There are several important mathematical laws you need to understand to calculate accurately. In this session, I will cover most of them, but feel free to ask if you want to learn about any others that might not be included.

Mostly common mistake

2 + 6 ÷ 3 = 2 + 2 = 4 because division has a higher priority than addition

RULE # 1:

When solving mathematical expressions, certain operations must be performed before others to ensure consistent and accurate results.

For example, multiplication and division have higher priority than addition and subtraction, so they are completed first.

Parentheses or brackets take the highest priority, meaning any operation within them is carried out before anything else.

Understanding these rules helps prevent confusion and errors, especially in complex equations. By following the correct order—parentheses, exponents, multiplication and division, then addition and subtraction—mathematicians ensure clarity and precision in problem-solving.

RULE #2:

When multiplying a number by 10, 100, 1000, and so on, the process is straightforward because these numbers are powers of ten. To multiply by 10, simply add one zero to the end of the original number.

For example, 25 multiplied by 10 becomes 250. Similarly, multiplying by 100 means adding two zeros, so 25 times 100 equals 2500. For 1000, add three zeros, turning 25 into 25,000.

This pattern continues with larger powers of ten—each zero added corresponds to the number of zeros in the multiplier.

This method works for whole numbers and decimals alike, but with decimals, the decimal point moves to the right by as many places as there are zeros in the multiplier.

For instance, 3.5 multiplied by 100 becomes 350. This technique simplifies calculations and helps understand the place value system better.

RULE #3:

Rules for Dividing by 10, 100, and 1000

• Dividing by 10:

• Move the decimal point one place to the left.
• Example: 250 ÷ 10 = 25.0

• Dividing by 100:

• Move the decimal point two places to the left.
• Example: 250 ÷ 100 = 2.50

• Dividing by 1000:

• Move the decimal point three places to the left.
• Example: 250 ÷ 1000 = 0.250

CONCLUSION

Understanding the rules is just as important as knowing the traffic laws that keep us safe on the road. Just like following traffic signs helps prevent accidents and ensures everyone gets where they need to go smoothly, knowing the rules in any area of life helps us navigate challenges with confidence and ease. When we take the time to learn and respect these guidelines, we set ourselves up for success and avoid unnecessary pitfalls. So, think of rules as your friendly roadmap—they’re there to guide you safely and help you make the best decisions every step of the way.