Multiply: (−0.972)(−0.635)
2 answers:
Answer: 0.61722
Step-by-step explanation:
If you are doing this with hand on paper, you need to set it up first.
(First picture)
You start with the 5, multiplying 5 by each of the top numbers.
1. 5 x 2 = 10, so you write 0 underneath the line and carry the 1.
2. 5 x 7 = 35, + the carried 1 = 36, so you write 6 and carry the 3.
3. 5 x 9 = 45, + the carried 3 = 48, so you write 8 and carry the 4.
4. 5 x 0 = 0, + the carried 4 = 4, so you write 4 without a carry number.
The first line in 4860.
(Second picture)
Next is the 3, but underneath 4860, write a 0 underneath the 0 of 4860, because you're starting on the next decimal place. If you need to, cross out the 5 in -0.635 to help you focus. Multiply the 3 by each of the top numbers, just like the first time.
0. Put a 0 as a placeholder.
1. 3 x 2 = 6, so you write 6 underneath without a carry number.
2. 3 x 7 = 21, so you write 1 and carry the 2.
3. 3 x 9 = 27, + the carried 2 = 29, so you write 9 and carry the 2.
4. 3 x 0 = 0, + the carried 2 = 2, so you write 2 without a carried number.
The second line is 29160.
(Third picture)
Next is 6. Repeat the same process as the last steps, but this time add two 0s for the placeholders.
0. Put two 0s as placeholders, so your two starting numbers are 00.
1. 6 x 2 = 12, so you write 2 and carry the 1.
2. 6 x 7 = 42, + the carried 1 = 43, so you write the 3 and carry the 4.
3. 6 x 9 = 54, + the carried 4 = 58, so you write the 8 and carry the 5.
4. 6 x 0 = 0, + the carried 5 = 5, so you write 5 without a carried number.
The third line is 583200.
(Fourth picture)
Next is 0. The same process would be repeated, but since this time it's 0, you can just fill in seven 0s for the next line, three of which would have been your placeholder. 0 x any number = 0, so you can just fill that line in.
The fourth line is 0000000.
(Fifth picture)
Now that you have all of your multiplication lines, you have to add all of the lines' results together for your answer.
4680 + 29160 + 583200 + 0000000 = 0617220
Now you need to add your decimal point, since you were multiplying decimals. In order to do this, you add the amount of numbers behind the decimal points in your original numbers. 972 and 635 are behind the decimal points, so there are 6 numbers behind the decimal point. This means that you place the decimal point in your answer after 6 numbers, moving to the left.
So your final answer is 0.617220! You can leave off the last 0 if you don't need to round your answer to that decimal place, though. Your answer is positive because two negative numbers multiplied together always equal a positive number.
Hope this helped!
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