same and the middle number is the sum of the outer two
44
# multiplication 12x11
132
45