Powers

Worksheets on powers, one lesson each. Powers are built from growing by multiplying and always compared with adding, and the rules are worked out from factors, not just stated.

What Powers Are

• PDFGrowing by Multiplyingfolding paper, adding the same number and multiplying by the same number · 2 pagesPRISEC
• PDFWriting and Reading Powerswriting powers, squares and cubes, comparing powers · 2 pagesPRISEC
• PDFPowers of 10base ten blocks, expanded form, multiplying by powers of 10 · 2 pagesPRISEC

Rules for Powers

• PDFMultiplying Powerswrite out the factors and count them, a million millions · 2 pagesPRISEC
• PDFDividing Powerscancelling factors, what if everything cancels · 2 pagesPRISEC
• PDFPowers with Exponent Zerostaircases, three explanations, an agreement and why it pays off · 2 pagesSEC
• PDFPowers with a Negative Exponentthe staircase below zero, dividing, cancelling when the denominator is bigger · 2 pagesSEC
• PDFSigns and Brackets(−3)² and −3², even and odd numbers of factors, order of operations · 2 pagesPRISEC
• PDFPower of a Power, a Product and a Quotientall from the factors, and why (a + b)² is not a² + b² · 2 pagesPRISEC

Very Large and Very Small Numbers

• PDFVery Large Numbersscientific notation, distances in the solar system, multiplying · 2 pagesPRISEC
• PDFVery Small Numbers and Calculatingnegative raised numbers, calculating in scientific notation, a drop of water · 2 pagesSEC

Review

• PDFPowers: Puzzles and Reviewmistake detective, guess my power, a concept map, self-check · 2 pagesPRISEC

The worksheets go with the free Powers app (starting from 1, the staircase, rules, powers of ten, practice), and for powers of 10 also Place Value Blocks. Ready-made pictures of powers for your own worksheets are in the Gallery.