A box of granola contains 0.414 kilograms of cereal. How many grams of cereal are there in the box?
In this question, we’re given an amount in kilograms. The cereal weighs 0.414 kilograms. We’re asked how many grams of cereal there are in the box. We’re being asked to convert 0.414 kilograms into grams. Let’s just remind ourselves that there are 1000 grams in one kilogram. So, to convert from kilograms to grams, we need to multiply by 1000.
To help us multiply by 1000, we can use a place value chart. When we multiply by 1000, the digits move three places to the left, one, two, three. Let’s start by moving the zero, one, two, three. We don’t actually need this zero because it’s not worth anything. Now, we need to multiply our four-tenths by 1000 by moving the digit three places to the left, one, two, three. Our four-tenths are now worth four hundreds, or 400.
Next, we need to move the one digit. It was worth one hundredth. And if we multiply a hundredth by 1000, the answer is 10. One hundredth has become one ten. The final digit is the four digit, which we’ve moved three places to the left. It was worth one thousandth. Now it’s worth four ones. 0.414 kilograms converted into grams is 414 grams. To convert from kilograms to grams, we multiplied by 1000. There is 414 grams of cereal in the box.