Getal & Ruimte (13e editie) - 2 vwo

'Rekenen met kwadraten'.

1 vwo 6.1 Kwadraten

Rekenen met kwadraten (8)

opgave 1

Bereken.

1p

a

\(11^{2}\)

Kwadraat (1)
0072 - Rekenen met kwadraten - basis - 0ms

a

\(11^{2} = 121 \text{.}\)

1p

1p

b

\(-8^{2}\)

Kwadraat (2)
0073 - Rekenen met kwadraten - basis - 0ms

b

\(-8^{2} = -64 \text{.}\)

1p

2p

c

\(-(-3)^{2} - 4 ⋅ -5^{2}\)

Rekenvolgorde (3)
00fa - Rekenen met kwadraten - basis - 0ms

c

\(-(-3)^{2} - 4 ⋅ -5^{2} = \text{}\)
\(-9 - 4 ⋅ -25 = \text{}\)

1p

○

\(-9 + 100 = 91\)

1p

2p

d

\(-2 + (10 - 7)^{2} : 3\)

Rekenvolgorde (5)
00fb - Rekenen met kwadraten - basis - 3ms - data pool: #130 (2ms)

d

\(-2 + (10 - 7)^{2} : 3 = \text{}\)
\(-2 + 3^{2} : 3 = \text{}\)
\(-2 + 9 : 3 = \text{}\)

1p

○

\(-2 + 3 = 1\)

1p

opgave 2

Bereken.

2p

a

\(-9^{2} : 3 - (2 - 7)^{2} ⋅ 5\)

Rekenvolgorde (6)
00fc - Rekenen met kwadraten - basis - 2ms - data pool: #14 (1ms)

a

\(-9^{2} : 3 - (2 - 7)^{2} ⋅ 5 = \text{}\)
\(-9^{2} : 3 - (-5)^{2} ⋅ 5 = \text{}\)
\(-81 : 3 - 25 ⋅ 5 = \text{}\)

1p

○

\(-27 - 125 = -152\)

1p

1p

b

\(3 ⋅ (-4)^{2}\)

Rekenvolgorde (1)
00fd - Rekenen met kwadraten - basis - 0ms

b

\(3 ⋅ (-4)^{2} = \text{}\)
\(3 ⋅ 16 = 48\)

1p

1p

c

\((2 ⋅ -5)^{2}\)

Rekenvolgorde (2)
00fe - Rekenen met kwadraten - basis - 0ms

c

\((2 ⋅ -5)^{2} = \text{}\)
\((-10)^{2} = 100\)

1p

1p

d

\(3^{2} + (8 - 6^{2})\)

Rekenvolgorde (4)
00ff - Rekenen met kwadraten - basis - 0ms

d

\(3^{2} + (8 - 6^{2}) = \text{}\)
\(9 + (8 - 36) = \text{}\)
\(9 + (-28) = -19\)

1p
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