5.NBT.A.1: Ten times as much to the left, a tenth as much to the right, decimals too

Recognize that in a multi-digit number, including decimals, a digit in any place represents 10 times as much as it represents in the place to its right and 1∕10 of what it represents in the place to its left.Common Core State Standards for Mathematics, as adopted in the Massachusetts Curriculum Framework for Mathematics (2017), Grade 5.

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How ColorMyMath teaches it

Past nine, color tells you which place a digit lives in. A ten is a triangle of ten dots; the number of triangles is the tens digit, so 34 is three triangles and four loose green dots.

Every page is free and open — nothing to install, no account, and it works on a phone or a classroom board. Every number has its own color: 1 red, 2 orange, 3 yellow, 4 green, 5 blue, 6 purple, 7 brown, 8 pink, 9 cyan, and a number is that many colored dots.

More Grade 5 standards in Number and Operations in Base Ten

• 5.NBT.A.2Multiply and divide by powers of 10: the zeros pattern and the moving decimal point; 10ⁿ
• 5.NBT.A.3Read, write and compare decimals to thousandths
• 5.NBT.A.4Round decimals to any place
• 5.NBT.B.5Multiply multi-digit whole numbers fluently with the standard algorithm
• 5.NBT.B.6Divide up to four digits by two digits with the area model
• 5.NBT.B.7Add, subtract, multiply and divide decimals to hundredths

ColorMyMath · getridoftheteacher.com · every number has its own color, and a number is that many colored dots. Matching a game to a standard is a judgement call; the official text is at doe.mass.edu.