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Patterns in Products with Many Zeros

Answer Keys Here

Aligned To Common Core Standard:

Grade 5 Base Ten - 5.NBT.2

What is Meant by Powers of Ten? Ever imagined how billions and trillions would have looked if written? Imagine having to work with complex and complicatedly large and writing them down over and over. The thought alone is tiring, isn't it? Also, writing down all those zeros is a bit intimidating. However, the introduction of the power system has made it easy to deal with big numbers. Using powers as abbreviations of such large numbers is the best way to solve even the most difficult of problems. In mathematics, the power is a positive integer that represents the number of times the number has been multiplied by itself. Here it is important to keep in mind that these power integers can be negative as well as positive. According to the definition, number one represents the zeroth power of ten. First few results of non-negative powers of ten are: 10 to the power zeroth = 1, 10 to the power 1 = 10, 10 to the power 2 = 100, 10 to the power 3 = 1,000, 10 to the power 4 = 10,000, 10 to the power 5 = 100,000 The easiest way to convert these abbreviated numbers is to move the decimal to the right side, which is always before the number if not placed anywhere else. In case of negative power integers, move the decimal to the left to get the answer.

Printable Worksheets And Lessons

Homework Sheets

Remember to count the exponents as extra zeroes. That should make it a quicker task for you.

  • Homework 1 - How do you write 2.3 x 10^2
  • Homework 2 - Multiply 10 x .6
  • Homework 3 - Find the missing numbers. ______ x 3 = 6, _____ x 3 =60, _____ x 3 = 600

Practice Worksheets

We delve a bit into expanded form and products here to add a bit more difficulty.

Math Skill Quizzes

I constantly see these skills as main stays of the fifth grade curriculum, an important skill to master.