Getal & Ruimte (13e editie) - 2 vwo

'Rekenen met kwadraten'.

1 vwo 6.1 Kwadraten

Rekenen met kwadraten (8)

opgave 1

Bereken.

1p

a

\(9^{2}\)

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

a

\(9^{2} = 81 \text{.}\)

1p

1p

b

\(-(-14)^{2}\)

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

b

\(-(-14)^{2} = -196 \text{.}\)

1p

2p

c

\(-(-3)^{2} - 5 ⋅ -2^{2}\)

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

c

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

1p

○

\(-9 + 20 = 11\)

1p

2p

d

\(-4 + (9 - 3)^{2} : 9\)

Rekenvolgorde (5)
00fb - Rekenen met kwadraten - basis - 2ms - data pool: #130 (1ms)

d

\(-4 + (9 - 3)^{2} : 9 = \text{}\)
\(-4 + 6^{2} : 9 = \text{}\)
\(-4 + 36 : 9 = \text{}\)

1p

○

\(-4 + 4 = 0\)

1p

opgave 2

Bereken.

2p

a

\(8^{2} : 2 - (4 - 9)^{2} ⋅ 3\)

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

a

\(8^{2} : 2 - (4 - 9)^{2} ⋅ 3 = \text{}\)
\(8^{2} : 2 - (-5)^{2} ⋅ 3 = \text{}\)
\(64 : 2 - 25 ⋅ 3 = \text{}\)

1p

○

\(32 - 75 = -43\)

1p

1p

b

\(-2 ⋅ (-5)^{2}\)

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

b

\(-2 ⋅ (-5)^{2} = \text{}\)
\(-2 ⋅ 25 = -50\)

1p

1p

c

\((-4 ⋅ 5)^{2}\)

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

c

\((-4 ⋅ 5)^{2} = \text{}\)
\((-20)^{2} = 400\)

1p

1p

d

\(4^{2} + (2 - 3^{2})\)

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

d

\(4^{2} + (2 - 3^{2}) = \text{}\)
\(16 + (2 - 9) = \text{}\)
\(16 + (-7) = 9\)

1p
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