Charles, Zayeer, and Kali are trying to simplify 1,000 2/3. Charles says the correct simplification is 10 because 1,000=10⋅10⋅10 and 1,000 2/3=10. Zayeer says the correct simplification is 1,000 because 1,000=10⋅10⋅10→1,000 2/3=10⋅10⋅10=1,000. Kali says the correct simplification is 100 because 1,000=10⋅10⋅10→1,000 2/3=10⋅10=100. Who has the correct value? show your work(1 point)
Kali
Kali
none of them
none of them
Charles
Charles
Zayeer
Zayeer
None of them has the correct value.
To simplify 1,000 2/3, we first convert the fraction to a decimal:
2/3 = 0.666 (rounded to three decimal places)
Then we multiply this decimal by 1,000:
1,000 * 0.666 = 666.667 (rounded to three decimal places)
Therefore, the correct simplification of 1,000 2/3 is 666.667.
Kali has the correct value.
To simplify 1,000 2/3, we need to multiply 1,000 by 2/3.
1,000 * 2/3 = (1,000 * 2) / 3 = 2,000 / 3.
Now, let's simplify 2,000 / 3.
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 2,000 and 3 is 1.
Divide both the numerator and the denominator by their GCD:
2,000 / 3 = 2,000 ÷ 1 / 3 ÷ 1 = 2,000 / 3.
So, the simplified form of 1,000 2/3 is 2,000 / 3.
Therefore, Charles, Zayeer, and Kali are all incorrect in their simplifications. None of them have the correct value.