Answer:
0.3
Step-by-step explanation:
Use “Bus stop” long division.
1/3 is the same as saying 1÷3, or “how many times does 3 go into 1”
3| 1.000
How many times does 3 go into 1? Zero remainder one. We take the one over into the next column. So now we have:
3| 0.¹000
0
So, how many 3s go into 10? Three with one remaining. We take the one into the next column again.
3| 0.0¹00
How many 3s go into 10? 3 again, remainder 1.
3| 0.00¹0
0.33
This process continues until you end up with no remainder - but that doesn't ever happen in the decimal expansion of 1/3,
1/3=0.333… with recurring (infinitely repeating) 3s, and that's why we tend to prefer factions where we can use them.
13 =0.3
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Answers & Comments
Answer:
0.3
Step-by-step explanation:
Use “Bus stop” long division.
1/3 is the same as saying 1÷3, or “how many times does 3 go into 1”
3| 1.000
How many times does 3 go into 1? Zero remainder one. We take the one over into the next column. So now we have:
3| 0.¹000
0
So, how many 3s go into 10? Three with one remaining. We take the one into the next column again.
3| 0.0¹00
0.3
How many 3s go into 10? 3 again, remainder 1.
3| 0.00¹0
0.33
This process continues until you end up with no remainder - but that doesn't ever happen in the decimal expansion of 1/3,
1/3=0.333… with recurring (infinitely repeating) 3s, and that's why we tend to prefer factions where we can use them.
13 =0.3
Hope my answer help
The decimal form of 1/3 can be written by dividing 1 by 3.
1 ÷ 3 = 0.3333
The quotient is non-terminating as the digit 3 after the decimal point is repeating.
It is called a non-terminating, recurring decimal number.
Thus, 1/3 is expressed as 0.3333 in its decimal form.