1. in the number 854,263,189 what number tells the number of thousands? Is the answer 3?

2.round 16,851 to the nearest thousand. 17,000 is this correct?
3.Evaluate 260/(4^3 + 1)= 260/65=4 is this correct?

They are all correct! :-)

1. In the number 854,263,189, the digit in the thousands place is 3. Yes, you are correct that the number 3 represents the number of thousands.

To determine the number in the thousands place, we need to understand the place value system. In the given number, each place value to the left of the decimal point represents a power of 10. Starting from the right, the first digit to the left of the decimal point is in the ones place, the next digit is in the tens place, then comes the hundreds place, and so on.

To find the number in the thousands place, we count three places to the left of the decimal point. In this case, the digit in the thousands place is indeed 3.

2. To round the number 16,851 to the nearest thousand, we examine the digit in the hundreds place. In this case, the digit in the hundreds place is 5.

When rounding to the nearest thousand, if the digit in the hundreds place is 5 or greater, we round up. If it is less than 5, we round down.

Since the digit in the hundreds place is 5, we round up. Thus, the rounded value of 16,851 to the nearest thousand is 17,000. Therefore, your answer is correct.

3. To evaluate the expression 260/(4^3 + 1), we need to follow the order of operations, which is commonly known as PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction).

In this case, we start by evaluating the exponent 4^3, which equals 4 * 4 * 4 = 64. Then, we add 1, resulting in 64 + 1 = 65.

Now, we divide 260 by 65, giving us 4. Therefore, your answer of 4 is indeed correct.

When working through such expressions, it is crucial to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.