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

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

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

b

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

1p

2p

c

\(-(-4)^{2} - 5 ⋅ 3^{2}\)

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

c

\(-(-4)^{2} - 5 ⋅ 3^{2} = \text{}\)
\(-16 - 5 ⋅ 9 = \text{}\)

1p

○

\(-16 - 45 = -61\)

1p

2p

d

\(8 + (10 - 6)^{2} : 2\)

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

d

\(8 + (10 - 6)^{2} : 2 = \text{}\)
\(8 + 4^{2} : 2 = \text{}\)
\(8 + 16 : 2 = \text{}\)

1p

○

\(8 + 8 = 16\)

1p

opgave 2

Bereken.

2p

a

\(6^{2} : 3 + (5 - 9)^{2} ⋅ 4\)

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

a

\(6^{2} : 3 + (5 - 9)^{2} ⋅ 4 = \text{}\)
\(6^{2} : 3 + (-4)^{2} ⋅ 4 = \text{}\)
\(36 : 3 + 16 ⋅ 4 = \text{}\)

1p

○

\(12 + 64 = 76\)

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

\((-5 ⋅ 4)^{2}\)

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

c

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

1p

1p

d

\(7^{2} - (4 - 9^{2})\)

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

d

\(7^{2} - (4 - 9^{2}) = \text{}\)
\(49 - (4 - 81) = \text{}\)
\(49 - (-77) = 126\)

1p
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