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26. Addition, Subtraction, Multiplication and Division of numbers example ( Enter your problem )
  1. Adding numbers examples
  2. Subtracting numbers examples
  3. Multiplying numbers examples
  4. Dividing numbers examples

3. Multiplying numbers examples





1. Find `321 * 78`

Solution:

21 `larr`Carry of `321xxcolor{green}{7}`
21 `larr`Carry of `321xxcolor{red}{8}`
321
×78

2568`larr``color{red}{321xx8}`
2247 `larr``color{green}{321xx7}`

25038`larr`Product


Multiplication steps
Step-1 : `321xx8=?`
`8xx1=8.``:.` put down `8`
`8xx2=16.``:.` put down `6` and carry `1`
`8xx3=24+1=25.``:.` put down `5` and carry `2`
Step-2 : `321xx7=?`
`7xx1=7.``:.` put down `7`
`7xx2=14.``:.` put down `4` and carry `1`
`7xx3=21+1=22.``:.` put down `2` and carry `2`


So, `321xx78=25038`
2. Find `598.5 * 2.3`

Solution:

In 598.5 there are 1 decimal places
In 2.3 there are 1 decimal places
So, total decimal places `=1+1=2`

Ignore the decimal places and multiply the numbers

1111 `larr`Carry of `5985xxcolor{green}{2}`
1221 `larr`Carry of `5985xxcolor{red}{3}`
5985
×23

17955`larr``color{red}{5985xx3}`
11970 `larr``color{green}{5985xx2}`

137655`larr`Product


Multiplication steps
Step-1 : `5985xx3=?`
`3xx5=15.``:.` put down `5` and carry `1`
`3xx8=24+1=25.``:.` put down `5` and carry `2`
`3xx9=27+2=29.``:.` put down `9` and carry `2`
`3xx5=15+2=17.``:.` put down `7` and carry `1`
Step-2 : `5985xx2=?`
`2xx5=10.``:.` put down `0` and carry `1`
`2xx8=16+1=17.``:.` put down `7` and carry `1`
`2xx9=18+1=19.``:.` put down `9` and carry `1`
`2xx5=10+1=11.``:.` put down `1` and carry `1`


Rewrite the answer with 2 decimal places (from the right) = `1376.55`

So, `598.5xx2.3=1376.55`




This material is intended as a summary. Use your textbook for detail explanation.
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