Functional Skills: Numbers and Place Value
Functional Skills: Numbers and Place Value Revision
Numbers and Place Value
Numbers can be split up into columns, called digits. Place 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
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.
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
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.
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.
Functional Skills: Numbers and Place Value Example Questions
Question 1: What is the value of the 8 in 1899?
[1 mark]
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}
Question 2: What is the value of the 5 in 527023?
[1 mark]
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}
Question 3: How is the number 475210 spoken in words?
[1 mark]
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}
Question 4: How is the number fifty-three thousand, one hundred and four written in numbers?
[1 mark]
\text{fifty-three thousand} = 53000
\text{one hundred} = 100
\text{four} = 4
These can then be added together to make the number:
53104
Question 5: Which number is smaller, -23 or -24?
[1 mark]
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
Question 6:Â Use a number line to find the difference between -4 and 5.
[1 mark]
As shown by the number line above, there are 9 steps between -4 and 5, so the difference is 9.
Question 7:Â The thermometer below shows the temperature of some water in \degreeC.
What temperature is the water?
[1 mark]
We can see that the temperature is halfway between 40\degreeC and 50\degreeC. So the temperature of the water is 45\degreeC.
Functional Skills: Numbers and Place Value Worksheet and Example Questions
Numbers and Place Value L1
FS Level 1NewOfficial PFS
Numbers and Place Value L2
FS Level 2NewOfficial PFS[responsive-flipbook id=”pfs_pocket_revision_guide_-_sample”]
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