Question

Solve the following:
$1.5\times 0.3$
Ans: 0.45
(a) True
(b) False

Answer 1

Hint: Here, we will first multiply the given numbers after removing their decimal signs and then we will put the decimals point at last using the rules for multiplication of decimals.

Complete step-by-step answer:
Here, we have been two decimal numbers, 1.5 and 0.3. We have to find their product. According to the rules of multiplication of decimal numbers, we will first write these numbers just as if they are whole numbers, i.e. by removing the decimal points from them and then we will multiply them.
So, after removing the decimal points from these two given numbers, we can write them as:
1.5 as 15 and 0.3 as 3.
Now, the multiplication of these two numbers formed after removing the decimal points will be:
$15\times 3=45$
Now, we will put the decimal point.
Here, the sum of the decimal places in both numbers is equal to 2 as there are one digit in both of these numbers after the decimal.
So, we will put a decimal point after two digits from the right of 45. So, after putting the decimal point in 45, we get 0.45.
Therefore, 0.45 is the product of the numbers 1.5 and 0.3.
So, the given statement is true.
Hence, option (a) True, is the correct answer.

Note: Students should note here that while finding the place at which we will put the decimal point, we always sum up the number of digits that come after the decimal point in the numbers that have to be multiplied and then put the decimal point in the product after the same number of digits starting from right.