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Place Value Exploration

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Place Value Exploration

Help the community market team check prices, plan a fundraiser and solve a place-value puzzle. Show your thinking where useful. In this worksheet, a comma separates thousands and a full stop marks the decimal point.

Market number investigations

1.A stallholder records 38,506.27 kg of produce sold across several seasons. What is the value of the digit 8, and what is the value of the digit 7?

2.A market sign shows $6,042.90. Which statement correctly describes the 4?

It is in the tens place and has a value of $40.
It is in the hundreds place and has a value of $400.
It is in the thousands place and has a value of $4,000.
It is in the tenths place and has a value of $0.40.

3.Write the market's mystery number: it has 7 ten-thousands, 0 thousands, 3 hundreds, 5 tens, 2 ones, 4 tenths and 8 hundredths.

4.The team is checking these stall totals: $2,405.08; $2,450.80; $2,045.88. Order them from smallest to largest.

Decimals on the move

5.The fundraiser prints 100 tickets for each batch. One batch has a ticket code of 3.406. Multiply the code by 10, then by 100 from the original code. What are the two results?

6.A delivery record says 58,320 kg. The clerk divides the number by 10 to convert it to a larger unit on the form. Calculate 58,320 ÷ 10, and explain what happens to the value of each digit.

7.A fundraiser total is $4,728.36. Write it in expanded form, including every non-zero place value.

8.The stall team has $83 to make up using $50, $20, $10 and $1 denominations. Select every combination that totals exactly $83.

$50 + $20 + $10 + 3 × $1
4 × $20 + 3 × $1
8 × $10 + 3 × $1
$50 + $20 + 13 × $1

9.A calculator displays 0.064. State the place value and value of the digit 6.

10.A number has a 5 in the thousands place. If that digit shifts one place to the right, how much does its value decrease?

By 5
By 450
By 4,500
It does not change.

11.A price is $12.5. A customer says it must be smaller than $12.49 because it has fewer digits after the decimal point. Is the customer correct? Explain using equivalent decimals.

12.Create a six-digit number with a 4 in the ten-thousands place, a 0 in the hundreds place and a 7 in the tenths place. Write your number and state the value of each digit.