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Number Forms

This week we are covering reading, writing, and expanding multi-digit numbers with decimals in a variety of forms.  Last year, we learned how to write them in standard, expanded, unit (base ten), and word form.  This year, we are introducing Expanded Notation form.  

When learning how to write in expanded notation, students must have a secure understanding of the place values system.  They also must know that when they see () in an equation, it means to multiply.  For example, let's break down the number 6,789.123 in word, expanded, expanded notation, unit, and standard form.

Standard Form:                  6,789.123      

Word Form: six thousand, seven hundred eighty-nine and one hundred twenty-three thousandths

Unit Form : 6 thousands, 7 hundreds 8 tens 9 ones 1 tenths 2 hundredths 3 thousandths

Expanded Form: 6,000 + 700 + 80 + 9 + .1 + .02 + .003

Expanded Notation Form: (6 x 1,000) + (7 x 100) + (8 x 10) + (9 x 1) + (1 x 1/10) + (2 x 1/100) + (3 x 1/1000) 

or like this

(6 x 1,000) + (7 x 100) + (8 x 10) + (9 x 1) + (1 x .1) + (2 x .01) + (3 x .001)

It can even look like this with parentheses:

6(1,000) + 7(100) + 8(10) + 9(1) + 1(1/10) + 2(1/100) + 3(1/1000)

All forms are correct it just depends on how the question wants you to represent the number.

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