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Place Value Powers Practice

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Place Value Powers Practice

Use place value to solve each challenge. Show how you know when a question asks you to explain.

Place-value detectives

Each digit has a value determined by its place.

Number

Hundred thousands

Ten thousands

Thousands

Hundreds

Tens

Ones

482,615

1.In 482,615, what is the value of the digit 8? Choose the correct value.

8,000
80,000
800,000
800

2.Write 305,072 in expanded form using powers of 10. Include the zero-valued places in your expression.

3.A coastal clean-up team records 6 in the hundred-thousands place, 2 in the ten-thousands place, 0 in the thousands place, 4 in the hundreds place, 9 in the tens place and 3 in the ones place. What number did they record?

4.True or false? In 731,568, the 6 represents six hundred.

TrueFalse

5.A wildlife count is 468,251. Select every true statement.

The 4 is worth 400,000.
The 8 is worth 8,000.
The 2 is in the hundreds place.
The 5 is worth 50.

Numbers in action

Use place value to make sense of big numbers and rounding.

6.A New Zealand event has 1,695,000 visitors. What is the value of the digit 9?

7.A community project costs $287,450,000. Round the cost to the nearest million dollars.

8.Multiply 234,567 by 1,000. Write the answer, then explain what happens to the digits' places.

9.A six-digit number has 6 in the hundreds place. Its tens digit is one third of its hundreds digit, and its thousands digit is half its hundreds digit. Give one possible number; all its digits must be different.

10.Explain one everyday situation in which knowing the value of a digit in a large number could help you make a decision. Give a specific example.