Soal Ujian Matematika Kelas 6 Sd/Mi (Kode 1)

Explanation
The given equation demonstrates the distributive property of multiplication over addition. According to this property, when multiplying a number by the sum of two other numbers, we can distribute the multiplication to each term inside the parentheses. In this case, we can multiply 5 by both 12 and 25 separately and then add the products together to get the same result as multiplying 5 by the sum of 12 and 25.

Explanation
The given equation (25 x 10) x 34 = 25 x (n x 34) can be solved by simplifying the left side first. 25 multiplied by 10 equals 250, and then 250 multiplied by 34 equals 8500. On the right side, we have 25 multiplied by n, which equals 25n, and then 25n multiplied by 34 equals 850n. Since both sides of the equation are equal to 8500, we can conclude that n must be equal to 10.

Explanation
The given expression can be simplified using the order of operations, which states that multiplication and division should be performed before addition and subtraction. First, we calculate the product of -14 and -12, which equals 168. Then, we add 5 to 168, resulting in 173. Therefore, the correct answer is 173, not 152.

Explanation
To solve this expression, we need to follow the order of operations, which is parentheses, then multiplication and division, and finally addition and subtraction. In this case, we have a subtraction inside the parentheses, so we need to solve that first. The expression -5 - (-9) becomes -5 + 9, which is equal to 4. Then, we divide 4 by 3, resulting in 4/3. Since this is not a whole number, we round it down to the nearest whole number, which is 1. Therefore, the correct answer is 1.

Explanation
The correct answer is 64.370. To find the solution, we need to first subtract 3670 from 5240, which equals 1570. Then, we multiply this result by 41, giving us 64,370. Therefore, the correct answer is 64.370.

Explanation
The greatest common divisor (GCD) or the highest common factor (HCF) of the numbers 36, 42, and 48 is 6. This means that 6 is the largest number that divides evenly into all three of these numbers.

Explanation
The KPK (Least Common Multiple) of the numbers 51, 68, and 85 is 1,020. This means that 1,020 is the smallest multiple that all three numbers can divide evenly into.

Explanation
Based on the given information, the mother has 32 apples and 48 oranges. To make each gift box with the same contents, the mother needs to use both apples and oranges. The least common multiple of 32 and 48 is 96. Therefore, the mother can make 96 gift boxes, each containing one apple and one orange.

Explanation
The number 729 is a cubic number because it can be expressed as the cube of an integer, which is 9. 729 = 9^3. The other numbers listed, 717, 720, and 734, are not cubic numbers as they cannot be expressed as the cube of any integer.

Explanation
The correct answer is 1.728. This is because it is the only number in the given options that falls within the range of 1,500 to 2,000 and is a perfect cube.