5th Grade Place Value and Powers of Ten Worksheet Answer Key (PDF)

5th grade powers of ten worksheet answers – Maths PDF

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This 5th grade powers of ten worksheet answers covers place value and powers of ten (Common Core 5.NBT.A.1, 5.NBT.A.2), with a free PDF to print.

Key takeaway: This answer key helps fifth grade students and parents check powers of ten work and see each shift.

Topic: Place Value and Powers of Ten (5th grade)
Content: Step-by-step answers to 20 worksheet problems
Standards: 5.NBT.A.1, 5.NBT.A.2
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fifth grade students and parents check powers of ten work and see each shift. Also, each solution names the number of places the digits move, the direction, and the exponent or answer.

The key covers all 20 problems, including the exponents in problems 9 and 10, the missing exponents in problem 13, and the explanation for Mei in problem 19. Then, word problem answers use full sentences with units. Also, if your answer differs, check the direction of the move. Then, plan about 15 minutes to compare and fix your work.

This answer key explains how the decimal point moves in each of the 20 problems. Multiplying by 10, 100 or 1,000 moves the point right 1, 2 or 3 places. Dividing moves it left. Count the zeros or read the exponent to know how many places to move.

Grade 5 · Common Core State Standards: 5.NBT.A.1, 5.NBT.A.2

5th grade powers of ten worksheet answers: worksheet problems 1 to 10

1 – Tens and hundreds

The 7 in the thousands place is worth 7,000. The 7 in the hundreds place is worth 700.

$7{,}000\div700=10$.

Answer: 10 times

2 – One tenth

The 4 in the hundreds place is 400. The 4 in the tens place is 40.

$40\div400=\frac{1}{10}$.

Answer: $\frac{1}{10}$

3 – Compare digits in 3.33

The 3 in the ones place is worth 3. The 3 in the tenths place is worth 0.3.

$3\div0.3=10$.

Answer: 10 times

3 is 10 times 0.3.

4 – Multiply by 10

Multiplying by 10 moves the decimal point 1 place right.

(a) 37 (b) 4.6 (c) 520

5 – Divide by 10

Dividing by 10 moves the decimal point 1 place left.

(a) 45 (b) 6.3 (c) 0.8 (d) 0.25

6 – Multiply by 100

Multiplying by 100 moves the decimal point 2 places right.

(a) 600 (b) 38 (c) 450 (d) 7

One place left.

7 – Divide by 100

Dividing by 100 moves the decimal point 2 places left.

(a) 72 (b) 5.3 (c) 0.09 (d) 0.465

Two places right.

Worksheet problem 8 and after

8 – Multiply by 1,000

Multiplying by 1,000 moves the decimal point 3 places right.

(a) 900 (b) 3,250 (c) 12,000 (d) 4

9 – Write the exponent

Count the zeros. The number of zeros is the exponent.

(a) 100 has 2 zeros: $10^{2}$

(b) 10,000 has 4 zeros: $10^{4}$

10 – Evaluate powers of 10

(a) 10

(b) $10\times10\times10$ = 1,000

Worksheet problems 11 and up

11 – Multiply by powers of 10

(a) Move 2 places right: 420

(b) Move 3 places right: 67

(d) Move 1 place right: 5

10^5 = 100,000.

12 – Divide by powers of 10

(a) Move 2 places left: 8.4

(b) Move 3 places left: 0.006

(d) Move 3 places left: 9

10^5 = 100,000.

13 – Missing exponent

(a) 3.4 to 3,400 is 3 places right: 3

(b) 0.056 to 56 is 3 places right: 3

(d) 15 to 0.015 is 3 places left: 3

14 – Missing number

(a) 8,500 is 85 moved 2 places: 85

(b) 62 to 0.62 is 2 places left: 2

(d) 0.9 to 90 is 2 places right: 2

15 – Pencil boxes

$10^{3}$ = 1,000 pencils and $10^{2}$ = 100 pencils per box.

$10^{3}\div10^{2}=1{,}000\div100=10$.

So, the store filled 10 boxes.

16 – Line of ants

Multiply by 100: $0.3\times100=30$.

So, the line is 30 inches long.

Worksheet problem 17 and after

17 – Weekly savings

10 weeks: $2.35\times10=23.5$, so $\$23.50$.

100 weeks: $2.35\times100=235$, so $\$235$.

18 – Crayon cartons

Boxes: $6{,}000\div100=60$.

Cartons: $60\div10=6$.

Answer: 60 boxes and 6 cartons

19 – Mei's product

Mei added zeros but did not move the decimal point. Multiplying by 100 moves the point 2 places right.

$0.35\times100=35$.

Correct product: 35

20 – Bake sale quarters

Total: $0.25\times10^{2}=0.25\times100=25$, so $\$25$.

One tenth: $25\div10=2.5$.

Diego gives $\$2.50$ to the shelter.

Key facts behind this 5th grade powers of ten worksheet answers

Key facts

Each place is 10 times the place to its right and 1/10 of the place to its left.
Next, the exponent of a power of 10 tells how many 10s are multiplied and how many zeros the value has.
Multiplying by a power of 10 moves the decimal point right by the exponent.
Dividing by a power of 10 moves the decimal point left by the exponent.
10 to the third power means 10 × 10 × 10 = 1,000, not 3 × 10.

Common mistakes with this 5th grade powers of ten worksheet answers

Students compare only the final number. Instead, check how many places the digits moved. Slow down at that step and check it twice.
Students leave out the unit in word problems. Instead, answers use boxes, cartons, inches, or dollars. Slow down at that step and check it twice.
Students copy the exponent without checking. Also, count the zeros to confirm. Slow down at that step and check it twice.
Students ignore the explanation in problem 19. Mei added zeros instead of moving digits. Slow down at that step and check it twice.

How to use these solutions

Redo each missed problem in a place value chart. Also, the chart shows the shift. Repeat this habit on every problem for the best results.
Check each answer by reversing the operation. Then, a match confirms the work. Repeat this habit on every problem for the best results.
Parents can ask the child to explain why 0.35 times 100 is 35. Repeat this habit on every problem for the best results.

Download the 5th grade powers of ten worksheet answers as a PDF with the button below and keep it with your notes.

5th grade powers of ten worksheet answers: frequently asked questions

What are the answers to problem 13?

The exponents are 3, 3, 2, and 3. Also, for 3.4 times 10 to the third power, the point moves three places to get 3,400. So, for 720 divided by 10 to the second power, the point moves two places left to get 7.2.

How many boxes and cartons are in problem 18?

Six thousand crayons packed 100 to a box fill 60 boxes. Also, packing 10 boxes in each carton fills 6 cartons. Each step divides by a power of ten. A quick check like this takes only a few seconds and prevents most errors.

How much goes to the shelter in problem 20?

Diego sells 100 brownies at 0.25 dollars each, which is 25 dollars. One tenth of 25 dollars is 2.50 dollars, so 2.50 dollars goes to the shelter. A quick check like this takes only a few seconds and prevents most errors.

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