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Number Value Exploration
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Number Value Exploration
Use place-value knowledge to write, compare, order and round whole numbers and decimals. Show your thinking where asked.
Place Value and Expanded Form
1.Write 5,284 as a sum of its place-value parts.
2.Write 9,061 as a sum of its non-zero place-value parts.
3.Write 4.728 as a sum of its place-value parts.
4.Write 13.054 as a sum of its non-zero place-value parts.
5.In 7,362, what is the value of the digit 3?
6.In 6.481, what is the value of the digit 8?
Comparing and Ordering Numbers
7.Write <, > or = in the gap: 5,608 ___ 5,680.
8.Write <, > or = in the gap: 9,040 ___ 9,004.
9.Write <, > or = in the gap: 4.62 ___ 4.620.
10.Write <, > or = in the gap: 8.305 ___ 8.35.
11.Put these whole numbers in ascending order: 7,246; 7,426; 7,264; 7,624.
12.Put these decimals in ascending order: 3.08; 3.8; 3.508; 3.5.
13.Explain how comparing the tenths and hundredths digits helps you decide which is greater: 6.47 or 6.5.
Rounding and Real-Life Applications
14.Round 6,748 to the nearest hundred.
15.Round 8,561 to the nearest thousand.
16.Round 7.863 to the nearest tenth.
17.Round 14.276 to the nearest hundredth.
18.A town has an estimated population of 1,746,000. Round this estimate to the nearest hundred thousand.
19.A coastal settlement has about 386,200 residents. Round this estimate to the nearest ten thousand.
20.Two regions have estimated populations of 1,746,000 and 386,200. Use the rounded values from the previous two questions to estimate how many more people live in the larger region.
21.A runner finishes a race in 42.684 minutes. Round the time to the nearest whole minute.
22.A runner finishes a race in 42.684 minutes. Round the time to the nearest tenth of a minute.
23.A runner's current time is 42.684 minutes. If the runner aims to finish 2.5 minutes faster, what is the target time?
24.Explain why 0.5 rounds to 1 when rounded to the nearest whole number.
4 printable pages
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