(a) To multiply 2.05 and 1.3, we first ignore the decimal points and multiply the numbers as if they were whole numbers:
205 x 13 = 2665
Next, we count the total number of decimal places in the numbers being multiplied, which in this case is 2 (one decimal place in 2.05 and one decimal place in 1.3). We place the decimal point in the answer so that it has the same number of decimal places, which is 2:
2.05 x 1.3 = 2.665
Expressing the answer in the form p/q, we get:
2.05 x 1.3 = 2.665 = 2665/1000 = 533/200
Therefore, 2.05 x 1.3 = 533/200.
(b) To multiply 3.9, 1.3, and 0.5, we first multiply 3.9 and 1.3:
3.9 x 1.3 = 5.07
Next, we multiply the result by 0.5:
5.07 x 0.5 = 2.535
We count the total number of decimal places in the numbers being multiplied, which in this case is 3 (one decimal place in 3.9, one decimal place in 1.3, and one decimal place in 0.5). We place the decimal point in the answer so that it has the same number of decimal places, which is 3:
Answers & Comments
Answer:
(a) To multiply 2.05 and 1.3, we first ignore the decimal points and multiply the numbers as if they were whole numbers:
205 x 13 = 2665
Next, we count the total number of decimal places in the numbers being multiplied, which in this case is 2 (one decimal place in 2.05 and one decimal place in 1.3). We place the decimal point in the answer so that it has the same number of decimal places, which is 2:
2.05 x 1.3 = 2.665
Expressing the answer in the form p/q, we get:
2.05 x 1.3 = 2.665 = 2665/1000 = 533/200
Therefore, 2.05 x 1.3 = 533/200.
(b) To multiply 3.9, 1.3, and 0.5, we first multiply 3.9 and 1.3:
3.9 x 1.3 = 5.07
Next, we multiply the result by 0.5:
5.07 x 0.5 = 2.535
We count the total number of decimal places in the numbers being multiplied, which in this case is 3 (one decimal place in 3.9, one decimal place in 1.3, and one decimal place in 0.5). We place the decimal point in the answer so that it has the same number of decimal places, which is 3:
3.9 x 1.3 x 0.5 = 2.535
Expressing the answer in the form p/q, we get:
3.9 x 1.3 x 0.5 = 2.535 = 2535/1000 = 507/200
Therefore, 3.9 x 1.3 x 0.5 = 507/200.
Step-by-step explanation: