Getal & Ruimte (13e editie) - 1 vwo

'Rekenen met kwadraten'.

1 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

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

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

b

\(-(-6)^{2} = -36 \text{.}\)

1p

2p

c

\(-5^{2} + 2 ⋅ -4^{2}\)

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

c

\(-5^{2} + 2 ⋅ -4^{2} = \text{}\)
\(-25 + 2 ⋅ -16 = \text{}\)

1p

○

\(-25 - 32 = -57\)

1p

2p

d

\(-2 - (7 - 3)^{2} : 4\)

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

d

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

1p

○

\(-2 - 4 = -6\)

1p

opgave 2

Bereken.

2p

a

\(6^{2} : 3 + (7 - 4)^{2} ⋅ 5\)

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

a

\(6^{2} : 3 + (7 - 4)^{2} ⋅ 5 = \text{}\)
\(6^{2} : 3 + 3^{2} ⋅ 5 = \text{}\)
\(36 : 3 + 9 ⋅ 5 = \text{}\)

1p

○

\(12 + 45 = 57\)

1p

1p

b

\(5 ⋅ -4^{2}\)

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

b

\(5 ⋅ -4^{2} = \text{}\)
\(5 ⋅ -16 = -80\)

1p

1p

c

\((-4 ⋅ -3)^{2}\)

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

c

\((-4 ⋅ -3)^{2} = \text{}\)
\(12^{2} = 144\)

1p

1p

d

\(5^{2} - (9 - 3^{2})\)

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

d

\(5^{2} - (9 - 3^{2}) = \text{}\)
\(25 - (9 - 9) = \text{}\)
\(25 + -0 = 25\)

1p
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