Find 9.62 x 1.005. Can you please show me step by step because I keep getting the wrong answer. Thanks.

4 answers

Follow these steps.

http://www.mathsisfun.com/multiplying-decimals.html

Your answer should be 9.6681
9.66
Remember to ignore the decimal when multiplying always!

962
x1005
______

1
96(2)
x100(5) 2x5=10 place the 0 under 5 and carry the 1
______
0

3 1
9(6)2 6x5=30. 30+1=31 place the 1 under the 0 and carry the 3
x100(5)
______
10
3
(9)62
x100(5) 9x5=45. 45+3=8 Place 48 below
______
4810 Because you don't have anything else to carry to 4 in 48, after 9 you place it in the answer bracket below, next to your other solved questions.

Now multiply the next numbers, remember to place a (0) when you're multiplying the next set of numbers and always add one (0) to the next set depending on the question.
96(2)
x10(0)5 2x0 =0 this zero goes in the 10 place value directly under the (1)
______
4810
0(0)

9(6)2
x10(0)5 6x0= 0 this zero goes in the 100s place value directly under 8
______
4810
00(0)

(9)62
x10(0)5 9x0= 0 this zero goes in the 1000s place value directly under 4
________
4810
000(0)

Now were done solving, and we will continue to multiply with the next 0 in 1005, now you must place two (0) in the next set.

962
x1005
______
4810
000(0)
(0)(0) The extra (0) should be in the 10s place value with the
previous one being in the 1s place value.
Now you must multiply!

96(2)
x1(0)05
______
4810
96(2)
x1(0)05 2x0=0
______
4810
000(0)
0(0)(0)

9(6)2
x1(0)05 6x0=0
______
4810
000(0)
00(0)(0)

(9)62
x1(0)05 9x0=0
______
4810
000(0)
000(0)(0)

Now we multiply by 1!

96(2)
x (1)005 2x1=2 This goes in the 1000's place value!
______
4810
0000
00000
2(0)(0)(0)

9(6)2
x (1)005 6x1=6 This goes in the 10,000s place value
______
4810
0000
00000
62(0)(0)(0)

(9)62
x (1)005 9x1=9 This goes in the 100,000s place value.
______
4810
0000
00000
962(0)(0)(0)

Now we are done multiplying, let's begin adding up our answers!

4810 0+0+0+0=0
0000 1+0+0+0=1
00000 8+0+0+0=8
+962000 4+2=6
_______ 6+0=6
and 9 is a loner so he has himself :) which = 9
Now you're answer should look like this

966810

Now we add the decimal, 9.62 has two decimal spots between 6 and 2, and the other between 9 and 6!
1.005 has three decimal spots, between 1 and 0, 0 and 0, and 0 and 5, which equals 3.
Add both amount of decimals spots with each other 3+2=5

966810 Now were going to carry the decimal 5 times starting from 0
96681.0 One
9668.10 Two
966.810 Three
96.6810 Four
9.66810 Five

Now remove the 0 because yes, and that's your answer!