Soal Matematika Kelas 6 Sd Bab 1 Bilangan Bulat

Explanation
The given expression involves addition, subtraction, and negation. First, we add 241 and 25, which gives us 266. Then, we subtract -37, which is equivalent to adding 37, resulting in 303. Finally, we subtract 204 from 303, giving us the final answer of 99.

Explanation
The given expression involves addition and subtraction of numbers. When we perform the operations according to the order of operations (PEMDAS), we first add the positive numbers and subtract the negative number. Then, we add the resulting numbers. So, -45 + 78 + 256 - 87 = 202. Therefore, the correct answer is 202, not 46.

Explanation
The given expression involves addition, multiplication, and subtraction. Following the order of operations, we first perform the multiplication: 40 x 21 = 840. Then, we perform the addition: 124 + 840 = 964. Finally, we subtract 345 from 964: 964 - 345 = 619. Therefore, the correct answer is 619.

Explanation
The given expression involves subtraction, division, and multiplication. First, subtracting 125 from 1.325 gives 1.200. Then, dividing 1.200 by 5 gives 240. Finally, multiplying 240 by 16 gives the result of 3.840. Therefore, the correct answer is 3.840.

Explanation
To find the value of n, we need to solve the equation 75 + 20 - n = 135. By rearranging the equation, we can isolate n by subtracting 75 and 20 from both sides, which gives us -n = 40. To solve for n, we need to multiply both sides of the equation by -1, resulting in n = -40. Therefore, the correct answer to replace the letter n in the given calculation is -35.

Explanation
The initial room temperature is 18°C. During the day, the temperature increases by 5°C, so it becomes 18°C + 5°C = 23°C. At night, the temperature decreases by 7°C, so it becomes 23°C - 7°C = 16°C. Therefore, the final room temperature is 16°C.

Explanation
Santi bought 15 packs of chocolate candies and gave 3 packs to her child. The remaining packs were distributed among 10 neighbors. Since each pack contains 85 candies, the total number of candies is 15 x 85 = 1275. After giving 3 packs to her child, there are 15 - 3 = 12 packs left. Each neighbor will receive 12 / 10 = 1.2 packs of candies. Since it is not possible to distribute 0.2 of a pack, each neighbor will receive 1 pack, which contains 85 candies. Therefore, each neighbor will receive a total of 1 x 85 = 85 candies.

Explanation
The initial temperature of the room is -5°C. The temperature of the room increases by 3°C every half an hour. To find the final temperature after 4 hours, we need to calculate the number of half-hour intervals in 4 hours, which is 8 intervals. Multiplying the temperature increase per interval (3°C) by the number of intervals (8), we get a total temperature increase of 24°C. Adding this to the initial temperature (-5°C), we get a final temperature of 19°C.

Explanation
There are 12 boxes in the truck, and each box contains 12 jars. Each jar contains 12 sponge cakes. To find the total number of sponge cakes, we multiply the number of boxes (12) by the number of jars in each box (12) and then multiply that by the number of sponge cakes in each jar (12). Therefore, the total number of sponge cakes is 12 x 12 x 12 = 1,728.

Explanation
The correct answer is 3.375. This is because 15 cubed means multiplying 15 by itself three times. So, 15 x 15 x 15 equals 3,375.

Explanation
The given expression involves adding the cubes of 6, 5, and 9 and then subtracting the cube of 9. When we calculate 6^3, we get 216. Similarly, 5^3 is equal to 125. And 9^3 is equal to 729. So, the expression becomes 216 + 125 - 729. Adding 216 and 125 gives us 341. Subtracting 729 from 341 gives us -388. Therefore, the correct answer is -388.

Explanation
The given expression involves subtraction and exponentiation. First, we calculate the cube of 7, which is 343. Then, we calculate the cube of 10, which is 1000. Finally, we subtract 343 from 1000 and get the result of 657. Therefore, the correct answer is 2.425.

Explanation
The correct answer is ³√729 because when you take the cube root of 729, you get 9.

Explanation
The given expression involves multiplying the cube root of 343 with the cube root of 1.331. The cube root of 343 is 7 because 7 x 7 x 7 = 343. The cube root of 1.331 is approximately 1.103 because 1.103 x 1.103 x 1.103 is approximately equal to 1.331. Multiplying these two values together gives us approximately 7.7. Therefore, the correct answer is 77.

Explanation
The given expression involves a combination of addition, exponentiation, and division. First, we need to calculate the values inside the parentheses. The cube root of 3375 is 15, and 5 cubed is 125. Adding these two values gives us 140. Then, we divide 140 by 10, which equals 14. Therefore, the result of the given expression is 14.

Explanation
√512 = 8 ³√1.728 = 1.2 ³√8.000 = 20
Now, substitute these values into the expression:
8 × 1.2 + 20 = 9.6 + 20 = 29.6
So, ³√512 × ³√1.728 + ³√8.000 equals 29.6.

Explanation
The given answer is the prime factorization of 1,000. It shows that 1,000 can be expressed as the product of prime numbers, specifically 2 raised to the power of 3 and 5 raised to the power of 3. This is the correct factorization of 1,000.

Explanation
The KPK (Least Common Multiple) of 15 and 6 is 30. The KPK is the smallest number that is divisible by both 15 and 6. In this case, 30 is the smallest number that can be divided evenly by both 15 and 6, making it the correct answer.

Explanation
The correct answer is 90 because KPK stands for "Kelipatan Persekutuan Terkecil" in Indonesian, which translates to "Least Common Multiple" in English. To find the least common multiple of 5, 9, and 6, we need to find the smallest number that is divisible by all three numbers. The prime factorization of 5 is 5, of 9 is 3^2, and of 6 is 2 * 3. Taking the highest power of each prime factor, we get 5 * 3^2 = 45. Therefore, the least common multiple of 5, 9, and 6 is 45.

Explanation
The answer is 15 because the greatest common divisor (GCD) of 60 and 75 is 15. The GCD is the largest number that divides both numbers without leaving a remainder. In this case, 15 is the largest number that divides both 60 and 75 evenly.

Explanation
The correct answer is 16 because 16 is the highest common factor of 32, 64, and 80. To find the highest common factor (HCF) or greatest common divisor (GCD) of these numbers, we can list their factors and find the largest number that divides all three numbers without leaving a remainder. The factors of 32 are 1, 2, 4, 8, 16, and 32. The factors of 64 are 1, 2, 4, 8, 16, 32, and 64. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. The largest number that appears in all three lists is 16, so it is the HCF or GCD.

Explanation
The first alarm goes off every 6 hours, the second alarm goes off every 8 hours, and the third alarm goes off every 4 hours. To find the time when all three alarms will go off together, we need to find the least common multiple (LCM) of 6, 8, and 4. The LCM of 6, 8, and 4 is 24. Therefore, the alarms will go off together every 24 hours.

Explanation
Panji memiliki total 100 kelereng putih, 45 kelereng hitam, dan 50 kelereng kuning. Panji ingin membaginya ke dalam wadah-wadah yang berisi 3 jenis kelereng dengan jumlah yang sama. Kita dapat mencari faktor dari jumlah total kelereng yang bisa dibagi dengan 3, yaitu 195 (100 + 45 + 50). Faktor dari 195 adalah 1, 3, 5, 13, 15, 39, 65, dan 195. Namun, Panji hanya memiliki 100 kelereng putih, sehingga kita harus memilih faktor yang lebih kecil dari 100. Hanya faktor 1, 3, 5, dan 15 yang memenuhi syarat ini. Oleh karena itu, jumlah wadah yang bisa digunakan Panji adalah 5.

Explanation
Riska, Bayu, and Yoga will have their training sessions on the same day every 30 days. This can be determined by finding the least common multiple (LCM) of the given intervals between their training days. The LCM of 3, 2, and 5 is 30. Therefore, they will meet and train together every 30 days.