Zmija na bajsu


Otkleni vo:
1. Izračunaj.

(a) \( \left(-\frac{4.70}{3.20}\right) \cdot \left(-\frac{4.70}{3.20}\right) \cdot \left(\frac{4.40}{1}\right) \cdot \left(\frac{4.40}{1}\right) \)

(b) \( \left(\frac{5.70}{7.60}\right) \cdot \left(\frac{5.70}{7.60}\right) \cdot \frac{1}{2} \cdot \frac{18}{50 \cdot 50} \)

(c) \( \left(-\frac{6.70}{4.90 \cdot 4.90}\right) \cdot \left(-\frac{6.70}{4.90 \cdot 4.90}\right) - \left(-\frac{-8.30}{3.60}\right) \cdot \left(-\frac{-8.30}{3.60}\right) \)

(d) \( \frac{1}{3} \cdot \left(\frac{1}{8}\right) \cdot \left(\frac{1}{8}\right) - \frac{1}{5 \cdot 5} \)

(e) \( \frac{1}{10} \cdot \frac{1}{2 \cdot 2} \cdot \frac{4 \cdot 4}{14} \)

(f) \( \frac{9}{4.80} \cdot \left(\frac{9.80}{8}\right) \cdot \left(\frac{9.80}{8}\right) \cdot \frac{5}{1.80} \)

(g) \( \left(\frac{7}{3}\right) \cdot \left(\frac{7}{3}\right) \cdot \frac{4}{2} - \frac{13 \cdot 13}{28} \)

(h) \( \frac{-5 \cdot -5}{10} \cdot \frac{1}{2} - \left(\frac{4}{4}\right) \cdot \left(\frac{4}{4}\right) \)

2. Koji od navedenih izraza ima rezultat jednak nuli?

(a) \( 10^2 \cdot 4.70 \cdot 3.20 - 4.40.5^2 \cdot \left(\frac{1}{2}\right)^2 \)
(b) \( 1 \cdot \frac{-5.70^2}{7.60} + \left(\frac{2}{3}\right)^2 \cdot 0.2 \)
(c) \( 18 \cdot \frac{-50^2}{2} + \frac{6.70^2}{4.90^2} \cdot \frac{3}{2} \cdot -8.30 \cdot \frac{-3.60^2}{12} \)
(d) \( (-3)^2 - \frac{-1}{8^2} - (-5)^2 \cdot 10^2 + 2^2 \cdot (-4)^2 - \left(\frac{-14}{2}\right)^2 \)

3. Dopuni tablicu.
x 9 4.80 9.80 8 5 1.80
y 7 3 4 2 13 28
z = x² - y²
4. Dopuni tablicu.
a b a² - b² (a - b)² a² + b² (a + b)²
5 10
2 4
4 5
7 8
-1.50 1
-0.40 -1
5. Izračunaj vrijednost izraza -x² + 3y² za zadane vrijednosti.

(a) \( x = -2, y = 2 \)
(b) \( x = -3, y = 5 \)
(c) \( x = 2, y = 3 \)
(d) \( x = -5, y = -4 \)

6. Izračunaj vrijednost izraza 2a² + b² za zadane vrijednosti.

(a) \( a = 1, b = -1 \)
(b) \( a = 5.50, b = 6 \)
(c) \( a = 2, b = -3 \)
(d) \( a = 0.80, b = 1.40 \)

(a) \( \left(-\frac{4.70}{3.20}\right) \cdot \left(-\frac{4.70}{3.20}\right) \cdot \left(\frac{4.40}{1}\right) \cdot \left(\frac{4.40}{1}\right) \)

(b) \( \left(\frac{5.70}{7.60}\right) \cdot \left(\frac{5.70}{7.60}\right) \cdot \frac{1}{2} \cdot \frac{18}{50 \cdot 50} \)

(c) \( \left(-\frac{6.70}{4.90 \cdot 4.90}\right) \cdot \left(-\frac{6.70}{4.90 \cdot 4.90}\right) - \left(-\frac{-8.30}{3.60}\right) \cdot \left(-\frac{-8.30}{3.60}\right) \)

(d) \( \frac{1}{3} \cdot \left(\frac{1}{8}\right) \cdot \left(\frac{1}{8}\right) - \frac{1}{5 \cdot 5} \)

(e) \( \frac{1}{10} \cdot \frac{1}{2 \cdot 2} \cdot \frac{4 \cdot 4}{14} \)

(f) \( \frac{9}{4.80} \cdot \left(\frac{9.80}{8}\right) \cdot \left(\frac{9.80}{8}\right) \cdot \frac{5}{1.80} \)

(g) \( \left(\frac{7}{3}\right) \cdot \left(\frac{7}{3}\right) \cdot \frac{4}{2} - \frac{13 \cdot 13}{28} \)

(h) \( \frac{-5 \cdot -5}{10} \cdot \frac{1}{2} - \left(\frac{4}{4}\right) \cdot \left(\frac{4}{4}\right) \)

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