Hello there! 13,814 rounded to the nearest ten thousand is 10,000.
Examples of factors of 10,000 are:
• 10,000
• 20,000
• 30,000
• 40,000
• 50,000
and so on. Because the number we are dealing with is 13,814, we know that the ten thousands digit (the 1 to the left of 3) is between 1 and 2. Thus, 13,814 is between 10,000 and 20,000. When rounding, we often consider the common rule:
If the digit to the left of the digit you are rounding is 0, 1, 2, 3, or 4, you round down. If the digits are 5, 6, 7, 8, or 9, you would round up. Given that rule:
The digit to the left of 1 is 3, meaning we would round down.
13,814 rounded to the nearest ten thousand is 10,000. If you need any extra help, let me know and I will gladly assist you.
Taking the general equation ax² + bx + c, by middle term splitting, "b" should be splitted such that the numbers either on adding or on subtracting must be equal to "b" and their products must be equal to "a x c".
For example, in the question it's already given that the equation 8x² + bx + c is middle term splitted into 8x² + px + qx + 3.
So, that means "p x q" must be equal to "8 x 3", i.e., 24.