91Ó°ÊÓ

Simplifying mathematical expressions involves breaking down complex ones into their simplest form. This makes calculations easier and helps in understanding the overall problem. In this exercise, the goal is to simplify the expression $$-1000 \div(-100)\div10$$ by performing successive divisions. It's important to remember the basic rules of division and the properties of negative numbers to correctly simplify this kind of expression.

To solve complex expressions, it's essential to break them down into a series of simpler steps. Here’s how to approach this problem step by step:
1. **Understand the Division Operation**: Division operations in an expression are performed sequentially from left to right.
2. **Perform the First Division**: Begin by dividing the first two numbers in the sequence.
\[ -1000 \div (-100) = 10 \]
The rationale here is that dividing two negative numbers results in a positive quotient.
3. **Perform the Second Division**: Take the result from the first division and divide it by the next number.
\[ 10 \div 10 = 1 \]
Completing these steps methodically ensures accurate results and a better understanding of the process.

Division is a fundamental operation in mathematics where one number, the dividend, is divided by another, the divisor, to find the quotient.
Here's a quick reminder:
1. **Positive and Negative Numbers**: Dividing two positive numbers or two negative numbers gives a positive quotient. Dividing a positive number by a negative number (or vice versa) results in a negative quotient.
2. **Order of Operations**: Always perform division operations from left to right when they appear sequentially in an expression.
Given the problem $$-1000 \div (-100)\div10$$:
The first division, $$ -1000 \div (-100) $$, results in **10** because both numbers are negative.
The second division, $$ 10 \div 10 $$, is straightforward and results in **1**. Breaking down complex operations into simple steps like this makes the process easier to follow and understand.