Functional Skills: Numbers and Place Value

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Functional Skills: Numbers and Place Value Revision

Numbers and Place Value

Numbers can be split up into columns, called digitsPlace value is about the value of each digit within a number. Each digit has a different value determined by its position in the number.

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Place Value

The value of each digit decreases, going from left to right. Each digit in the number has a different value, e.g. the 5 means 50,000. The value for each digit added together makes the number.

To read or write a large number, break up the number into groups of three digits starting from the right, using commas if we wish.

We then have a millions group, a thousands group and the rest. Therefore, this number can be spoken in words as

18 million, 852 thousand, 5 hundred and 34

or

eighteen million, eight hundred and fifty-two thousand, five hundred and thirty-four

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Positive and Negative Numbers

Numbers can either be positive, if they are greater than 0, or negative, if they are less than 0.

Number lines can help you visualise certain number problems, for instance they are really helpful in allowing you to grasp the concept of negative numbers. They can also be useful to find the difference between two numbers.

The further right you go on the number line, the larger the numbers become, e.g. 3 is larger than -1 which is larger than -2

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Scales

Scales are just number lines that are often used in real life scenarios, for example a thermometer.

Sometimes they don’t always show every number and just increase in intervals.

The ruler below is an example of a scale, used to measure lengths.

 

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Example 1: Place Value

State the place value of the 6 in 5609.

[1 mark]

Counting from right to left, we can see that the 6 is in the third column along – the hundreds column.

Therefore, the value of the ‘6 digit’ in this number is 600.

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Example 2: Positive and Negative Numbers

Which number is larger, -3 or -8?

[1 mark]

Because both of these numbers are negative, so the number which is larger is the one with a smaller number after the minus (-) sign, which is -3

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Example 3: Number Line

The temperature at night was -3 \degreeC, and then the temperature in the daytime was 11\degreeC.

Work out the difference between the temperature at night and in the daytime.

[1 mark]

First draw a number line that includes both -3 and 11.

Then count on from -3 to 11.

As shown on the number line above, there area 14 steps, so the difference is \boldsymbol{14\degree}C.

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Example 4: Scales

Elise is measuring the height of a box, using a centimetre ruler.

What is the height of the box?

[1 mark]

Each small line between whole numbers is worth 0.1 cm, and the height of the box is 8 lines between 5 and 6, so the height of the box is 5.8 cm.

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Functional Skills: Numbers and Place Value Example Questions

The 8 is the 3rd digit from the right, meaning it’s in the hundreds column. So, the value is,

 

800 or \text{eight hundred}

The 5 is the 6th digit from the right, meaning it’s in the hundred thousands column. So, the value is,

 

500000 or \text{five hundred thousand}

Split the number into groups of three, starting from the right. So we have a thousands group and the rest.

475210 is therefore spoken as

475 \text{ thousand } 2 \text{ hundred and } 10

or

\text{four hundred and seventy-five thousand, two hundred and ten}

\text{fifty-three thousand} = 53000

\text{one hundred} = 100

\text{four} = 4

 

These can then be added together to make the number:

53104

Because both of these numbers are negative, so the number which is smaller is the one with a larger number after the minus (-) sign, which is -24

 

As shown by the number line above, there are 9 steps between -4 and 5, so the difference is 9.

We can see that the temperature is halfway between 40\degreeC and 50\degreeC. So the temperature of the water is 45\degreeC.

Additional Resources

PFS

Exam Tips Cheat Sheet

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PFS

Formula Booklet

FS Level 2

Functional Skills: Numbers and Place Value Worksheet and Example Questions

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Numbers and Place Value L1

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Numbers and Place Value L2

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