Math Chapter 4 Review

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Questions and Answers

Identify the greatest place-value position where the digits differ between the numbers 4.563 and 4.536.

  • Tenths
  • Hundredths (correct)
  • Ones
  • Thousandths

Which comparison is correct for the numbers 5.640 and 5.64?

  • 5.640 > 5.64
  • 5.640 = 5.64 (correct)
  • 5.640 >= 5.64
  • 5.640 < 5.64

Which is the correct order from least to greatest for the numbers 4.08, 4.3, 4.803, and 4.038?

  • 4.08, 4.038, 4.3, 4.803
  • 4.08, 4.3, 4.803, 4.038
  • 4.03, 4.08, 4.3, 4.803
  • 4.038, 4.08, 4.3, 4.803 (correct)

In the comparison 9.572 and 9.637, what is the greatest place-value position where the digits differ?

<p>Hundredths (C)</p> Signup and view all the answers

What is the correct order from greatest to least for the numbers 2.007, 2.714, 2.09, and 2.97?

<p>2.97, 2.714, 2.09, 2.007 (A)</p> Signup and view all the answers

What is the correct comparison for the numbers 0.275 and 0.2?

<p>0.275 &gt; 0.2 (A)</p> Signup and view all the answers

In the comparison 1.036 and 1.306, which of the following statements is true?

<p>1.036 &lt; 1.306 (B)</p> Signup and view all the answers

Which number is greater: 6.76 or 6.759?

<p>6.76 (B)</p> Signup and view all the answers

What is the value of the digit 3 in the number 1,342?

<p>300 (B)</p> Signup and view all the answers

What is the expanded form of the decimal 2.51?

<p>2 + 0.5 + 0.01 (A)</p> Signup and view all the answers

What is the word form of the decimal 3.4?

<p>Three and four tenths (A)</p> Signup and view all the answers

Which fraction is equivalent to the decimal 0.8?

<p>4/5 (B)</p> Signup and view all the answers

If a number written as a decimal is 0.46, what is this number as a fraction?

<p>46/100 (B)</p> Signup and view all the answers

What is the decimal equivalent of the fraction 5/100?

<p>0.05 (C)</p> Signup and view all the answers

Which of the following represents the decimal 0.90 as a fraction?

<p>9/10 (D)</p> Signup and view all the answers

In the number 6.234, what is the value of the digit 2?

<p>2 hundredths (D)</p> Signup and view all the answers

What is the expanded form of the number 3.954?

<p>3 + 9/10 + 5/100 + 4/1000 (D)</p> Signup and view all the answers

What is the digit in the thousandths place in the number 0.496?

<p>6 (B)</p> Signup and view all the answers

Which of these is another way to express 253 thousandths?

<p>0.253 (D)</p> Signup and view all the answers

If the digit 7 in the number 7.632 represents how many tenths, what is its value?

<p>0.7 (A)</p> Signup and view all the answers

In the number 14.371, what value does the digit 3 represent?

<p>3 hundredths (D)</p> Signup and view all the answers

Which digit in the number 0.002 represents the value of thousands?

<p>0 (B), 0 (D)</p> Signup and view all the answers

Flashcards

Value of 3 in 1,342

300

Value of 2 in 2,187

2,000

Word form of 3.4

Three and four tenths

Expanded form of 2.51

2 + 0.5 + 0.01

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Decimal form of 6/10

0.6

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Fraction form of 0.8

8/10

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Decimal form of 35/100

0.35

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Fraction form of 0.90

90/100

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What is the value of the digit 5 in 0.543?

The digit 5 is in the tenths place, so its value is 5/10 or 0.5.

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Write 0.5 in word form.

Five tenths

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Write 0.5 in fraction form.

5/10

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What is the value of the digit 2 in 6.234?

The digit 2 is in the ones place, so its value is 2.

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Write 253 thousandths in decimal form.

0.253

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Write 7.632 in expanded form.

7 + 0.6 + 0.03 + 0.002

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What is the value of the digit 9 in 0.496?

The digit 9 is in the hundredths place, so its value is 9/100 or 0.09.

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Write 6.399 in word form.

Six and three hundred ninety-nine thousandths

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Greatest Place-Value Position

The largest place value where the digits of two numbers differ. For example, in 3.472 and 3.445, the greatest place-value position where the digits differ is the thousandths place.

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Comparing Decimals: Greater Than

A decimal is greater than another decimal when its digit in the greatest place-value position where the digits differ is larger. For example, 3.456 is greater than 3.436 because the digit in the hundredths place (5) is greater than the digit in the hundredths place (3) in the other decimal.

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Comparing Decimals: Less Than

A decimal is less than another decimal when its digit in the greatest place-value position where the digits differ is smaller. For example, 2.453 is less than 2.463 because the digit in the hundredths place (5) is smaller than the digit in the hundredths place (6) in the other decimal.

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Ordering Decimals (Least to Greatest)

Arrange decimals from least to greatest by comparing their digits in the largest place-value position. If the digits in the largest place-value position are the same, compare the digits in the next place value, and so on.

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Ordering Decimals (Greatest to Least)

Arrange decimals from greatest to least by comparing their digits in the largest place-value position. If the digits in the largest place-value position are the same, compare the digits in the next place value, and so on. The process is similar to ordering from least to greatest, but we start with the largest number.

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Finding the Unknown Digit

Given a comparison statement with a missing digit in one of the decimals, replace the missing digit with a value that makes the comparison true.

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Comparing Decimals: Equal

Two decimals are equal when their digits in all place values are the same. For example, 8.72 is equal to 8.720 because both numbers have the same digits in the ones, tenths, and hundredths place.

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Different Representations of Decimals

Decimals can be written in different ways while representing the same value. For example, 8.72 is the same as 8.720. The zero in the thousandths place doesn't change the value.

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Study Notes

Chapter 4 Review

  • Chaz kept a record of gas purchases each day last week.

  • The data is in a table with days and the amounts of gallons purchased.

  • The days are ordered, from least to greatest, amount of gas purchased.

  • 16.437 rounded to the nearest whole number is 16 (True)

  • 16.437 rounded to the nearest tenth is 16.4 (True)

  • 16.437 rounded to the nearest hundredth is 16.44 (False)

  • 5.682 is equal to 5 ones + 6 tenths + 8 hundredths + 2 thousandths and 5 ones + 5 tenths + 68 hundredths + 20 thousandths

  • A table shows the value of 1 Euro in US Dollars each day.

  • The question asks which two days had the same value for 1 Euro when rounded to the nearest hundredth of a dollar.

  • Estee, Sarai, and Kurry each chose a specific number.

    • Estee's number is one tenth of Sarai's.
    • Kurry's number is ten times as much as Sarai's.
    • Sarai's number is 0.09

  • The question asks for the numbers chosen by each person.

  • Karis has plants of different heights in centimeters.

    • The question asks for the place value to compare the heights and order them from tallest to shortest.
    • The place value is hundredths.

  • Four ice skaters' scores are recorded in a chart

  • Scores are ordered, from highest to lowest score

  • A question gives a table of insect speeds.

    • The question asks for the two insects whose speeds, when rounded to the nearest whole number, are the same.

  • A question provides a rounded number, such as 5.67 meters per second for the speed of an insect.

  • The question asks to provide the fastest and slowest speeds to the thousandths that round to 5.67 meters per second, and explain why.

  • The price of a box of cereal is $0.258 per ounce.

  • The question asks to determine whether the statements about the price rounding to whole number, tenth and hundredth are True or False.

  • A question mentions the height of mountains in miles.

    • Heights are in a table.
    • The question asks for which is the greatest place value where the digits differ when comparing the heights, and orders heights from greatest to least.
    • The question asks about the heights' relationship, including a comparison of Mount Blackburn vs Mount Steele.

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