5th Grade Place Value and Powers of Ten Quiz: 10 Questions with Answers

5th grade powers of ten quiz – Maths PDF

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This 5th grade powers of ten quiz 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 quiz helps fifth grade students quickly check how well they can use powers of ten.

Topic: Place Value and Powers of Ten (5th grade)
Content: 10 multiple-choice questions with instant explanations
Standards: 5.NBT.A.1, 5.NBT.A.2
Answers: Explanations included
Format: Free printable PDF, US Letter, black and white

This quiz helps fifth grade students quickly check how well they can use powers of ten. Also, it has 10 multiple choice questions, and the wrong choices come from real mistakes, such as moving the decimal point the wrong way.

The questions cover the value of a digit, multiplying and dividing by 10 and 100, evaluating a power of ten, products and quotients with exponents, a missing exponent, one tenth of a decimal, an expression for repeated tens, and a savings story. Then, plan about 10 minutes. Then read each explanation to see why the wrong choices tempt students.

Answer these 10 multiple-choice questions about place value and powers of 10. Choose the one best answer for each question. Some questions show the decimal point moving. Read each explanation to learn from your mistakes.

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

5th grade powers of ten quiz: 10 questions

Question 1

The 4 in the hundreds place of 4,400 is what part of the value of the 4 in the thousands place?

The number 4,400.

Question 2

What is $4.6\times10$?

Question 3

What is $38\div100$?

Two places left.

Question 4

What is the value of $10^{4}$?

Question 5

What is $0.07\times10^{3}$?

Question 6 and after

Question 6

What is $9{,}200\div10^{2}$?

Question 7

Which exponent makes this true? $6.5\times10^{?}=650$

Count the places.

Question 8

Which number is $\frac{1}{10}$ of 0.8?

Question 9

Which expression equals $10\times10\times10$?

Three 10s.

Question 10

Ethan saves $3.40 each month. How much does he save in 100 months?

Remember

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 quiz

Students move the point left when they multiply. Instead, multiplying by a power of ten makes the number larger.
Students choose an answer with extra zeros. Also, move the digits and avoid extra zeros. Slow down at that step and check it twice.
Students confuse the exponent with the number. Instead, ten to the fourth has four zeros. Slow down at that step and check it twice.
Students pick ten times as much for one tenth. Also, one tenth is smaller than the number. Slow down at that step and check it twice.

Tips to get a high score

Ask whether your answer should be bigger or smaller. Also, this quick question removes wrong choices. Repeat this habit on every problem for the best results.
Count the zeros to find the exponent. Then, this habit helps with every power of ten. Repeat this habit on every problem for the best results.
Teachers can use the expression question as a warm up on repeated multiplication. Repeat this habit on every problem for the best results.

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

5th grade powers of ten quiz: frequently asked questions

What is 10 to the fourth power?

It is 10 times 10 times 10 times 10, which equals 10,000. Also, the exponent 4 tells you there are four tens and four zeros. So 10 to the fourth power is a one followed by four zeros.

How do you find one tenth of a decimal?

Divide by 10 by moving the digits one place right. So, one tenth of 0.5 is 0.05. Also, each digit becomes one tenth as large, which means the number is smaller. A quick check like this takes only a few seconds and prevents most errors.

What does a good score on this quiz mean?

Eight or more out of 10 shows that you can multiply and divide by powers of ten and use exponents. So, a lower score suggests more practice with a place value chart. Try the quiz again after a day.

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