How do you convert from a percentage to a decimal ? E.g. 45%

To convert from a percentage to a decimal , divide by 100 . E.g. 45 ÷ 100 = 0.45

How do you convert from a decimal to a percentage ? E.g. 0.68

To convert from a decimal to a percentage , multiply by 100. E.g. 0.68 × 100 = 68%

True or False? One method to order fractions is to write all the fractions with a common denominator .

True. One method to order fractions is to write all the fractions with a common denominator so that you can compare the same type of fraction.

How do you put decimals in order of size ? E.g. 0.6, 0.57, 0.624, 0.637

To put decimals in order of size , use place value . Compare the digits in the tenths column, and then the hundredths column and so on, e.g. 0.6 > 0.57, because 6 is bigger than 5 0.637 > 0.624, because the 6 is the same but 3 is bigger than 2 You can also make each number have the same number of digits after the decimal points by including extra zeros where necessary. 0.6 = 0.60 = 0.600 = ...

How do you put fractions , decimals and percentages in order of size ?

To put fractions , decimals and percentages in order of size , convert all of them into decimals and then order the decimals .

Which decimal is bigger 0.659 or 0.67?

0.67 is bigger than 0.659. The number in the tenths column is the same. The number in the hundredths column is bigger in 0.67 than in 0.675. You can also write 0.67 as 0.670 to see this more easily.

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Fractions, Decimals & Percentages (AQA GCSE Maths)

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FrontConverting Fractions, Decimals & Percentages
How do you convert from a percentage to a decimal?
E.g. 45%

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How do you convert from a percentage to a decimal?
E.g. 45%
To convert from a percentage to a decimal, divide by 100.
E.g. 45 ÷ 100 = 0.45
How do you convert from a decimal to a percentage?
E.g. 0.68
To convert from a decimal to a percentage, multiply by 100.
E.g. 0.68 × 100 = 68%
How do you convert from a terminating decimal to a fraction?
E.g. 0.29
To convert from a terminating decimal to a fraction, use place value.
Whatever is the lowest place value (tenths, hundredths, thousandths, etc) is the denominator of the fraction.
The numerator is just the digits of the decimal.
E.g. 0.29, the lowest place value is the 9 in the hundredths place
0.29 = $\frac{29}{100}$
How do you convert from a percentage to a fraction?
E.g. 57%
To convert from a percentage to a fraction, write the percentage over 100 and simplify if required.
E.g. 57% = $\frac{57}{100}$
How do you convert from a fraction to a decimal?
E.g. $\frac{3}{8}$
To convert from a fraction to a decimal, divide the numerator by the denominator.
E.g. 3 ÷ 8 = 0.375
How do you convert from a fraction to a percentage?
E.g. $\frac{2}{5}$
To convert from a fraction to a percentage, divide the numerator by the denominator and then multiply it by 100.
E.g. 2 ÷ 5 = 0.4, 0.4 × 100 = 40%
True or False?
The method for converting $0 . \dot{3} \dot{2}$ into a fraction involves multiplying it by 10 once and then subtracting the original decimal.
False.
The method for converting $0 . \dot{3} \dot{2}$ into a fraction involves multiplying it by 100 (not 10) and then subtracting the original decimal.
$100 x = 32.32 - 10 x = 0.32 99 x = 32 x = \frac{32}{99}$
$x = 0.4 \dot{5}$
What is the next step to convert $0.4 \dot{5}$ into a fraction?
$x = 0.4 \dot{5}$
The next step to convert $0.4 \dot{5}$ into a fraction is to multiply both sides of the equation by 10 to get the recurring part by itself.
$10 x = 4 . \dot{5}$
$\begin{array}{rcl} x & = & 0 . \dot{8} \dot{7} \\ 100 x & = & 87 . \dot{8} \dot{7} \end{array}$
What is the next step to convert $0 . \dot{8} \dot{7}$ into a fraction?
$\begin{array}{rcl} x & = & 0 . \dot{8} \dot{7} \\ 100 x & = & 87 . \dot{8} \dot{7} \end{array}$
The next step to convert $0 . \dot{8} \dot{7}$ into a fraction is to subtract the first equation from the second to cancel out the recurring parts.
$99 x = 87$
$x = 0.7 \dot{1}$
Which two multiples of $x$ do you need in order to convert $0.7 \dot{1}$ into a fraction?
$x = 0.7 \dot{1}$
To convert $0.7 \dot{1}$ into a fraction, you need the multiples $10 x = 7 . \dot{1}$ and $100 x = 71 . \dot{1}$ .
The recurring value after the decimal place needs to be identical.
True or False?
One method to order fractions is to write all the fractions with a common denominator.
True.
One method to order fractions is to write all the fractions with a common denominator so that you can compare the same type of fraction.
How do you put decimals in order of size?
E.g. 0.6, 0.57, 0.624, 0.637
To put decimals in order of size, use place value.
Compare the digits in the tenths column, and then the hundredths column and so on,
e.g. 0.6 > 0.57, because 6 is bigger than 5
0.637 > 0.624, because the 6 is the same but 3 is bigger than 2
You can also make each number have the same number of digits after the decimal points by including extra zeros where necessary.
0.6 = 0.60 = 0.600 = ...
How do you put fractions, decimals and percentages in order of size?
To put fractions, decimals and percentages in order of size, convert all of them into decimals and then order the decimals.
Which decimal is bigger 0.659 or 0.67?
0.67 is bigger than 0.659.
The number in the tenths column is the same.
The number in the hundredths column is bigger in 0.67 than in 0.675.
You can also write 0.67 as 0.670 to see this more easily.
True or False?
$\frac{4}{29}$ is greater than $\frac{4}{27}$ because the numerators are the same and it has the greater denominator.
False.
$\frac{4}{29}$ is not greater than $\frac{4}{27}$ .
In the first fraction, 4 is divided by a greater number so the decimal will be smaller.
Which fraction is bigger, $\frac{17}{40}$ or $\frac{21}{40}$ ?
$\frac{21}{40}$ is greater than $\frac{17}{40}$ because the denominators are the same and the numerator is greater.

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Fractions, Decimals & Percentages (AQA GCSE Maths)

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Cards in this collection (16)

1. Number

Number Operations

Prime Factors, HCF & LCM

Powers, Roots & Standard Form

Fractions

Percentages

Simple & Compound Interest, Growth & Decay

Fractions, Decimals & Percentages

Rounding, Estimation & Bounds

Surds

Using a Calculator

2. Algebra

Introduction to Algebra

Algebraic Roots & Indices

Expanding Brackets

Factorising

Completing the Square

Algebraic Fractions

Rearranging Formulas

Algebraic Proof

Linear Equations

Quadratic Equations

Simultaneous Equations

Iteration

Forming & Solving Equations

Functions

Coordinate Geometry

Linear Graphs

Graphs of Functions

Equation of a Circle

Estimating Gradients & Areas under Graphs

Real-Life Graphs

Solving Inequalities

Graphing Inequalities

Transformations of Graphs

Sequences

3. Ratio, Proportion & Rates of Change

Ratios

Problem Solving with Ratios

Direct & Inverse Proportion

Standard & Compound Units

Exchange Rates & Best Buys

4. Geometry & Measures

Symmetry & Shapes

Angles in Polygons & Parallel Lines

Bearings, Scale Drawing, Constructions & Loci

Circle Theorems

Area & Perimeter

Circles, Arcs & Sectors

Volume & Surface Area

Congruence, Similarity & Geometrical Proof

Area & Volume of Similar Shapes

Pythagoras & Trigonometry

Sine, Cosine Rule & Area of Triangles

3D Pythagoras & Trigonometry

Vectors

Transformations

5. Probability

Introduction to Probability

Simple Probability Diagrams

Tree Diagrams

Combined & Conditional Probability

6. Statistics

Averages, Ranges & Data

Statistical Diagrams

Histograms

Cumulative Frequency & Box Plots

Scatter Graphs & Correlation