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Lemonade Stand Batches: Powers of 10 Patterns worksheet preview

Worksheet

Lemonade Stand Batches: Powers of 10 Patterns

Grade 5 lemonade stand practice multiplying and dividing decimals by 10, 100, 1,000, and powers like 10³, with decimal point patterns.

Grade 5MathInteractive · Printable

Aligned to5.NBT.A.2

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 5
Subject
Math
Question types
Fill in the blank, Multiple choice, Sorting, Short answer

About this worksheet

What students practice

  • Students write powers of 10 with exponents as whole numbers and as repeated factors of 10.
  • Students multiply and divide whole numbers and decimals by 10, 100, 1,000, and powers like 10³.
  • Students explain how the decimal point and the number of zeros change with each power of 10.

How to use

Use after a lesson on place value patterns. Have students write each answer on a place value chart to see how many places the digits shift.

Curriculum

Common Core standard covered

5.NBT.A.2

Explain patterns in zeros and decimal point placement when multiplying or dividing by powers of 10.

Preview

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Name Date

Lemonade Stand Batches: Powers of 10 Patterns

Make big batches and pour small cups by multiplying and dividing by powers of 10.

Powers of 10 at the stand

An exponent tells how many times 10 is used as a factor. For example, 10² = 10 × 10.

1.
The stand counts its paper cups with powers of 10. Write each power of 10 as a whole number.

10² =  
10⁵ =  

2.
Kai writes 10 × 10 × 10 × 10 to show the number of cups in a giant stack. Which is equal to 10 × 10 × 10 × 10?
  • A. 40
  • B. 10³
  • C. 10⁴
  • D. 1,000

Big batches and small cups

Multiply or divide. Think about how far each digit shifts in the place value chart.

3.
One pitcher holds 1.75 liters of lemonade. Kai fills 10 pitchers.

1.75 × 10 =   liters

4.
One lemon costs $0.48. Imani buys 100 lemons.

0.48 × 100 = $ 

5.
One scoop of sugar has a mass of 0.012 kilogram. The stand uses 10³ scoops this summer.

0.012 × 10³ =   kilograms

6.
The stand makes 36 liters of lemonade. Kai pours it equally into 100 cups.

36 ÷ 100 =   liter in each cup

7.
A bag of 10² ice cubes has a mass of 2.5 kilograms. Each ice cube has the same mass.

2.5 ÷ 10² =   kilogram for each ice cube

8.
Each jug of lemonade uses 0.6 cup of lemon juice. For the school fair, the stand uses 60 cups of lemon juice. Write the number of jugs they make.

0.6 ×   = 60

9.
Lemonade spilled on the recipe card. Write the missing exponent in the small box.

4.07 × 10  = 4,070

Spot the pattern

Look for patterns in the zeros and in where the decimal point goes.

10.
Complete the pattern.

520 ÷ 10 =  
520 ÷ 100 =  
520 ÷ 1,000 =  
520 ÷ 10⁴ =  

11.
Dana says 3.5 × 10 = 3.50 because you put a zero at the end when you multiply by 10. What is the correct product, and why?
  • A. 3.50, because a zero goes at the end.
  • B. 0.35, because each digit shifts one place to the right.
  • C. 35, because each digit shifts one place to the left.
  • D. 30.5, because a zero goes after the 3.
12.
Think about each answer. Which way does the decimal point move, and how many places? Sort each problem.
0.94 × 10061.3 ÷ 1002.5 × 10²78 ÷ 10³450 ÷ 10²39 ÷ 1,0000.07 × 10²
Moves 2 places to the rightMoves 2 places to the leftMoves 3 places to the left
13.
Imani says 0.4 × 10³ must have 3 zeros in the answer because 10³ has 3 zeros. Find 0.4 × 10³. Is Imani right? Explain.

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