Maths Questions For Pros

Explanation
To evaluate the sum of 9695 and 765, we add the corresponding digits starting from the rightmost place value. Adding 5 and 5 gives us 10, so we write down 0 and carry over 1. Adding the next digits, 9, 6, and 6, gives us 21. Adding the carried over 1, we get 22. We write down 2 and carry over 2. Finally, adding the remaining digits, 9 and 7, along with the carried over 2, we get 18. Therefore, the sum of 9695 and 765 is 10460.

Explanation
To round off 386457 to the nearest ten thousand, we need to look at the digit in the ten thousand place, which is 8. Since the digit to the right of 8 is 6, which is greater than or equal to 5, we need to round up. Therefore, the ten thousand place becomes 9, and all the digits to the right of it become zeros. Hence, the rounded off value of 386457 to the nearest ten thousand is 390000.

Explanation
The correct answer is 25072 because it accurately represents the written form "Twenty-five thousand and seventy-two".

Explanation
To find the difference between 612 and 203, we subtract 203 from 612. Starting from the rightmost digit, we subtract 3 from 12, which gives us 9. Then, we subtract 0 from 0, which gives us 0. Finally, we subtract 2 from 6, which gives us 4. Therefore, the correct answer is 409.

Explanation
To evaluate 655 divided by 5, we divide 655 by 5, which equals 131.

Explanation
When multiplying a number by 10, we simply move the decimal point one place to the right. In this case, 312.56 multiplied by 10 gives us 3125.60.

Explanation
The number 109 is not divisible by 2, which is the defining characteristic of an even number. Therefore, 109 is not an even number, making the statement false.

Explanation
A factor is a number that divides evenly into another number. In this case, we need to determine if 3 divides evenly into 24. To do this, we can divide 24 by 3 and check if the remainder is 0. When we divide 24 by 3, we get 8 with no remainder. Therefore, 3 is a factor of 24.

Explanation
To find the correct number that goes in the box, we need to solve the equation ___ - 24 = 53. To isolate the variable, we can add 24 to both sides of the equation. This gives us ___ = 53 + 24, which simplifies to ___ = 77. Therefore, the correct number to go in the box is 77.

Explanation
To convert a mixed number to a decimal, we first convert the fraction part to a decimal by dividing the numerator (6) by the denominator (100). This gives us 0.06. Then, we add the whole number part (3) to the decimal part, resulting in 3.06. Therefore, the correct answer is 3.06.

Explanation
The given decimal number 7.3 can be converted to a mixed number fraction by separating the whole number part and the decimal part. The whole number part is 7 and the decimal part is 0.3. Since 0.3 can be written as 3/10 (where the numerator is 3 and the denominator is 10), the fraction form of 7.3 is 7 3/10.

Explanation
The given expression is solved using the order of operations, which states that multiplication should be done before addition. Therefore, we first multiply 20 by 3, which equals 60. Then, we add 35 to 60, resulting in a total of 95.