Ritesh rounded a number to the nearest 10 and Malek rounded the same number to the nearest 100 but both got the same answer. Which of the following could be the number?
A - 75
B - 92
C - 96
D - 107
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Answers
Given :- Ritesh rounded a number to the nearest 10 and Malek rounded the same number to the nearest 100 but both got the same answer. Which of the following could be the number?
A - 75
B - 92
C - 96
D - 107
Solution :-
we know that, :-
- When rounding to the nearest hundred, look at the tens digit of the number.
- If that digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred. { The hundreds digit does not change.}
- If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred. { The hundreds digit increases by one.}
- All rest digits changes into 0.
- While rounding to nearest 10 , we have check for unit digit .
checking all options we get,
A) 75
→ Rounding off to nearest 10 = unit digit 5 => 80
→ Rounding off to nearest 100 = ten's digit 7 => 100
B) 92
→ Rounding off to nearest 10 = unit digit 2 => 90
→ Rounding off to nearest 100 = ten's digit 9 => 100
C) 96
→ Rounding off to nearest 10 = unit digit 6 => 100
→ Rounding off to nearest 100 = ten's digit 9 => 100
D) 107
→ Rounding off to nearest 10 = unit digit 7 => 110
→ Rounding off to nearest 100 = ten's digit 0 => 100
therefore, from given options (C) 96 is required number .
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Answer:
C)
Step-by-step explanation:
Given :- Ritesh rounded a number to the nearest 10 and Malek rounded the same number to the nearest 100 but both got the same answer. Which of the following could be the number?
A - 75
B - 92
C - 96
D - 107
Solution :-
we know that, :-
When rounding to the nearest hundred, look at the tens digit of the number.
If that digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred. { The hundreds digit does not change.}
If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred. { The hundreds digit increases by one.}
All rest digits changes into 0.
While rounding to nearest 10 , we have check for unit digit .
checking all options we get,
A) 75
→ Rounding off to nearest 10 = unit digit 5 => 80
→ Rounding off to nearest 100 = ten's digit 7 => 100
B) 92
→ Rounding off to nearest 10 = unit digit 2 => 90
→ Rounding off to nearest 100 = ten's digit 9 => 100
C) 96
→ Rounding off to nearest 10 = unit digit 6 => 100
→ Rounding off to nearest 100 = ten's digit 9 => 100
D) 107
→ Rounding off to nearest 10 = unit digit 7 => 110
→ Rounding off to nearest 100 = ten's digit 0 => 100
therefore, from given options (C) 96 is required number .
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