Decimal Reading and Writing Review

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Questions and Answers

How can decimals be converted to fractions?

  • By multiplying the number by 10
  • By setting the digits in the original number over a power of ten with the same number of zeros (correct)
  • By rounding the decimals to the nearest whole number
  • By adding a decimal point at the end of the number

What is the correct order of steps when converting 0.327 to a fraction?

  • Set 327 over 100, then simplify if possible
  • Set 327 over 1000, then simplify if possible (correct)
  • Set 32.7 over 1000, then simplify if possible
  • Set 32.7 over 100, then simplify if possible

What should you consider when ordering decimals?

  • All numbers should stop at the same place value (correct)
  • Only focus on the whole numbers
  • Ignore the place value when comparing
  • All numbers should have different place values

How can you convert 1/3 to a decimal?

<p>0.333 (A)</p> Signup and view all the answers

'Place value' in a number determines:

<p>What a digit is worth based on its position in the number (A)</p> Signup and view all the answers

What is the correct conversion of 1/10 to a decimal?

<p>.1 (A)</p> Signup and view all the answers

'1/8' is equivalent to which decimal?

<p>.125 (B)</p> Signup and view all the answers

'0.5' as a fraction is equivalent to:

<p>1/2 (A)</p> Signup and view all the answers

How can we compare decimal numbers effectively?

<p>By ensuring they are in their correct place value columns (B)</p> Signup and view all the answers

What is the importance of converting fractions to decimals when comparing them?

<p>To ensure they are in the same format for comparison (B)</p> Signup and view all the answers

How are decimal numbers represented in standard form?

<p>With a sequence of digits, each with a specific place value (B)</p> Signup and view all the answers

What separates whole-numbered place values from fractional place values in decimal notation?

<p>A decimal point (D)</p> Signup and view all the answers

How can you represent the expanded form of a decimal number?

<p>By multiplying each digit by its place value and adding the values (A)</p> Signup and view all the answers

What is the rule for rounding decimals?

<p>Round up if the number to the right is 5 or above (D)</p> Signup and view all the answers

What determines the scale of a decimal number?

<p>The number of digits after the decimal point (D)</p> Signup and view all the answers

What is the first step to find the value of a decimal on the number line?

<p>Identify the whole number part (D)</p> Signup and view all the answers

When adding or subtracting decimals, what should be done if numbers do not have the same length after the decimal point?

<p>Add zeroes to make all numbers the same length (B)</p> Signup and view all the answers

What should be done if one of the numbers in an addition or subtraction problem is a fraction or mixed number?

<p>Convert it to a decimal first (D)</p> Signup and view all the answers

What does regrouping refer to in the context of adding and subtracting decimals?

<p>Exchanging values between place values (A)</p> Signup and view all the answers

When adding four-digit numbers, where should you start adding the numbers?

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

How does adding two-digit numbers differ from adding four-digit numbers?

<p>The process of lining up digits is different (B)</p> Signup and view all the answers

What is a place value in mathematics?

<p>The position of a digit in a number that determines its value (D)</p> Signup and view all the answers

Why is it important to line up numbers correctly when adding large numbers?

<p>To avoid mistakes in calculation (B)</p> Signup and view all the answers

What should you do first when combining two or more numbers in an addition problem?

<p>Line up each digit according to its place value (C)</p> Signup and view all the answers

What is the key step when ordering decimals?

<p>Making sure all numbers stop at the same place value (D)</p> Signup and view all the answers

How can decimals be converted to fractions?

<p>Divide the numerator by the denominator (B)</p> Signup and view all the answers

What is the correct decimal conversion of 1/5?

<p>0.2 (A)</p> Signup and view all the answers

How can you simplify a fraction like 327/1000?

<p>Divide both numerator and denominator by 100 (B)</p> Signup and view all the answers

What does converting fractions to decimals simplify?

<p>Comparing fractions with different denominators (D)</p> Signup and view all the answers

What makes converting fractions to decimals easier according to the text?

<p>Thinking of decimals as parts of a whole number (B)</p> Signup and view all the answers

When converting 1/4 to a decimal, what is the key step?

<p>Dividing the numerator by the denominator (A)</p> Signup and view all the answers

What role does place value play in determining a digit's worth?

<p>Dictates a digit's value based on its position in a number (A)</p> Signup and view all the answers

What is the correct procedure for rounding decimals?

<p>Look at the number to the right, round up if it's 5 or above, and consider only significant digits (D)</p> Signup and view all the answers

How can a decimal number be written in expanded form?

<p>By writing out the value of each digit multiplied by its place value (B)</p> Signup and view all the answers

What determines the scale of a decimal number?

<p>The number of digits after the decimal point (B)</p> Signup and view all the answers

When comparing fractions to decimals, why is it important to format both numbers in the same way?

<p>To easily determine which number is greater or less than the other (B)</p> Signup and view all the answers

What are significant digits in a decimal number?

<p>Nonzero numbers or zeros between nonzero digits (B)</p> Signup and view all the answers

How do you represent fractional place values (to the right of the decimal point) in decimal notation?

<p>As fractions with 1 in the numerator and a power of 10 in the denominator (C)</p> Signup and view all the answers

How can you convert a fraction to a decimal for easy comparison?

<p>By dividing the numerator by a power of 10 equivalent to the denominator (D)</p> Signup and view all the answers

When rounding decimals, what should be done if there are multiple operators in an equation?

<p>'Use the rounded answer from previous calculations to determine rounding method for final answer (D)</p> Signup and view all the answers

What is the first step in adding or subtracting decimals?

<p>Write the numbers in a vertical column (C)</p> Signup and view all the answers

Why is it necessary to convert a fraction or mixed number to a decimal before adding or subtracting?

<p>To ensure all numbers have the same length (D)</p> Signup and view all the answers

When adding four-digit numbers, where should you start the addition?

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

What is the main purpose of lining up numbers correctly when adding large numbers?

<p>To ensure all digits are added together (C)</p> Signup and view all the answers

What does regrouping refer to in the context of adding and subtracting decimals?

<p>Exchanging values between place values (C)</p> Signup and view all the answers

How can you ensure that your answer is wrong when adding large numbers?

<p>Do not line up numbers correctly (B)</p> Signup and view all the answers

What determines the importance of converting fractions or mixed numbers to decimals?

<p>To make sure all numbers have the same length (A)</p> Signup and view all the answers

What should you do first when combining two or more numbers in an addition problem?

<p>Write the numbers in a vertical column (A)</p> Signup and view all the answers

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