Getal & Ruimte (13e editie) - 1 havo/vwo

'Rekenen met kwadraten'.

1 havo/vwo 6.1 Kwadraten

Rekenen met kwadraten (8)

opgave 1

Bereken.

1p

a

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

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

a

\((-3)^{2} = 9 \text{.}\)

1p

1p

b

\(-(-5)^{2}\)

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

b

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

1p

2p

c

\(-5^{2} - 4 ⋅ 2^{2}\)

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

c

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

1p

○

\(-25 - 16 = -41\)

1p

2p

d

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

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

d

\(6 + (2 - 8)^{2} : 2 = \text{}\)
\(6 + (-6)^{2} : 2 = \text{}\)
\(6 + 36 : 2 = \text{}\)

1p

○

\(6 + 18 = 24\)

1p

opgave 2

Bereken.

2p

a

\(-8^{2} : 2 - (3 - 9)^{2} ⋅ 6\)

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

a

\(-8^{2} : 2 - (3 - 9)^{2} ⋅ 6 = \text{}\)
\(-8^{2} : 2 - (-6)^{2} ⋅ 6 = \text{}\)
\(-64 : 2 - 36 ⋅ 6 = \text{}\)

1p

○

\(-32 - 216 = -248\)

1p

1p

b

\(4 ⋅ (-5)^{2}\)

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

b

\(4 ⋅ (-5)^{2} = \text{}\)
\(4 ⋅ 25 = 100\)

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

\(5^{2} + (2 - 6^{2})\)

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

d

\(5^{2} + (2 - 6^{2}) = \text{}\)
\(25 + (2 - 36) = \text{}\)
\(25 + (-34) = -9\)

1p
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