INTEGER NUMBERS, POWERS AND SQUARE ROOTS
Name:_____________________________________________________________
1. Put these numbers in order from the smallest to the largest on the number line.
-3, +2, op(+1),
, 0 , op(-4),
, -2
2. Solve in a reasoned way.
a) Water is being heated in a saucepan at a certain temperature. We increase the
temperature by 22 degrees and after that; it drops 7 degrees, arriving at a final
temperature of 31 degrees. What was the initial temperature of the water?
b) The faucet of a fountain stopped working and 3 litres of water were lost every
hour. When it was fixed, 78 litres of water in total had been lost. How many
hours was the faucet out of order for?
3. Solve the following removing the brackets:
a) 5 – ( 4 – 6 ) =
4. Solve the following:
b) 20  (–5 + 10) – (15 – 30) =
a)
b)
c)
d) +20  (+20) : (8 + 10) =
e)
f)
5. Use the properties of the powers to write the following expressions as a single
power and solve.
a) (2)5 ∙ (+5)5 =
b) (+20)4 : (–2) 4 =
c) (5)8 : (5)6 =
d) (2)3 ∙ (2)2 =
e) (–102)3 =
6. Use the properties of the powers to write the following expressions as a single
power and solve.
a)
b)
c)
d)
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7. Calculate:
a) Un número cuya raíz cuadrada entera es 308 y cuyo resto es 136.
b) La raíz entera y el resto
9. Solve
a) A farm has a surface of 1600 m2. If we wish to build a fence around it, how many
metres of fencing are required?
b) How many square floor tiles with a half metre side are required to cover a square
court with a 10m side?
10. VOCABULARY
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ADDITION
CUBED
INTEGER
POSITIVE
QUOTIENT
BASE
DIVISION
MULTIPLICATION
POWER
ROOT
BRACKETS
INDEX
NEGATIVE
PRODUCT
SQUARED
SUBTRACTION
SUM
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