Answer
Verified
378k+ views
Hint:Here from the question we know that both Mia and Paul are correct and both are looking at the same number and rounding off it to the nearest $1000's$ and $10's$ respectively. So for answering this question we will see for the range of values that will result in 44000 when they are rounded off to the nearest $1000's$ and to the nearest$10's$ .
Complete step by step answer:
From the basic concept of rounding off to the nearest ten,
If a number we are rounding is followed by\[5,\text{ }6,\text{ }7,\text{ }8,\text{ }or\text{ }9\], round the number up, that means to the higher$10's$. Example: $58$ rounded to the nearest ten is$60$.
If the number we are rounding is followed by 0, 1, 2, 3, or 4, round the number down, that is to the lower$10's$. Example: $23$ rounded to the nearest ten is$20$.
From the basic concept rounding off to the nearest$1000's$,
If a number we are rounding is followed by\[500,\text{ }600,\text{ }700,\text{ }800,\text{ }or\text{ }900\], round the number up, that means to the higher$1000's$. Example: $7800$ rounded to the nearest$1000's$ is$8000$.
If the number we are rounding is followed by\[0,\text{ }100,\text{ }200,\text{ }300,\text{ }or\text{ }400\], round the number down, that is to the lower$1000's$. Example: $3400$ rounded to the nearest $1000's$ is$3000$.
Here in this question, it is given that Mia and Paul are looking at the same number.
According to the point of view of Mia when the number is rounded to the nearest $1000's$,
it gives $44000$. This implies that the number is in between\[44000\text{ }to\text{ }44499\].
According to the point of view of Paul when the number is rounded to the nearest$10's$, it gives$44000$ . This implies that the number is in between\[44000\text{ }to\text{ }44005\].
According to the question both are correct, the possible value of the number will be in between\[44000\text{ and }44005\].
Note:
While trying to answer this question we should be careful with the concept of rounding off if we unfortunately rounded off the numbers incorrectly and answered the question as range between\[44000\text{ }to\text{ }44009\text{ }or\text{ }44000\text{ }to\text{ }44999\]. It will be a complete wrong answer.
Complete step by step answer:
From the basic concept of rounding off to the nearest ten,
If a number we are rounding is followed by\[5,\text{ }6,\text{ }7,\text{ }8,\text{ }or\text{ }9\], round the number up, that means to the higher$10's$. Example: $58$ rounded to the nearest ten is$60$.
If the number we are rounding is followed by 0, 1, 2, 3, or 4, round the number down, that is to the lower$10's$. Example: $23$ rounded to the nearest ten is$20$.
From the basic concept rounding off to the nearest$1000's$,
If a number we are rounding is followed by\[500,\text{ }600,\text{ }700,\text{ }800,\text{ }or\text{ }900\], round the number up, that means to the higher$1000's$. Example: $7800$ rounded to the nearest$1000's$ is$8000$.
If the number we are rounding is followed by\[0,\text{ }100,\text{ }200,\text{ }300,\text{ }or\text{ }400\], round the number down, that is to the lower$1000's$. Example: $3400$ rounded to the nearest $1000's$ is$3000$.
Here in this question, it is given that Mia and Paul are looking at the same number.
According to the point of view of Mia when the number is rounded to the nearest $1000's$,
it gives $44000$. This implies that the number is in between\[44000\text{ }to\text{ }44499\].
According to the point of view of Paul when the number is rounded to the nearest$10's$, it gives$44000$ . This implies that the number is in between\[44000\text{ }to\text{ }44005\].
According to the question both are correct, the possible value of the number will be in between\[44000\text{ and }44005\].
Note:
While trying to answer this question we should be careful with the concept of rounding off if we unfortunately rounded off the numbers incorrectly and answered the question as range between\[44000\text{ }to\text{ }44009\text{ }or\text{ }44000\text{ }to\text{ }44999\]. It will be a complete wrong answer.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE