What do you notice about Problem 1? What do you wonder? Circulate to see if students are successfully using strategies of their own to solve.

Learning to write numbers in expanded form is an easy way to remember the importance of each digit's placement, or its place value, in a number. Understanding Place Values Try counting up from zero: You now have two digits in the number — the 1 and the 0.

Each digit occupies a "slot" or place in the final number, and each place has a different value. The slot on the left represents tens, and the digit 1 in that slot tells you that you have one The slot on the right represents ones — the same numbers you started counting with — and the zero in that slot tells you that you don't have any extra 1s.

Place Value Examples If you keep counting, you'll notice that the digits in the ones column change first.

The next number is If you take it apart to its component place values, which is known as decomposing the number, you'll see that there is a 1 in the tens slot and a 1 in the ones slots. So you have one 10 and one 1. The next number is 12, which still has a 1 in the tens slot, but now there's a 2 in the ones slot.

Keep counting for long enough, and you'll reach 19, then Notice that now the number in the tens slot has increased to 2, but the ones slot has reset to zero. This pattern continues as you count up.

The number in the ones slot keeps increasing until it hits 9; then the tens value goes up, and the ones value resets to zero. Consider the number It has three digits, so you have a new slot or place value to deal with in a larger number.

You're already familiar with the ones place, which remains on the far right of the number; in this case, you have two 1s.

The tens place is still the next column to the left. There's a 9 there, so you have nine 10s. The next column to the left is called the hundreds column, and there's a 3 there, so you have three s.

Writing Numbers in Expanded Form Expanded form is a specific way of writing the digits of a number that you've broken into each of its component place values.

To write numbers in expanded form, you link each digit in the number to its place value with a multiplication sign. Consider the example of Reading the numbers from left to right, you start with the biggest slot, the hundreds place, which has a 3 in it.

The next slot to the right is the tens place, and there's a 9 in it. There are three pieces to this number: Connect those pieces with addition signs, and you have the number in expanded form: The Pattern of Place Values There's no limit to how big or small a number you can write in expanded form.

You just have to know the value of each place or slot in the number. Perhaps you've already noticed this pattern: The place values start with ones on the right, then for each slot you move to the left, the value is multiplied by The next slot on the left is tens is hundreds, and the place after that is thousands, followed by 10 thousands and so on.

You can even write decimals in expanded form, as long as you understand how those place values work. When you have a decimal point, the slot just to the right of the decimal is the tenths slot, the slot to the right of that is the hundredths slot and so on.

If you have the number 0. You can write that number in expanded form by multiplying each digit by its place value, then adding them together: The final step is to connect the results with addition signs: Another Example of Expanded Form Let's write another number in expanded form.* This is a pre-made sheet.

Use the link at the top of the page for a printable page. Let's take a look at a couple of examples of numbers written in scientific notation and rewrite them in expanded form.

Example 1: Write in Expanded Form. , then you learned that when you raise a whole number to a and would like to show you how to write it in scientific notation. Pay special attention to where I stop counting when I move.

Number and Operations in Base Ten Kindergarten Use whole-number exponents to denote powers of 3Read, write, and compare decimals to thousandths. aRead and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 3 4 10 7 1 3 p 1{ 10q 9p 1{ q 2p 1{ q.

Example 1: Write 2 x 2 x 2 x 2 x 2 using exponents, then read your answer aloud. Summary: Whole numbers can be expressed in standard form, in factor form and in exponential form. Exponential notation makes it easier to write a number as a factor repeatedly.

A number written in exponential form is a base raised to an exponent.

The. Place Value Through Hundred Billions Write the number shown in the place-value chart in standard, expanded, expanded with exponents, word, and short word form.

Write each number in standard form. 1. million, thousand, 3. (4 ) (4 ) (5 ). Write each number in standard form (information given is mixed up) Fill in the missing number (not in order of place value) Write each number in expanded form using exponents.

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Writing Decimals in Expanded Form | Worksheet | regardbouddhiste.com