Digit Place Value

Place Value & Multiplying/Dividing by 10

5.NBT.1 & 5.NBT.2​

By Glenn Robinson

Freckle:

Fluency

Both Bellringers​

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Recognize that in a multi-digit number, a digit in any place represents 10 times what it represents in the place to its right.

Example: In the number 2,233, the 2 in the thousands place is 10 times the 2 in the hundreds place (200 x 10 = 2,000).

The 3 in the tens place is ten times the 3 in the ones place (3 x 10 = 30) ​

Recognize that in a multi-digit number, a digit in any place represents 1/10 of what it represents in the place to its left.

Example:  In the number 5544 the 5 in the hundreds place is 1/10 the 5 in the thousands place.

The 4 in the ones place is 1/10 the 4 in the tens place.​

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Multiple Choice

In the number 2,334 the 3 in the hundreds place is __ times the 3 in the tens place

• 10

• 100

• 1/10

• 1/100

Multiple Choice

In the number 22,543 the 2 in the thousands place is__ the 2 in the ten thousands place

• 10

• 100

• 1/10

• 1/100

Add Decimals

When there is not a decimal present you can add one by placing the decimal behind the last digit you see in the number.

Example: 245 = 245.0

32 = 32.0​

Multiplying by Power of 10

​When you multiply any whole number by a power of 10 (10, 100, 100 or 10¹​, 10² , 10³ ) You add the amount of zeros you see or the amount of zeros that the exponent shows. Also you can place your decimal and move it that many places to the right.​ When you multiply a power of 10 by a decimal you move the decimal to the right depending on the number of zeros you have or by the exponent that is shown.

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Dividing by Powers of 10

When dividing a whole number or a decimal by a power of 10 you add and move your decimal to to the left based on the number of zeros you see or based off the exponent you see.​

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Multiple Choice

35 x 100

• 3,500

• 350

• 35,000

• 35

Multiple Choice

43.5 / 10²

/ m

• 4.35

• 435

• 0.435

• 43.5