Zaira - Fraction & Decimals Test 02

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Flashcards

Simplify Fractions

Simplifying a fraction means reducing it to its lowest terms by dividing both numerator and denominator by their greatest common factor.

Common Denominator

Expressing fractions with the same denominator, found by identifying the least common multiple of the original denominators.

Order fractions

Arranging fractions from least to greatest or greatest to least.

Add/Subtract Fractions

Adding or subtracting fractions requires a common denominator. Mixed numbers must be converted to improper fractions first.

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Multiply Fractions

Multiply the numerators to get the new numerator, and multiply the denominators to get the new denominator. Simplify if needed.

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Divide fraction by whole number

Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number.

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Fraction as Division

Understanding that a fraction represents a division operation.

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Fraction to Decimal

Finding the decimal equivalent of a fraction; divide the numerator by the denominator.

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Decimal Place Value

Identifying the place value of digits to the right of the decimal point (tenths, hundredths, thousandths).

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Multiply/Divide by 10, 100, 1000

Multiplying or dividing by powers of 10 shifts the decimal point to the right (multiply) or left (divide).

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Decimal Multiplication

Multiplying a number with decimal places by a whole number involves multiplying as usual, then placing the decimal point in the correct position.

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Decimal Division

Using long division to divide and extend the quotient beyond the decimal point to get a more precise answer.

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Rounding Decimals

Approximating a number to a specified degree of accuracy (e.g., nearest whole number, one decimal place).

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Fraction/Decimal/Percent Equivalents

Knowing the equivalent values of fractions, decimals, and percents (e.g., 1/2 = 0.5 = 50%).

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Common Factor

A factor that two numbers share.

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Common Multiple

A multiple that two numbers share.

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Equivalent Fraction

Fractions which have the same value, even though they may look different.

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Mixed Number

A number consisting of a whole number and a proper fraction.

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Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

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Quotient

The result of division.

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Remainder

The amount left over after division when one quantity does not exactly divide another.

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Numerator

The number positioned above the line in a fraction, signifying division.

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Denominator

The number positioned below the line in a fraction, signifying division.

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Percentage

A way of expressing a number as parts per 100.

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Compare Symbol

A symbol used to compare values.

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Mixed Numbers

A whole number and a fraction.

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Find Percentages

Calculating a percentage of a number often involves converting the percentage

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Product of fractions

The result of multiplying fractions together.

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Decimal Numbers

Numbers written using the base ten.

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Fractions

Convert mixed numbers to improper

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Study Notes

  • There are two sections to this maths assessment: Section A and Section B

Section A

  • Focuses on working with fractions
  • Involves simplifying fractions using common factors
  • Involves expressing fractions in the same denomination using common multiples
  • Requires comparing and ordering fractions, including those greater than 1
  • Covers adding and subtracting fractions with different denominators and mixed numbers, using equivalent fractions
  • Includes multiplying simple pairs of proper fractions and simplifying the answer
  • Dividing proper fractions by whole numbers will be assessed

Section B

  • Focuses on the relationship between fractions and decimals
  • Requires associating fractions with division
  • Requires calculating decimal fraction equivalents
  • Identifying the value of digits in numbers up to three decimal places
  • Requires multiplying and dividing numbers by 10, 100, and 1000, giving answers up to three decimal places
  • Includes multiplying one-digit numbers with up to two decimal places by whole numbers
  • Requires using written division methods where the answer has up to two decimal places
  • Includes solving problems that require answers to be rounded to specified degrees of accuracy
  • Requires recalling and using equivalences between simple fractions, decimals, and percentages in different contexts

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