Give the approximate of the measurement to the nearest kilogram:
[tex]$103725.4 g$[/tex]
Answer (1)
Convert grams to kilograms: 1000 103725.4 = 103.7254 kg.
Round the result to the nearest kilogram: 103.7254 ≈ 104 kg.
The approximate measurement to the nearest kilogram is 104 .
Explanation
Problem Analysis We are given a measurement of 103725.4 grams and asked to approximate it to the nearest kilogram. To do this, we need to convert grams to kilograms and then round to the nearest whole number.
Grams to Kilograms Conversion First, we convert the measurement from grams to kilograms. Since there are 1000 grams in a kilogram, we divide the given measurement by 1000: 1000 103725.4 = 103.7254 kg
Rounding to Nearest Kilogram Next, we round the result to the nearest whole number. Since the decimal part is 0.7254 , which is greater than 0.5 , we round up to the next whole number: 103.7254 ≈ 104 kg
Final Answer Therefore, the approximate of the measurement to the nearest kilogram is 104 kg.
Examples
In practical situations, approximating measurements to the nearest whole unit is often useful for quick estimations and simplifications. For example, when dealing with shipping weights, knowing the weight to the nearest kilogram can help in estimating shipping costs or determining if a package meets weight restrictions. If you have several packages weighing a total of 103725.4 grams, you can quickly approximate this to 104 kilograms for logistical purposes.
