Decimal Operations and Real-World Applications

Understand digit place values up to the millions place and represent multi-digit whole numbers in standard, word, and expanded forms.

Compare, order, and position large numbers on number lines, and use place value concepts to solve mental math problems and real-world scenarios.

Round whole numbers and decimals to estimate calculation results and verify reasonableness.

Select and apply efficient mental and written strategies to solve multi-step addition and subtraction problems.

Multiply and divide multi-digit whole numbers using mental strategies, standard algorithms, and interpret remainders.

Identify factors, multiples, prime numbers, square numbers, and apply divisibility rules to solve problems.

Apply the rules for order of operations (BODMAS / PEMDAS) and use algebraic thinking to solve number sentences.

Understand numbers below zero, position them on number lines, and solve real-world problems involving negative values.

Understand tenths, hundredths, and thousandths in fraction and decimal form, and compare and order decimals up to three decimal places.

Add, subtract, multiply, and divide decimal numbers and apply these operations to solve everyday metric and money problems.

Generate equivalent fractions, simplify to lowest terms, and compare and order common fractions.

Show and convert equivalent forms of fractions, decimals, and percentages, and select preferred forms to solve problems.

Solve everyday contextual problems involving fractions of amounts, percentage discounts, and decimal measurements.

Compare prices across retailers, calculate unit rates, analyze special offers, and determine purchase affordability.

Understand bank accounts, debit vs credit cards, PIN security, cash withdrawals, and create balanced personal budgets.