Grade 5 Math · Place Value and Powers of Ten
Build Grade 5 Math skills with five 10-question practice tests on place value, expanded form, powers of ten, decimal shifts, comparing numbers, rounding, and base-ten reasoning.
These Grade 5 Math practice tests help students understand how the base-ten system represents whole numbers and decimals. Students practice place value, expanded form, comparing and rounding numbers, powers of ten, multiplication and division by powers of ten, and decimal shifts.
For each question, mark the place of the digit first. Then use a place-value chart, expanded form, or a power-of-ten relationship to check the calculation and answer.
For more Grade 5 Math practice, return to the Grade 5 Math category.
5. Test
A 10-question Grade 5 Math practice test on place value, expanded form, comparing numbers, powers of ten, decimal shifts, rounding, and base-ten reasoning.
Read each number carefully. Use place-value charts, expanded form, powers of ten, and decimal-shift reasoning to choose the answer.
Please select an answer first.
Correct answer: A
The correct answer is 4 ones.
The digit 4 is to the left of the decimal point, so it represents 4 ones.
Please select an answer first.
Correct answer: B
The correct answer is .
Seven tenths is written as , which has decimal form 0.7.
Please select an answer first.
Correct answer: C
The correct answer is .
A zero at the end of a decimal does not change its value, so 3.50 and 3.5 are equal.
Please select an answer first.
Correct answer: D
The correct answer is 6.5.
The hundredths digit is 8, so round the tenths digit 4 up to 5.
Please select an answer first.
Correct answer: A
The correct answer is 3 tenths.
The digit 3 is in the tenths place, so it represents 0.3.
Please select an answer first.
Correct answer: B
The correct answer is 0.06.
Six hundredths is written as .
Please select an answer first.
Correct answer: C
The correct answer is 120.
Multiplying 1.2 by 100 moves the decimal point two places right and gives 120.
Please select an answer first.
Correct answer: D
The correct answer is 43.
Dividing 4,300 by 100 moves the digits two places right and gives 43.
Please select an answer first.
Correct answer: A
The correct answer is .
Write 5.8 as 5.800. It is greater than 5.080, 5.008, and 5.180.
Please select an answer first.
Correct answer: B
The correct answer is A digit’s value depends on its place, and multiplying or dividing by powers of ten shifts digits predictably..
The base-ten system connects place value, decimal shifts, expanded form, and powers of ten.
Place value is the value a digit has because of its position in a number, such as ones, tens, hundreds, tenths, and hundredths.
Multiplying by a power of ten shifts digits to the left, while dividing by a power of ten shifts digits to the right by the number of places in the exponent.
The page includes five mini tests with 10 questions each, for 50 Grade 5 Place Value and Powers of Ten questions in total.
