Rounding Numbers and Place Value
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Rounding Numbers and Place Value

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@UnbeatableLagrange

Questions and Answers

Round the number 7.358 to the nearest hundredth.

7.36

What is 4.875 rounded to the nearest whole number?

5

List the following decimals in order from least to greatest: 3.25, 3.52, 3.052.

3.052, 3.25, 3.52

What is the value of the underlined digit in 5.931, where the underlined digit is the tenths place?

<p>9</p> Signup and view all the answers

How would you express 18.923 seconds in words?

<p>Eighteen and nine hundred twenty-three thousandths seconds</p> Signup and view all the answers

What is the result of rounding 3.844 to the nearest tenth?

<p>3.8</p> Signup and view all the answers

When ordering the decimals 38.001, 38.01, and 38.1 from least to greatest, what is the correct sequence?

<p>38.001, 38.01, 38.1</p> Signup and view all the answers

What is the value of the digit in the hundredths place in the number 4.206?

<p>0.06</p> Signup and view all the answers

How would you write the time 18.923 seconds in words?

<p>Eighteen and nine hundred twenty-three thousandths seconds.</p> Signup and view all the answers

Study Notes

Rounding Numbers

  • Numbers rounded to the nearest whole number:
    • 31.3 rounds to 31
    • 5.8 rounds to 6
    • 16.5 rounds to 17
    • 3.8 rounds to 4
  • Rounding to the nearest hundredth:
    • 7.36 remains 7.36
  • Rounding to the nearest whole number gives 5 from 5.0

Writing Time in Seconds

  • Time representation in seconds:
    • Eighteen and nine hundred twenty-three thousandths seconds corresponds to 18.923 seconds

Ordering Decimals

  • Decimals ordered from least to greatest:
    • 38.001, 38.01, 38.1
    • 3.052, 3.25, 3.52

Determining Place Value of Digits

  • Place values of underlined digits in given numbers:
    • In 3.178, the tenths place is 1
    • In 5.931, the tens place is 5
    • In 4.206, the hundredths place is 0
    • In 2.374, the thousandths place is 4

Comparing Numbers

  • Number comparisons demonstrating greater values:
    • 2.85 is greater than 2.58
    • 6.8 is greater than 6.795
    • 3.08 is greater than 3.078
    • 0.021 is greater than 0.012
    • 11.010 is greater than 11.01
    • 14.82 is greater than 14.28

Rounding Numbers

  • Rounding involves adjusting a number to a specified place value, affecting the digit in that place and possibly the digits to its right.
  • To the nearest tenth:
    • 31.274 becomes 31.3
    • 5.793 becomes 5.8
    • 16.48 rounds to 16.5
    • 3.844 rounds to 3.8
  • To the nearest hundredth:
    • 7.358 rounds to 7.36
  • To the nearest whole number:
    • 4.875 rounds to 5

Writing Time in Words

  • Time can be expressed in words for clarity:
    • Eighteen and nine hundred twenty-three thousandths seconds.

Ordering Decimals

  • When ordering decimals from least to greatest, consider the value of each digit:
    • For the numbers 38.001, 38.01, and 38.1, the order is 38.001, 38.01, 38.1.
    • For 3.052, 3.25, and 3.52, the order is 3.052, 3.25, 3.52.

Value of Underlined Digits

  • Identifying the value of a specific digit within a decimal is crucial:
    • In 3.178, the underlined digit is 7, representing 7/10.
    • In 5.931, the underlined digit 3 represents 3/100.
    • In 4.206, 2 represents 2/100.
    • In 2.374, 7 stands for 7/1000.
    • In 2.85, the underlined 8 is 8/10.
    • In 6.8, 8 is also 8/10.
    • In 3.08, the 8 represents 8/100.
    • In 0.012, 1 is 1/100.
    • In 11.01, 1 denotes 1/100.
    • In 14.28, 2 corresponds to 2/10.

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Description

This quiz covers various aspects of rounding numbers, including rounding to the nearest hundredth and whole number. It also explores ordering decimals from least to greatest and determining the place value of digits in numbers. Test your understanding of these essential math concepts.

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