pdf Percent Of A Number

Tagged in 6.RP, 6th grade, finding percent of a number, multiplying decimals, multiplying fractions, percent as decimal, percent as fraction, percent greater than 100, proportional reasoning, rational numbers

Percent Of A Number

This worksheet provides structured practice finding the percent of a number using two clear strategies: converting the percent to a fraction or converting it to a decimal. A detailed model demonstrates how to solve problems such as 60% of 35 by writing \(\frac{60}{100} \times 35\) and simplifying, as well as converting 60% to 0.6 and multiplying \(0.6 \times 35\).

After reviewing both approaches, students complete 20 practice problems that include a wide range of percents and values. Examples include 45% of 60, 25% of 80, 120% of 120, 84% of 425, 8.75% of 80, 62% of 0.5, 81% of 1,200, and 1.5% of 60. The set includes whole numbers, decimals, and percents greater than 100%, reinforcing that percent represents a ratio and can exceed the original quantity.

Because students may choose either the fraction or decimal method, this resource strengthens conceptual understanding while building computational fluency. It works well as guided instruction, independent practice, homework, small-group intervention, or assessment preparation in a unit on percent of a number.


Skills Assessed

  • Finding the percent of a number

  • Converting percents to fractions

  • Converting percents to decimals

  • Multiplying decimals and fractions

  • Interpreting percents greater than 100%

  • Strengthening proportional reasoning


Classroom Use

  • Guided instruction on percent of a number

  • Independent practice

  • Homework assignment

  • Small-group remediation

  • Assessment preparation


Details

2 pages
Answer key included

ID# 0379