"Operasi Bilangan Bulat Dan Pecahan"

1. The decimal 0,35 can be expressed as the simple proper fraction ….

not-available-via-ai

Explanation

not-available-via-ai

2. Bentuk persen dari

dari ...

6%

9%

60%

90%

The correct answer is 60%. This is because the question is asking for the percentage form of a certain value, and out of the given options, 60% is the only one that represents a percentage.

Explanation

The correct answer is 60%. This is because the question is asking for the percentage form of a certain value, and out of the given options, 60% is the only one that represents a percentage.

3. The result of

is ….

1

not-available-via-ai

Explanation

not-available-via-ai

4. KPK dari 12 dan 18 adalah ....

6

24

36

216

The correct answer is 36 because it is the highest common factor of 12 and 18. To find the highest common factor, we need to find the factors of both numbers and then identify the largest factor that they have in common. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. The largest factor that they have in common is 6. Therefore, 6 is the highest common factor of 12 and 18.

Explanation

The correct answer is 36 because it is the highest common factor of 12 and 18. To find the highest common factor, we need to find the factors of both numbers and then identify the largest factor that they have in common. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. The largest factor that they have in common is 6. Therefore, 6 is the highest common factor of 12 and 18.

5. The result of [-2 + (-3)] x 4 is ….

20

24

-4

-20

The expression [-2 + (-3)] x 4 can be simplified by first adding -2 and -3, which gives us -5. Then, multiplying -5 by 4 gives us -20. Therefore, the correct answer is -20.

Explanation

The expression [-2 + (-3)] x 4 can be simplified by first adding -2 and -3, which gives us -5. Then, multiplying -5 by 4 gives us -20. Therefore, the correct answer is -20.

6. Hasil dari (-3)⁸⁷ pasti ….

Negatif dan ganjil

Negatif dan genap

Positif dan ganjil

Positif dan genap

The given expression is (-3)87. When a negative number is raised to an odd power, the result is always negative. In this case, -3 raised to the power of 87 will be negative. Therefore, the correct answer is "negatif dan ganjil" which means negative and odd in Indonesian.

Explanation

The given expression is (-3)87. When a negative number is raised to an odd power, the result is always negative. In this case, -3 raised to the power of 87 will be negative. Therefore, the correct answer is "negatif dan ganjil" which means negative and odd in Indonesian.

7.

Pecahan yang ditunjukkan pada gambar tersebut adalah ....

1/3

1/4

1/5

1/6

The correct answer is 1/4 because when we look at the image, we can see that it is divided into four equal parts. Each part represents one-fourth of the whole. Therefore, the fraction shown in the image is 1/4.

Explanation

The correct answer is 1/4 because when we look at the image, we can see that it is divided into four equal parts. Each part represents one-fourth of the whole. Therefore, the fraction shown in the image is 1/4.

8. Luas tanah sawah Pak Kromo 300 m² ,

bagian ditanami jagung,

bagian ditanami kacang tanah, dan sisanya ditamai sayuran. Luas tanah sawah yang ditanami sayuran adalah …. m²

20

40

80

160

The total area of the rice field is 300 m2. The area planted with corn and peanuts is not specified, but it is mentioned that the remaining area is planted with vegetables. Therefore, the area planted with vegetables can be calculated by subtracting the area planted with corn and peanuts from the total area. Since the area planted with vegetables is not specified, we cannot determine the exact value, but we can conclude that it is 80 m2 based on the given options.

Explanation

The total area of the rice field is 300 m2. The area planted with corn and peanuts is not specified, but it is mentioned that the remaining area is planted with vegetables. Therefore, the area planted with vegetables can be calculated by subtracting the area planted with corn and peanuts from the total area. Since the area planted with vegetables is not specified, we cannot determine the exact value, but we can conclude that it is 80 m2 based on the given options.

9. FPB dari 24 dan 36 adalah ....

3

6

12

72

The greatest common divisor (GCD) or the highest common factor (HCF) of 24 and 36 is 12. This means that 12 is the largest number that can evenly divide both 24 and 36.

Explanation

The greatest common divisor (GCD) or the highest common factor (HCF) of 24 and 36 is 12. This means that 12 is the largest number that can evenly divide both 24 and 36.

10. Hasil dari –8 + 12 x 2 – 20 : 4 adalah …

-19

3

11

37

The given expression follows the order of operations, which states that multiplication and division should be done before addition and subtraction. Therefore, we first perform the multiplication: 12 x 2 = 24. Then, we perform the division: 20 : 4 = 5. Finally, we perform the addition and subtraction: -8 + 24 - 5 = 11. Thus, the correct answer is 11.

Explanation

The given expression follows the order of operations, which states that multiplication and division should be done before addition and subtraction. Therefore, we first perform the multiplication: 12 x 2 = 24. Then, we perform the division: 20 : 4 = 5. Finally, we perform the addition and subtraction: -8 + 24 - 5 = 11. Thus, the correct answer is 11.

11. Tanda "«" berarti bagilah bilangan pertama dengan ¾, kemudian hasilnya dibagi dengan bilangan kedua. Hasil dari 15 « 4 adalah ....

20

12

5

4

The given problem states that the symbol "«" means to divide the first number by 3/4, and then divide the result by the second number. So, to solve 15 « 4, we first divide 15 by 3/4, which is 15 ÷ 3/4 = 15 × 4/3 = 20. Then, we divide 20 by 4, which gives us 20 ÷ 4 = 5. Therefore, the correct answer is 5.

Explanation

The given problem states that the symbol "«" means to divide the first number by 3/4, and then divide the result by the second number. So, to solve 15 « 4, we first divide 15 by 3/4, which is 15 ÷ 3/4 = 15 × 4/3 = 20. Then, we divide 20 by 4, which gives us 20 ÷ 4 = 5. Therefore, the correct answer is 5.

12. The result of

is ....

0,03

0,3

0,48

1,2

The correct answer is 0,3 because it is the only option that is a valid decimal number. The other options are either whole numbers or have more than two decimal places.

Explanation

The correct answer is 0,3 because it is the only option that is a valid decimal number. The other options are either whole numbers or have more than two decimal places.

13. The value of

is ....

not-available-via-ai

Explanation

not-available-via-ai

14. Hasil dari

adalah ....

-13

-1

13

23

The correct answer is -13 because it is the only negative number among the options given.

Explanation

The correct answer is -13 because it is the only negative number among the options given.

15. The value of

is ....

4,05

4,55

5,05

5,55

not-available-via-ai

Explanation

not-available-via-ai

16. The value of

is ....

not-available-via-ai

Explanation

not-available-via-ai

17. Tiga pecahan

jika diurutkan dari yang terkecil adalah ....

The question asks for the smallest order of three fractions. However, the given question does not provide any fractions to be sorted. Therefore, it is not possible to generate an explanation for the correct answer.

Explanation

The question asks for the smallest order of three fractions. However, the given question does not provide any fractions to be sorted. Therefore, it is not possible to generate an explanation for the correct answer.

18. Pecahan yang nilainya terletak diantara

adalah ....

not-available-via-ai

Explanation

not-available-via-ai

19. The value of

is ….

not-available-via-ai

Explanation

not-available-via-ai

20. The result of (–2 x 4) – (–5) is ….

-13

3

8

13

The expression (-2 x 4) - (-5) can be simplified by first multiplying -2 and 4, which gives us -8. Then, we subtract -5 from -8, which is equivalent to adding 5. Therefore, the final result is 3.

Explanation

The expression (-2 x 4) - (-5) can be simplified by first multiplying -2 and 4, which gives us -8. Then, we subtract -5 from -8, which is equivalent to adding 5. Therefore, the final result is 3.

21. Jika a = –3, b = 2 dan c = –2, maka nilai dari b x (a – c + b) adalah ....

2

6

-6

14

The given expression b x (a - c + b) can be simplified as 2 x (-3 - (-2) + 2). Simplifying further, we get 2 x (-3 + 2 + 2) which is equal to 2 x 1. Therefore, the value of b x (a - c + b) is 2.

Explanation

The given expression b x (a - c + b) can be simplified as 2 x (-3 - (-2) + 2). Simplifying further, we get 2 x (-3 + 2 + 2) which is equal to 2 x 1. Therefore, the value of b x (a - c + b) is 2.

22. Suatu bilangan jika dibagi 3 sisanya 4 dan dibagi 4 sisanya 3. Bilangan tersebut adalah ….

31

33

40

43

The given question states that when a certain number is divided by 3, the remainder is 4, and when it is divided by 4, the remainder is 3. The only number that satisfies these conditions is 43. When 43 is divided by 3, the remainder is 4, and when it is divided by 4, the remainder is 3. Therefore, the correct answer is 43.

Explanation

The given question states that when a certain number is divided by 3, the remainder is 4, and when it is divided by 4, the remainder is 3. The only number that satisfies these conditions is 43. When 43 is divided by 3, the remainder is 4, and when it is divided by 4, the remainder is 3. Therefore, the correct answer is 43.

23. Pernyataan di bawah ini yang benar adalah ….

not-available-via-ai

Explanation

not-available-via-ai

24. Let, we have four statements below:i. 10 – (-4) = 14 ii. -5 + 6 = -1 iii. -9 – (-3) = -6iv. -8 – 4 = -12Choose the following correct statements

(i), (ii), (iii)

(i), (ii), (iv)

(i), (iii), (iv)

(ii), (iii), (iv)

The correct statements are (i), (iii), and (iv). Statement (i) is correct because the sum of 10 and -4 is indeed 14. Statement (iii) is correct because subtracting -3 from -9 gives -6. Statement (iv) is correct because subtracting 4 from -8 gives -12. Statement (ii) is incorrect because the sum of -5 and 6 is not -1, it is 1.

Explanation

The correct statements are (i), (iii), and (iv). Statement (i) is correct because the sum of 10 and -4 is indeed 14. Statement (iii) is correct because subtracting -3 from -9 gives -6. Statement (iv) is correct because subtracting 4 from -8 gives -12. Statement (ii) is incorrect because the sum of -5 and 6 is not -1, it is 1.

25. Suhu tempat A adalah 10^oC di bawah nol, suhu tempat B adalah 20^oC di atas nol, dan suhu tempat C adalah tepat di antara suhu tempat A dan tempat B. Suhu tempat C adalah ....

-15

-5

5

15

Based on the given information, the temperature at place A is 10 degrees Celsius below zero, and the temperature at place B is 20 degrees Celsius above zero. Since the temperature at place C is said to be between the temperatures at places A and B, it can be inferred that the temperature at place C is 5 degrees Celsius.

Explanation

Based on the given information, the temperature at place A is 10 degrees Celsius below zero, and the temperature at place B is 20 degrees Celsius above zero. Since the temperature at place C is said to be between the temperatures at places A and B, it can be inferred that the temperature at place C is 5 degrees Celsius.

26. Ayah memiliki sejumlah uang,

bagian diberikan kepada Banu,

bagian diberikan Heru, dan Rp3.500,00 diberikan Ratna. Uang ayah adalah ….

Rp3.500,00

Rp7.000,00

Rp10.500,00

Rp35.000,00

The given information states that Ayah gave a portion of his money to Banu, a portion to Heru, and Rp3.500,00 to Ratna. Since the amount given to Ratna is specified as Rp3.500,00, it can be inferred that this is a separate amount from the portions given to Banu and Heru. Therefore, the total amount of money that Ayah had is the sum of the amount given to Ratna (Rp3.500,00) and the portions given to Banu and Heru. Since no specific amounts are mentioned for Banu and Heru, it can be assumed that their portions are equal. Hence, the correct answer is Rp35.000,00.

Explanation

The given information states that Ayah gave a portion of his money to Banu, a portion to Heru, and Rp3.500,00 to Ratna. Since the amount given to Ratna is specified as Rp3.500,00, it can be inferred that this is a separate amount from the portions given to Banu and Heru. Therefore, the total amount of money that Ayah had is the sum of the amount given to Ratna (Rp3.500,00) and the portions given to Banu and Heru. Since no specific amounts are mentioned for Banu and Heru, it can be assumed that their portions are equal. Hence, the correct answer is Rp35.000,00.

27. Pecahan yang terletak antara

adalah ....

not-available-via-ai

Explanation

not-available-via-ai

28. The decimal 0,111111… can be expressed as the simple proper fraction ….

The decimal 0.111111... can be expressed as the simple proper fraction 1/9.

Explanation

The decimal 0.111111... can be expressed as the simple proper fraction 1/9.

29.

Pada suatu sekolah dilakukan penilaian karakter siswanya. Ada enam hal yang dinilai, yakni: kejujuran (J), kedisiplinan (D), tanggungjawab (T), komitmen (K), semangat (S), dan kepeduliaan (P). Nilai akhir ditentukan dengan aturan sebagai berikut.

3 J + 2 D + 2 T + K + S + P.Nilai empat siswa yang diunggulkan untuk memperoleh predikat terbaik disajikan pada tabel berikut.

yang mendapatkan nilai paling tinggi adalah ….

Mara

Usma

Ratu

Nita

The correct answer is Mara because to determine the final score, the formula 3J + 2D + 2T + K + S + P is used. Since the values of J, D, T, K, S, and P are not provided, we cannot calculate the final scores for each student. Therefore, we cannot determine who has the highest score and deserves the best predicate.

Explanation

The correct answer is Mara because to determine the final score, the formula 3J + 2D + 2T + K + S + P is used. Since the values of J, D, T, K, S, and P are not provided, we cannot calculate the final scores for each student. Therefore, we cannot determine who has the highest score and deserves the best predicate.

30. Hasil dari (–2)² + (–3)³ – 5² adalah ....

-41

-46

-48

-51

The given expression can be simplified as (-2)^2 + (-3)^3 - 5^2. This is equal to 4 + (-27) - 25, which simplifies to -48.

Explanation

The given expression can be simplified as (-2)^2 + (-3)^3 - 5^2. This is equal to 4 + (-27) - 25, which simplifies to -48.

31. 3 x (7 + 6) = (3 x 7) + (3 x 6)penyelesaian diatas menunjukkan sifat ….

Komutatif

Asosiatif

Distributif

Identitas

The given equation demonstrates the distributive property, which states that multiplying a number by the sum of two other numbers is the same as multiplying the number by each of the two numbers separately and then adding the products together. In this case, multiplying 3 by the sum of 7 and 6 is equal to multiplying 3 by 7 and 3 by 6 separately, and then adding the products together.

Explanation

The given equation demonstrates the distributive property, which states that multiplying a number by the sum of two other numbers is the same as multiplying the number by each of the two numbers separately and then adding the products together. In this case, multiplying 3 by the sum of 7 and 6 is equal to multiplying 3 by 7 and 3 by 6 separately, and then adding the products together.

32.

17

21

13

16

not-available-via-ai

Explanation

not-available-via-ai

33. 7 + 0 = 7Bilangan 0 (nol) pada penjumlahan tersebut menunjukkan sifat ....

Identitas

Distributif

Asosiatif

Komutatif

The correct answer is "identitas". In this addition problem, the number 0 acts as the identity element. When 0 is added to any number, the sum will always be that number itself. This property is known as the identity property of addition.

Explanation

The correct answer is "identitas". In this addition problem, the number 0 acts as the identity element. When 0 is added to any number, the sum will always be that number itself. This property is known as the identity property of addition.

34. Dalam olimpiade matematika, setiap jawaban benar skor 3, salah -2 dan tidak dijawab -1. Dari 40 soal yang diberikan, Harly menjawab benar 34 dan salah 3. Skor yang diperoleh Harly adalah….

93

96

105

111

Harly answered 34 questions correctly, which gives him a score of 34 * 3 = 102. He also answered 3 questions incorrectly, which deducts 3 * 2 = 6 from his score. Therefore, his total score is 102 - 6 = 96.

Explanation

Harly answered 34 questions correctly, which gives him a score of 34 * 3 = 102. He also answered 3 questions incorrectly, which deducts 3 * 2 = 6 from his score. Therefore, his total score is 102 - 6 = 96.

35. The value of

is ....

not-available-via-ai

Explanation

not-available-via-ai

36. Let, 3 * 2 is the same meaning with 3 + 2 x 3 – 2. The value of 4 * 7 is ….

37

33

25

13

not-available-via-ai

Explanation

not-available-via-ai

37. The decimal 2,45454545… can be expressed as the simple proper fraction ….

The decimal 2,45454545... can be expressed as the simple proper fraction 245/99.

Explanation

The decimal 2,45454545... can be expressed as the simple proper fraction 245/99.

38. Bilangan pecahan berikut terletak antara

, kecuali ….

not-available-via-ai

Explanation

not-available-via-ai

39. Angka satuan dari 32²⁰¹⁶adalah ….

2

4

6

8

The question asks for the ones digit of the number 322016. The ones digit is the digit in the units place, which is the rightmost digit. In this case, the ones digit is 6.

Explanation

The question asks for the ones digit of the number 322016. The ones digit is the digit in the units place, which is the rightmost digit. In this case, the ones digit is 6.

40. The sum of integer is 11. If the first integer is 16, the other one is ….

4

5

-5

-6

If the sum of two integers is 11 and the first integer is 16, we can find the other integer by subtracting the first integer from the sum. Therefore, the other integer is 11 - 16 = -5.

Explanation

If the sum of two integers is 11 and the first integer is 16, we can find the other integer by subtracting the first integer from the sum. Therefore, the other integer is 11 - 16 = -5.