Arithmetic and Number Properties Flashcards Preview

GRE - KAK > Arithmetic and Number Properties > Flashcards

Flashcards in Arithmetic and Number Properties Deck (41)
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1

Fraction for 1.5

3/2

2

Fraction for 1.25

5/4

3

Fraction for 1.2

6/5

4

Prime numbers 1-10?

2, 3, 5, 7

5

Prime numbers 30-40

31, 37

6

Prime numbers 71-80

71, 73, 79

7

12 x 12

144

8

13 x 13

169

9

14 x 14

196

10

15 x 15

225

11

16 x 16

256

12

(xn)(xm)

xn+m

13

xm

______

Xn

xm-n

14

x0

1 (unless x =0)

15

(xn)m

xn*m

16

X-n

1

----------

Xn

17

(xy)n

xnyn

18

(a/b)n

an

-----------

bn

19

True or false, it is legal to distribute exponents over addition and subtraction

FALSE: it is NOT legal to distribute exponents over addition and subtraction. Exponents can only be distributed over multiplication and divsion. 

20

If xn=xm what must be true?

n=m

21

What are the possible unit digits for a number ending in 7 to a power

7, 9, 3, 1

22

How do you solve a units digit question

1) Figure out the repeating pattern and it's period for powers of the unit digit of the number in question

2) Look at the power of the number. The power will be a multiple of one of the positions in the period (1, 2, 3, or 4, depedning on the period for that units digit)

3) use this information to figure out how the pattern continues (e.g. If it is a multiple of 3 then it would be association with the unit digit of the 4th position in the period) 

23

What are the possible unit digits for a number ending in 2 to a power?

2, 4, 8, 6

24

What are the possible unit digits for a number ending in 3 to a power?

3, 9, 7, 1

25

What are the possible unit digits for a number ending in 4 to a power?

4, 6

26

Which numbers have unit digit patterns of themselves?

0, 1, 5, 6

27

What are the possible unit digits for a number ending in 7 to a power?

7, 9, 3, 1

28

What are the possible unit digits for a number ending in 8 to a power?

8, 4, 2, 6

29

What are the possible unit digits for a number ending in 9 to a power?

9, 1

30

On the GRE, when do you include both the positive and the negative square root?

If the radical sign is written as part of the question by the test makers, the only consider positive square roots.

 

If you yourself take the square root as one of the steps to solving a problem, then you must consider BOTH positive and negative square roots.