For 9- complete the operation and explain why you placed the
decimal point where you did.
9. 1.8*0.3=
1.8*0.3 = 0.54
each multiplicand has one decimal place. So, the product has two.
Also, just by observation, 1.8 is almost 2, so the answer should be about twice as big as 0.3 (0.6)
To solve the multiplication problem 1.8 * 0.3, follow these steps:
Step 1: Ignore the decimal point and treat the numbers as whole numbers. Multiply 18 by 3: 18 * 3 = 54.
Step 2: Determine the total number of decimal places in the original numbers. The first number, 1.8, has one decimal place (to the tenths), and the second number, 0.3, has one decimal place (also to the tenths).
Step 3: Add up the total number of decimal places from both numbers. In this case, it is a total of two decimal places.
Step 4: Place the decimal point in the result by counting the total number of decimal places from the right. In our case, it's two decimal places. So, the decimal point will go two places to the left in the result.
Therefore, the result of 1.8 * 0.3 is 0.54. The decimal point was placed after the fourth digit from the right to indicate the two decimal places in the result.
To complete the operation 1.8 * 0.3 and determine the placement of the decimal point, you need to multiply the numbers as you normally would without considering the decimal point.
Step 1: Multiply the whole numbers:
1.8 multiplied by 0.3 gives you 0.54.
Step 2: Determine the placement of the decimal point:
To determine where to place the decimal point in the result, count the total number of decimal places in both the original numbers. In this case, 1.8 has one decimal place, and 0.3 has one decimal place as well.
Now, add the total number of decimal places in both numbers together. In this case, since we have one decimal place in each number, we add 1 + 1, which equals 2.
Finally, position the decimal point in the result by starting from the right and moving the decimal point two places to the left. So, the final result is 0.54.
Therefore, the placement of the decimal point in 1.8 * 0.3 is determined by adding the total number of decimal places in both numbers and placing the decimal point two places to the left.