Power Up

Worksheet Description

This worksheet is a collection of multiplication problems set in the context of scientific notation, a system used to express very large or very small numbers efficiently. Students are given pairs of numbers written in scientific notation and are tasked with multiplying them, paying attention to the multiplication of the coefficients and the addition of the exponents. The objective is for them to not only carry out the multiplication correctly but also to express the product in proper scientific notation. Each problem challenges students to apply the rules of exponents consistently to arrive at a simplified answer.

The worksheet aims to solidify students’ skills in working with scientific notation, a form of expressing numbers that is especially useful in science and engineering. It reinforces the understanding that when numbers in scientific notation are multiplied, their powers of ten combine additively, while their coefficients multiply normally. Students practice precision in their calculations, ensuring that the final answer remains in scientific notation, which often involves adjusting the coefficient to be greater than or equal to 1 and less than 10. Mastery of these exercises helps students become more comfortable with very large or very small numbers and prepares them for real-world applications where scientific notation is frequently used.