Getal & Ruimte (13e editie) - 2 havo/vwo

'Rekenen met kwadraten'.

1 havo/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

\(-11^{2}\)

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

b

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

1p

2p

c

\(-(-4)^{2} + 2 ⋅ 3^{2}\)

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

c

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

1p

○

\(-16 + 18 = 2\)

1p

2p

d

\(-5 + (10 - 7)^{2} : 3\)

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

d

\(-5 + (10 - 7)^{2} : 3 = \text{}\)
\(-5 + 3^{2} : 3 = \text{}\)
\(-5 + 9 : 3 = \text{}\)

1p

○

\(-5 + 3 = -2\)

1p

opgave 2

Bereken.

2p

a

\(6^{2} : 4 + (7 - 3)^{2} ⋅ 8\)

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

a

\(6^{2} : 4 + (7 - 3)^{2} ⋅ 8 = \text{}\)
\(6^{2} : 4 + 4^{2} ⋅ 8 = \text{}\)
\(36 : 4 + 16 ⋅ 8 = \text{}\)

1p

○

\(9 + 128 = 137\)

1p

1p

b

\(5 ⋅ (-3)^{2}\)

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

b

\(5 ⋅ (-3)^{2} = \text{}\)
\(5 ⋅ 9 = 45\)

1p

1p

c

\((2 ⋅ 3)^{2}\)

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

c

\((2 ⋅ 3)^{2} = \text{}\)
\(6^{2} = 36\)

1p

1p

d

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

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

d

\(9^{2} - (3 - 4^{2}) = \text{}\)
\(81 - (3 - 16) = \text{}\)
\(81 - (-13) = 94\)

1p
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