How is an estimating The quotient helps you place the first digit in the Quotient of a division problem

If the first digit is less than the divisor, then the first digit of the quotient will be in the hundreds place. If the first digit is greater than or equal to the divisor, then the first digit of the quotient will be in the thousands place

why do most shcools teach every student hthe same thing

@man man with a sack of 2 nuts

just why

Estimating the quotient can help you place the first digit in the quotient of a division problem because it provides a rough idea of what the answer should be. By estimating the quotient, you are mentally approximating the result of the division problem by using compatible numbers or rounding. Here's how to do it:

1. Identify the dividend and the divisor in the division problem. The dividend is the number being divided, and the divisor is the number that divides the dividend.

2. Round both the dividend and the divisor to a compatible number. For example, if the dividend is 524 and the divisor is 8, you can round them to 520 and 10, respectively, which are compatible numbers.

3. Perform the division mentally using the rounded numbers. Divide the rounded dividend by the rounded divisor to get an estimate of the quotient. In this example, 520 divided by 10 is 52.

4. Determine the place value of the quotient you are estimating. For example, if you are estimating the tens digit in the quotient, the place value is the tens place.

5. Compare the estimated quotient to the original division problem. If the estimated quotient seems too low or too high, adjust it accordingly. Consider the remainder (if any) and the decimal places (if applicable).

6. Finally, place the estimated digit as the first digit in the quotient at the appropriate place value.

Remember, estimating the quotient is just an initial step to get an approximate answer. You will still need to perform the actual division to obtain the precise quotient.