How to Pass Level 2 in Dividing in 10 Is Again
Sectionalization
Segmentation is splitting up a number or object into pieces that are the same size. The most common method used to carve up large numbers without a calculator is the bus end method . If you have a calculator, then sectionalisation bug are more straightforward, but tin still exist a little tricky – some questions need whole number answers.
Make sure you are happy with the following topics before continuing.
- Number Basics (EL3)
- Numbers and Place Value (L1, L2)
The best way to offset your level 2 maths revision is…...
The pre-assessment. This covers key areas from the level two maths exam and one time completed volition provide revision suggestions so you know what topics to focus on.
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When to Divide
You need to know when a question requires you to divide . There are ii things to expect out for:
- Questions involving the words " carve up " or " division " or similar.
- Questions involving the carve up sign, \div.
Division can also sneak into questions, for example through fractions or through wordy questions that give you a total and inquire for a office of the total. This will be seen many times in this class.
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Charabanc Stop Method
This method of division is called the bus stop method , because it looks similar the shape of a coach terminate. You can divide numbers to find whole number answers, decimal answers, or answers that accept a remainder.
Example: Work out 288 \div 9, without using a calculator.
Footstep 1: Firstly, put the division into the Bus Stop seen beneath.
Step 2: Meet how many times 9 goes into the showtime digit, 2, which is \textcolor{limegreen}{0} times, so the \textcolor{crimson}{2} is carried to the side by side digit to make 28. The 0 goes to a higher place the bus stop.
Step three: Side by side, run into how many times 9 goes into 28. Nosotros know iii \times nine=27, so 9 goes into 28 \textcolor{limegreen}{3} times with a residual \textcolor{red}{1}, which is carried in front end of the next digit to brand 18. The 3 goes on pinnacle.
Stride four: Then, meet how many times nine goes into 18, which is \textcolor{limegreen}{2} times. The 2 goes higher up the omnibus stop.
So, the reply is,
288 \div 9 = \textcolor{blue}{32}
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Notes:
If in the last step of the division the number does not split into information technology fully, then we can either:
add a decimal point and actress 0's at the terminate of the number that is existence divided
e.chiliad. Calculate 315 \div 14
\;\;\;\;\;0\;2\;two\;.\;5 \\ 14\overline{\left) three{}^31{}^35.{}^70 \right.}
or say the answer with a residue on the end
e.thou. Calculate 315 \div 14
\;\;\;\;\;\;\;\;\;\;\;\;0\;two\;two \;\; \text{ r } vii \\ fourteen\overline{\left)three{}^31{}^35 \right.}
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Dividing on a Calculator
The Bus Stop Method is for dividing without a calculator . Dividing with a calculator is significantly simpler. All you do is type the digits of one number, and then press the divide symbol \div, then type the digits of the other number, then press equals.
Example:Utilize a computer to find 5040 divided by 336.
Printing 5 then 0 then 4 and so 0 then \div then 3 then 3 then 6 then =.
Your calculator should requite an answer of 15.
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Dividing by \boldsymbol{10}, \boldsymbol{100}, \boldsymbol{k}...
Dividing by powers of 10 is very similar to multiplying , except instead of moving the decimal point to the right , you movement information technology to the left . The corporeality of times you move the decimal bespeak depends on the amount of zeros .
- To divide by \textcolor{purple}{\boldsymbol{x}}, you motility the decimal betoken one place to the left.
- To carve up by \textcolor{purple}{\boldsymbol{100}}, you movement the decimal betoken ii places to the left.
- To split past \textcolor{regal}{\boldsymbol{1000}}, you move the decimal indicate three places to the left.
Remember: For whole numbers the decimal signal doesn't look like information technology's there, merely it is. For example 25 can be written as 25.0
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Checking Your Answer
Dividing is the opposite of multiplying . This means that, at present we know how to do both, we can practise i to check the other.
Example:Find 1536\div3, then perform a suitable check of your answer.
Use a calculator for this to find that 1536\div3=512
Nosotros can cheque this by multiplying 512 and 3 to brand sure we get back to 1536
Use a calculator for this to discover that 512\times3=1536
Example:Notice 82\times21, then perform a suitable check of your answer.
Use a reckoner for this to discover that 82\times21=1722
We can check this by dividing 1722 past 21 to make sure we go back to 82
Use a reckoner for this to notice that 1722\div21=82
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Example 1: Division with Balance
Work out 67 \div v, without using a calculator.
[2 marks]
Apply the bus stop method shown earlier. Notwithstanding, there is now a remainder.
Therefore,
67 \div v = \textcolor{blue}{xiii} \text{\textcolor{black}{ r }} \textcolor{cherry-red}{2}
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Example 2: Division Problems
Peter needs to buy some tiles for his bathroom. Tiles come in packs of 18, and he needs 99 tiles.
How many packs of tiles does Peter demand?
[2 marks]
99 \div 18 = \textcolor{blue}{5.5}
He can't buy \textcolor{blue}{5.5} packs of tiles, so the answer must be a whole number.
In that location wont be plenty tiles if he buys v packs (since v \times xviii = xc), so he will need to buy \textcolor{blue}{six} packs and have 9 left over.
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Instance 3: Dividing by \boldsymbol{10}, \boldsymbol{100}, \boldsymbol{1000}...
Calculate:
a) 48.half dozen\div10
b) 5694\div100
c) 32140\div1000
[3 marks]
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Instance Questions
Use the bus terminate method:
\;\;\;\;\;0\;1\;5\\15\overline{\left)2{}^22{}^75\right.}
And so, 225 \div 15 = 15
Utilise the jitney finish method:
\;\;\;\;\;\;\;0\;\;0\;\;two\;\;7\\160\overline{\left)4{}^43{}^{43}2{}^{112}0\right.}
So, 4320 \div 160 = 27
456 \div 75 = 6.08
There can't be vi.08 coaches, since the number of coaches needs to be a whole number.
6 coaches would not exist enough to hold everyone (since 6 \times 75 = 450), so they need 7 coaches.
a) Dividing by 10 means we motility the decimal point one identify to the left.
So
314.3\div10=31.43
b) Dividing by 1000 ways we motility the decimal betoken three places to the left.
And then
89741.ane\div1000=89.7411
c) Dividing by 100000 ways nosotros move the decimal point v places to the left.
So
4563281\div100000=45.63281
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Source: https://passfunctionalskills.co.uk/functional-skills-maths-level-2/functional-skills-division/
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