$power of ten math$

#Power of ten math series#
#Power of ten math free#

Have students complete the sort before filling in the Powers of Ten Chart. If you think the POWERS_OF_TEN array literal initialiser is ugly (I agree), there is a shorter and possibly less error-prone way: private static final long POWERS_OF_TEN = IntStream. Strategies for Differentiation Create a sort including powers of ten, expanded forms, and products. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point. So #2 array lookup is the fastest, confirming the accepted answer is correct. PowerOfTenBenchmark.switchLookup thrpt 15 461.318 ± 4.941 ops/us PowerOfTenBenchmark.arrayLookup thrpt 15 515.684 ± 10.056 ops/us This makes the process very visual and easy for students to manipulate. PowerOfTenBenchmark.mathPow thrpt 15 24.134 ± 32.132 ops/us This activity is designed for use with 5th and 6th grade students and features a metric conversion method using a base ten place value chart. Here is the JMH benchmark code: private static final long POWERS_OF_TEN = Īnd (drumroll.) here are the results: Benchmark Mode Cnt Score Error Units Look up in a hard-coded switch statement.

Look up in an array, as per the accepted answer.I tested the performance of three approaches using JMH: See Also Table of Squares, Cubes, Perfect Fourths & Fifths. Where N is negative, this indicates the number of decimal places before the number.

#Power of ten math free#

A free teacher account also allows you to create playlists of games and assignments for students and track class progress.This question is quite old, but for people landing here from a search, I hope this is useful. NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the. Where N is positive, this indicates the number zeros after the number. You can access all of the games on Legends of Learning for free, forever, with a teacher account. Some powers of 10 are: 10 x 10 x 10 x 10 x 10 100 000 (ten times ten times ten times ten times ten equals one hundred thousand). When finding the value of ten to a power, 10 n, use 10 as a factor n times. A number can be expressed as a single digit multiplied by a power of 10 by counting the place values until you arrive to the right of a single digit and use the number of place values to be the power of 10.Ī preview of each game in the learning objective is found below. are created by multiplying tens together. When multiplying like bases, keep the base and add exponents. Use powers of 10 to determine estimates for problems. Convert and compare numbers written in scientific and standard notation.

Examples of simple math using scientific notation. Again the base number is 10 but now 3 is the exponent it equals 10 x 10 x 10 The third power ten is 1000. Verse 1 The base number is 10 2 is the exponent 10 to the second means 10 x 10 This power of ten is 100. Concepts CoveredĬompare numbers written in scientific notation. in American English, 1 x 1012 one thousand million in British English. To find a power of ten Look at the exponent Take your pencil and then Multiply that many tens. Scroll down for a preview of this learning objective’s games and the concepts. We've supplied worksheets in both standard form and exponent form. Negative powers of ten refers to 0.1, 0.01, and 0.001. The list starts with the value n -1 (sequence value 0.1) and continues with another nineteen members up to the value at n -20 (number 0.00000000000000000001). Positive powers of ten refers to 10, 100, and 1,000. This learning objective directly references 8.EE.A.3 as written in the common core national math standards. A decimal fraction is a power of ten value with a negative power, or in mathematical notation its in the form 10-n or 1/10n.

The Powers Of Ten learning objective - based on CCSS and state standards - delivers improved student engagement and academic performance in your classroom, as demonstrated by research.

#Power of ten math series#

In this series of games, your students will learn to use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities. Topic: Describing the concept of negative exponents for powers of.