Question

There are 1000 grams in a kilogram. How many grams is 2.25 kilograms?

Answer 1

Hint: In this question, we are given the number of grams in one kilogram and we need to find the number of grams in 2.25 kilogram. For this we will multiply the given grams in one kilogram by 2.25 to get the number of grams in 2.25 kilograms. For multiplication we will first write the decimal number in the form of fraction and then multiply it with the given number.

Complete step by step answer:
Here we are given that the number of grams in one kilogram are 1000 and we need to find the number of grams in 2.25 kilograms. As we know, if we are given a quantity of one item and we need to find a quantity of n number of items then we simply use the multiplication to find our answer. Here we have the same case. So we will use multiplication here.
Number of grams in one kilogram is equal to 1000g. Therefore the number of grams in 2.25 kilograms will be the product of the number of grams in one kilogram i.e, 1000 by 2.25.
Hence the number of grams in 2.25 kilograms will be given by $2.25\times 1000$.
For multiplying decimal with an integer, let us simplify the decimal by converting it into fraction.
We have decimal as 2.25. There are two digits after the decimal point so we will have two zeroes in the denominator after 1. Hence 2.25 can be written as $\dfrac{225}{100}$.
So we just need to perform the multiplication as $\dfrac{225}{100}\times 1000$.
Since 1000 can be divided by 100 also. So dividing 1000 by 100 we get 10. Hence the multiplication becomes $225\times 10=2250$.
Therefore the product of 2.25 with 1000 is equal to 2250.
Hence there are 2250 grams in 2.25 kilograms.

Note:
Students should carefully perform the multiplication between decimal numbers and integers. Students often get confused between multiplication and division for solving this type of sums. Note that, while going from higher quantity (kilograms) to lower quantity (grams) we always use multiplication and we use division while going from lower quantity to higher quantity.