Løsning del 1 utrinn Vår 10

Oppgave 1

a)334 + 465 = 799

b) 854 - 328 = 526

c)<tex> 4,3 \cdot 7 = 30,1</tex>

d) 264 :4 = 66

Oppgave 2

a) <tex>2,5t = 2,5 \cdot 60 min = 150 min</tex>

b)<tex>4,7mil = 4,7\cdot 10 km = 47km</tex>

c)<tex>2,3 liter = 2,3\cdot 10 desiliter = 23 desiliter</tex>

d)6250 g = 6250 : 1000 kg = 6,250kg

Oppgave 3

a) <tex>3^2 +2(5-4) = 9 + 2 = 11 </tex>

a) <tex>-1^2 \cdot 3(-2)^3 = -1 \cdot 3(-8) = 24 </tex>

Oppgave 4

a) <tex> \frac{8}{13} + \frac{4}{13} = \frac{8 + 4}{13} =\frac{12}{13} </tex>

b) <tex> \frac{5}{6} - \frac{2}{3} = \frac{5}{6} - \frac{4}{6}=\frac{1}{6} </tex>

c) <tex> \frac{7}{9} \cdot \frac{1}{2} = \frac{7 \cdot 1}{9 \cdot 2}=\frac{7}{18} </tex>

d) <tex> 6:\frac{3}{10} = 6 \cdot \frac{10}{3}=\frac{6 \cdot 10}{3} = 20 </tex>

Oppgave 5

a)

<tex>4x+7 = 47 \\

4x=47-7 \\ 4x=40 \\ \frac{4x}{4}= \frac {40}{4} \\ x=4

</tex>

b)

<tex>\frac x2 =\frac x3 +1 \\6 \cdot \frac x2 = 6 \cdot \frac x3 + 6 \cdot 1 \\3x = 2x +1 \\x=1</tex>