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Number Sense Challenge

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Number Sense Challenge

Solve each challenge. Show your thinking where you can. Use the number line and place-value chart to help you.

Number control

Use place value to investigate numbers up to one million.

Millions

Hundred thousands

Ten thousands

Thousands

Hundreds

Tens

Ones

1.A conservation project has 6 hundred thousands, 3 ten thousands, 0 thousands, 8 hundreds, 4 tens and 2 ones recorded in its report. Write the number in digits.

2.In 630,842, what is the value of the digit 8? Use the place-value chart to identify its position.

8
80
800
8,000

3.Two regions counted native plants: one recorded 450,000 plants and the other recorded 405,000. Choose the correct symbol to compare the totals: 450,000 ___ 405,000.

4.A mapping team measures a route as 3,400 metres. What is 3,400 multiplied by 100?

34,000
340,000
3,400,000
34

Number-line navigation

Use the number line to locate and order large numbers.

5.A tracking app shows 750,000 metres. Which interval contains 750,000 on the number line?

600,000 to 700,000
700,000 to 800,000
800,000 to 900,000
900,000 to 1,000,000

6.A walking challenge has checkpoints at 250,000 m, 820,000 m, 150,000 m and 950,000 m. Write the checkpoint distances in order from smallest to largest.

Explain and create

Show that you understand how digits and place value work.

7.Explain why 678,000 is greater than 587,000. Refer to the place values of the digits as you compare the numbers.

8.What happens to the place value of each digit when a whole number is multiplied by 1,000? Give an example using 24.

9.Create a six-digit number that is greater than 500,000, has 4 in the tens place and has 7 in the thousands place. Write one number that meets all three rules.

10.Using the valid number 507,042 from Question 9, calculate 507,042 ÷ 10. Write the answer as a decimal.