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ÖĞRETEN SORULARIN ÇÖZÜMLERİ Tam Sayılarla Çarpma ve Bölme İşlemleri 9. 8 – (–3) = 11 10. (2 · 5 – 3) · 4 = 28
ÇARPANLAR VE KATLAR 1. a) –24, b) 21, c) –72, d) –35, e) –72, f) –105 ÖĞRETEN SORULARIN ÇÖZÜMLERİ
2. a) 2, b) –5, c) –4, d) –7, e) 42, f) 0 RASYONEL SAYILAR
Tam Sayılarla Toplama ve Çıkarma
İşlemleri 3. a) –32, b) –3, c) –24, d) 24, e) 36, f) –4, g) 60, Rasyonel Sayı ve Sayı Doğrusu
1. a) 5, b) –13, c) –3, d) 10, e) –1, f) 4, g) 3, h) 9, ı) –9, i) –65, j) –75, k) 5 1. a, b, c, e, f, g, h → ✔ d → ✖
h) –11, ı) 3, i) –13, j) –2, k) 7, l) 16, m) –6 4. a) 2. = –8 ▲ = –13, –13 – (–8) = –5
+ – + – – – 6
n) –30 + – + – – – 3. N → 0, 13, , 2, 5
3
6
2. + – + – – – Z → –5, 0, 13, –4, , 2, 5
–5 3
b) 3 6
–10 5 Q → –5, , 0, 13, –4, 3,14, , 2, 5
– – – – – – – – 4 3
–7 –3 8 – – – – – – – – 5 - 2
– – – – – – – – 4. - , (2 tanesi)
–2 –5 2 6 – – – – – – – – 3 8
– – – – – – – –
5. a)
3. a) c) –1 –3 0
– – – – – – 5
–6 –5 –4 –3 –2 –1 0 – – – – – – b) 0 1
2
3
b) d) c)
+ + + + + + + + + + –3 1 –2
–6 –5 –4 –3 –2 –1 0 –2
+ + + + + + + + + + 4
d)
–4 –3
4. a) –1, b) 16, c) 5, d) –20, e) –15, f) 9, g) 30, 5. a) 27, b) 1, c) –6, d) 0 – 17
5
)
h) 7, ı) –14, i) –16, j) 0, k) 52 6. a) –9, b) –15, c) –32, d) –25, e) 36, f) –18 6. a 2 2 ) b - 3 1 ) c - 2 2 ) d - 3 1
3
3
3
2
5. –18 + 8 – 6 = –16 12 - 22 - 10 1
7. = =+ 1 7. - 1 8. –5 ile –6 arasındadır.
2
8
6. –18 – 16 + 4 = –30 -- 2 - 10 16 - 15 - 22
8. (–20) + (–24) + 12 = –32 9. - , , (3 tane)
Toplama İşleminin Özellikleri 5 4 7
Tam Sayıların Kuvveti Ondalık Gösterim
1. a) 47, b) –25, c) –48, d) –39, e) 75, f) –15
1. a) 8, b) 64, c) 81, d) –216, e) 25, f) 625, 1. a) 0,36, b) 0,5, c) 3,6, d) 0,26, e) 0,6, f) 3,25,
2. a) 15, b) 17, c) –24, d) –37, e) –3, f) 8, g) –65, g) –125, h) –36, ı) –64, i) –1, j) –32, k) –81 g) 2,25, h) 0,35, ı) 0,96
h) 47, 2. a) –16, b) 16, c) –16, d) 16, e) 1, f) –81, 2. a) 0,5, b) 1,4, c) 0,04, d) 0,34, e) 0,3, f) 0,09,
g) –1, h) 1, ı) 49, i) –243, j) 0, k) –1 g) 0,072, h) 0,09, ı) 0,432, i) 0,25
3. 9
3. a) 20, b) 12, c) 16, d) 8, e) 36, f) –20, 8 65 55 245
4. (+5) – (–8) = 13 3. a ) 10 ) b - 100 ) c - 10 ) d 100
4. 1) –f, 2) –d, 3) –ı, 4) –a, 5) –h, 6) –b, 7) –i, 8) –c
5. 16 12 24 314
5
+ –3 –7 +5 5. –10 = –100000 (6 basamaklı) ) e 10 ) f 10 ) g - 1000 ) h 100
–8 –11 –15 –3 6. (–5)² – (–3)³ = 52 7. 8 5 4 - 75 184
ı) ý) ) i - ) j ) k
6 3 –1 11 1 2 2 3 6 6 10000 100 100 10
8. 64 , 8 , (–8) , 4 , 2 , (–2) 6 farklı değer alır.
–4 –7 –11 1 4. Mor= 0,05, Yeşil= 0,2, Kırmızı= 0,25, Mavi= 0,5
9. (–10)² (1 tane) 1
6. 12 + (–14) + (–15) = –17 Tam Sayılarla Problem Çözme 5. - 5 4 =- , 525 6. 9 7. 0,36
7. 1. 3 · 23 – 4 · 4 – 1 · 3 = 50
– –3 8 –6 2. 1800 + 1500 – 2200 = 1100 Devirli Ondalık Gösterim
2 5 –6 8 3. 40 ÷ 5 = 8 4. 20
1. a) 0,õ6, b) –0,õ3, c) 0,õ4õ5, d) 0,1õ6, e) 1,õ5õ4,
–5 –2 –13 1 5. –5 –4 –3 = –12 6. Kayseri f) 1,õ4, g) 0,õ6õ3, h) –8,õ3, ı) –1,õ2
4 7 –4 10 7. 108 ÷ 3 = 36
2. 0,3õ8 3. –2,õ3
8. Yavuz = 7, Ömer = –11 (–7) + (+11) = 4 8. 5 · (–5) · 3 · (–3) · 4 · (–4) = –3600 4. a) 0,õ6, b) 0,õ6, c) 0,õ4
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