Podcast
Questions and Answers
Which digit represents the tenths place in the decimal 4.573?
Which digit represents the tenths place in the decimal 4.573?
- 4
- 7
- 3
- 5 (correct)
When comparing 0.62 and 0.6, which statement is correct?
When comparing 0.62 and 0.6, which statement is correct?
- 0.62 = 0.6
- 0.62 > 0.6 (correct)
- 0.62 < 0.6
- 0.62 is not comparable to 0.6
How do you correctly compare the decimals 3.007 and 3.1?
How do you correctly compare the decimals 3.007 and 3.1?
- Align the decimals and compare each digit. (correct)
- Add the decimals together before comparing.
- Consider trailing zeros and ignore the whole number.
- Compare only the whole number part.
Which of the following is a common mistake when comparing decimals?
Which of the following is a common mistake when comparing decimals?
What is the result of comparing the decimals 2.45 and 2.4?
What is the result of comparing the decimals 2.45 and 2.4?
Flashcards
Tenths
Tenths
The first digit right of the decimal point represents a tenth of the whole number, like 0.1 representing one tenth.
Hundredths
Hundredths
The second digit right of the decimal point represents a hundredth of the whole number, like 0.01 representing one hundredth.
Why align decimals?
Why align decimals?
Aligning decimal points makes sure you are comparing the same place values, like comparing tens with tens and hundredths with hundredths.
Trailing Zeros
Trailing Zeros
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Comparing Decimal Values
Comparing Decimal Values
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Study Notes
Comparing Decimals
- Decimals represent parts of a whole, separated by a decimal point. The whole number part is before the decimal, and the fractional part is after. For example, in 3.45, '3' is the whole number and '45' is the fractional part.
Decimal Place Values
- Tenths: The first digit to the right of the decimal.
- Hundredths: The second digit to the right of the decimal.
- Thousandths: The third digit to the right of the decimal.
Steps to Compare Decimals
- Align the decimal points of the numbers you want to compare.
- Compare the digits in each place value, starting from the left.
- The first place where the digits differ shows which number is greater.
- If all the digits are the same, the numbers are equal.
Examples of Comparing Decimals
- Example 1: Compare 0.35 and 0.37
- Align the decimals: 0.35 and 0.37
- Compare the tenths: same (3)
- Compare the hundredths: 5 < 7, therefore 0.35 < 0.37
- Example 2: Compare 2.5 and 2.50
- Align the decimals: 2.50 and 2.50
- Compare the digits: They are the same, therefore 2.5 = 2.50
Common Mistakes to Avoid
- Forgetting to align the decimal points before comparing.
- Ignoring trailing zeros (e.g., 2.5 and 2.50 are the same).
- Comparing digits without considering their place value.
Practice Problems (with answers)
- Problem 1: Compare 0.45 and 0.54. Answer: 0.45 < 0.54
- Problem 2: Compare 1.2 and 1.19. Answer: 1.2 > 1.19
- Problem 3: Compare 3.001 and 3.01. Answer: 3.001 < 3.01
- Problem 4: Compare 0.8 and 0.80. Answer: 0.8 = 0.80
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