Number, Indices and Standard Form

Round whole numbers and decimals to a specified place value and use the rounded values to estimate calculation results.

Perform the four arithmetic operations with positive and negative decimals using efficient mental or written methods.

Write a positive integer as a product of prime factors using factors, multiples, and divisibility tests.

Calculate the highest common factor and lowest common multiple of two integers from their prime factorizations.

Simplify numerical expressions involving squares, cubes, roots, and positive integer indices.

Evaluate numerical expressions involving zero, negative, and fractional indices.

Convert very large and very small numbers between ordinary notation and standard form using powers of ten.