2 ESO - Natural (N) and integer (Z) numbers

Sexagesimal system

400

Express in simple form:

91º 34' 42'' 

329682''

400

Express in simple form:

1d 4h 32s

100832 s

450

Express in complex form:

1.000 s

16min 40s

500

Express in complex form:

10.000''

2º 46' 40''

500

Express in complex form

1.000.000 s

11d 13h 46min 40s

Divisibility

400

Find the prime number: 

242, 537, 979, 997 and 889.

997

400

Find the first multiple of 17 greater than 4567.

4573

450

Calculate the prime factor decomposition of 8100.

2^2·3^4·5^2

500

L.C.M.(15, 35 and 49)

735

500

Two ships leave a port; the first every four days and the second every seven days. If you went out together on August 25, what day will you go out together again?

September 22

Additions and subtractions

400

+4-3-3-2+1+2-4+2-9+0

-12

400

+5+10+15-20-25-30

-45

450

(-4)+(+2)-(+5)-(-3)+(-9)

-13

500

(-5+2)-(7-10)-(4-5-6)=

7

500

Pythagoras was born about 582 BC. Isaac Newton was born in 1643 AD. How many years apart were they born.?

They were born 2225 years apart.

Combined operations

400

(-30): (6) - (3)·(-2) =

1

400

(-20): (-10) + (-5)· (-3) =

17

450

(4-8):2-(9-12):3=

-1

500

20 : ( 15-5)- [ 3- (2+7-1) +3 ] =

4

500

7–2·[2-3-3·(2+8)-2+13]-4 =

43

Powers and roots

400

Calculate 

(-3)^4·(-3)^5:(-3)^7

9

400

Calculate

-2^10

-1024

450

Calculate

-sqrt(-169)

It doesn't exist in 

\mathbb{R}

500

Calculate

(-5)^20:5^17=

125

500

Calculate

[(-20)^6:(10)^6]·[(-25)^6:(-5)^6]=

1.000.000