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Number Concepts Collaboration
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Number Concepts Collaboration
Compare your strategies, explain your thinking, and agree on an answer. Show calculations where useful.
Ordering and comparing numbers
1.Arrange 0.07, 0.7, 7, 0.17, and 0.701 from least to greatest. Use the number line to help check the positions of the values between 0 and 1.
2.Which number is greater: 6.08 or 6.8? Explain how comparing place values helps you decide.
3.Which statement about powers of 10 is true?
- 10² = 20
- 10³ = 1,000
- 10⁴ = 400
- 10¹ = 100
4.Write <, >, or = in each space: a) 5.09 ___ 5.9; b) 0.36 ___ 0.360; c) 12.4 ___ 12.04.
Estimation and rounding
5.Estimate 3,286 + 5,741 by rounding each number to the nearest thousand. Give your estimate and show the rounded numbers.
6.Estimate 48.6 × 4.1 by rounding each factor to the nearest whole number.
7.Round 7.846 to the nearest tenth, nearest hundredth, and nearest whole number.
8.For estimating 6,420 + 2,680, which choice rounds both numbers to the nearest thousand? Choose one.
- Round both numbers to the nearest hundred
- Round both numbers to the nearest tenth
- Round both numbers to one decimal place
- Round both numbers to the nearest thousand
Equivalent fractions, decimals, and percentages
9.Match each fraction with its equivalent decimal or percentage.
- 1/5
- 2/5
- 3/4
- 1/10
- 1/2
- 3/5
- 0.5
- 0.2
- 10%
- 60%
- 40%
- 0.75
10.The fraction bar shows one whole split into equal parts. What fraction is shaded, and what percentage does that represent?
11.Write 0.625 as a fraction in simplest form and as a percentage.
12.For 2/5 = 0.4 = 40%, describe one way to check that all three forms have the same value.
13.Name one practical strategy for checking a classmate's calculation or explanation. Give a specific example of how you could use it.
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