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Mathematics Essentials 10
Number Sense
1. Demonstrate understanding of real numbers, represent them in multiple ways, and apply to solve problems
1.2 Solving problems with rational numbers in decimal form
Rational Numbers in Decimal Form
Rational numbers written as decimals can be added, subtracted, multiplied, and divided using place-value rules.
What You'll Learn
Rational numbers as decimals either terminate or repeat.
To add or subtract decimals, line up the decimal points first.
To multiply decimals, multiply normally, then place the decimal point by counting total decimal places.
To divide decimals, shift both decimal points to make the divisor a whole number.
Word problems: 'total' suggests addition, 'left over' suggests subtraction, 'each' suggests multiplication or division.
What You'll Practice
1
Adding two negative decimal numbers
2
Subtracting positive and negative decimals
3
Multiplying decimals with mixed signs
4
Dividing decimals and converting to fractions
5
Solving real-world temperature change problems
Why This Matters
Mastering operations with rational decimals is essential for handling real-world measurements, money calculations, and temperature changes. These skills form the foundation for algebra, statistics, and science courses where precise decimal computation is required daily.
Before You Start — Make Sure You Can:
This Unit Includes
10 Video lessons
Practice exercises
Learning resources
Skills
Rational Numbers
Decimals
Number Line
Signed Numbers
Multiplication
Division
Word Problems
NS Curriculum Aligned