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

A

24

21
Q

multiplication

6x7

A

42

22
Q

multiplication

6x8

A

48

23
Q

multiplication

6x9

A

54

24
Q

multiplication

what is the rule for multiplying by 9?

A

multiply the number by 10 and subtract the number

25
Q

multiplication

7x6

A

42

26
Q

multiplication

7x8

A

56

27
Q

multiplication

7x9

A

63

28
Q

multiplication

8x4

A

32

29
Q

multiplication

8x6

A

48

30
Q

multiplication

8x7

A

56

31
Q

multiplication

8x9

A

72

32
Q

multiplication

9x4

A

36

33
Q

multiplication

9x6

A

54

34
Q

multiplication

9x7

A

63

35
Q

multiplication

9x8

A

72

36
Q

multiplication

12x3

A

36

37
Q

multiplication

12x4

A

48

38
Q

multiplication

12x6

A

72

39
Q

multiplication

12x7

A

84

40
Q

multiplication

12x8

A

96

41
Q

multiplication

what is the rule for multiplying by 12?

A

the number times ten plus the number times two

42
Q

multiplication

12x9

A

108

43
Q

multiplication

what is the rule for multiplying two digit numbers by 11?

A

keep the outer numbers the same and the middle number is the sum of the outer two

44
Q

multiplication

12x11

A

132

45
Q
A