Answer:
There are two numbers between 380 and 410 (excluding 380 and 410 at the endpoints) that are divisible by 2, 5 and 10.
These number are 390 and 400.
Step-by-step explanation:
- In mathematics, a number is termed as divisible by another number if the remainder is 0.
- For example, If the number is even, then it would be divisible by 2. Let assume the number 8, which is divisible by 2 i.e. 8÷2 = 4
So,
There are two numbers between 380 and 410 (excluding 380 and 410 at the endpoints) that are divisible by 2, 5 and 10.
These number are 390 and 400.
Verification:
FOR 390
[tex]\frac{390}{2}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{390}{2}\:\mathrm{is}\:195\:\mathrm{with\:remainder\:of}\:0[/tex]
[tex]195\quad \mathrm{Remainder}\quad \:0[/tex]
Please check the figure a for a long division breakdown.
[tex]\frac{390}{5}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{390}{5}\:\mathrm{is}\:78\:\mathrm{with\:remainder\:of}\:0[/tex]
[tex]78\quad \mathrm{Remainder}\quad \:0[/tex]
Please check the figure a for a long division breakdown.
[tex]\frac{390}{10}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{390}{10}\:\mathrm{is}\:39\:\mathrm{with\:remainder\:of}\:0[/tex]
[tex]39\quad \mathrm{Remainder}\quad \:0[/tex]
Please check the figure a for a long division breakdown.
FOR 400
[tex]\frac{400}{2}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{400}{2}\:\mathrm{is}\:200\:\mathrm{with\:remainder\:of}\:0[/tex]
[tex]200\quad \mathrm{Remainder}\quad \:0[/tex]
Please check the figure b for a long division breakdown.
[tex]\frac{400}{5}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{400}{5}\:\mathrm{is}\:80\:\mathrm{with\:remainder\:of}\:0[/tex]
[tex]80\quad \mathrm{Remainder}\quad \:0[/tex]
Please check the figure b for a long division breakdown.
[tex]\frac{400}{10}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{400}{10}\:\mathrm{is}\:40\:\mathrm{with\:remainder\:of}\:0[/tex]
[tex]40\quad \mathrm{Remainder}\quad \:0[/tex]
Please check the figure b for a long division breakdown.
Keywords: divisible, number
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