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Understanding Place Value

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Understanding Place Value

Ngaio is checking numbers for a community fun run. Use place value to read, compare and calculate with whole numbers and decimals. Show your thinking where asked.

Read the digits

Each digit’s value depends on its position.

Number

Millions

Hundred thousands

Ten thousands

Thousands

Hundreds

Tens

Ones

684,207

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1.In 684,207, what is the value of the digit 8? Choose the correct value.

8,000
80,000
800,000
800

2.In 684,207, which digit is in the hundreds place, and what is its value?

3.A fun-run route is 3.407 km long. What is the value of the digit 7?

7 tenths
7 hundredths
7 thousandths
7 units

Compare and calculate

Place value helps you judge which numbers are larger and how they change.

4.Arrange these distances from shortest to longest: 3.47 km, 3.407 km, 3.5 km. Use the number line to help.

5.Write 52,084.306 in expanded form, including the value of every non-zero digit.

6.The event team adds 100 to 8,746. What is the new number? Explain which digit changes and why.

7.A volunteer says 6.08 is greater than 6.8 because 8 hundredths is greater than 8 tenths. Is the volunteer correct? Explain using place value.

8.A sponsor gives $4,650 to the fun run. Write this amount in words and in expanded form.

9.A timing display shows 12.735 seconds. Round the time to the nearest hundredth of a second. Identify the digit that helps you decide.

10.Create a six-digit number with 4 in the ten-thousands place, 2 in the hundreds place and 0 in the tens place. Write your number and its expanded form. Several answers are possible.