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Number Forms

This week in 5th grade math, 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:                  6,789.123      

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

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

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

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

Expanded Notation can also look like this:

(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)

Either form is correct.

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