Rational Numbers and Decimal Representation

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Questions and Answers

Which of the following is the decimal representation of $\frac{-12}{1}$?

  • 12.0
  • -1.2
  • 1.2
  • -12.0 (correct)

What is the result of the expression 3.2 + 16.09 + 26.305 - 1.232 ?

  • 42.363
  • 44.34
  • 44.363 (correct)
  • 44.4

Which of the following rational numbers will have a terminating decimal representation?

  • $\frac{22}{190}$
  • $\frac{3276}{680}$
  • $\frac{99}{800}$ (correct)
  • None of the above

What is the result of $2.7 \times 1.5 \times 2.1$ expressed as a decimal?

<p>8.505 (A)</p> Signup and view all the answers

What is the value of the expression (75.05 ÷ 0.05) x 0.001 + 2.351?

<p>3.852 (A)</p> Signup and view all the answers

Which operation results in a rational number?

<p>Dividing 19256 by 11 (D)</p> Signup and view all the answers

Which of the following is an example of converting a fraction to a decimal representation to define a rational number?

<p>Dividing 758 by 1250 (D)</p> Signup and view all the answers

Which of the following arithmetic operations, when performed, always results in a rational number if starting with rational numbers?

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

Which of the given divisions will result in a rational number?

<p>17 ÷ 1250 (A)</p> Signup and view all the answers

What type of number is produced by multiplying rational numbers?

<p>A rational number (B)</p> Signup and view all the answers

Flashcards

Terminating Decimal

A decimal that ends after a finite number of digits.

Repeating Decimal

A decimal that repeats the same digits infinitely.

Adding/Subtracting Decimals

To add or subtract decimals, align the decimal points

Multiplying Decimals

Multiply decimals as whole numbers, then count decimal places.

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Dividing Decimals

Ensure the divisor is a whole number (move its decimal point), then divide normally.

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What are rational numbers?

Numbers that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0.

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What is division?

To divide one number (the dividend) by another (the divisor) to find out how many times the divisor is contained within the dividend.

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What is addition?

The process of finding the total of two or more numbers (or quantities).

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What is subtraction?

Finding the difference between two numbers or quantities.

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What is multiplication?

Repeated addition of the same number or quantity.

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