i need to use mental math and the distributive property to simplify:
can you pls check if this correct?
a) 19(-6) i got: -114
or do i do like this:
10*(-6)=-60
9*(-6) =-54
-60 + -54= -114
b) 102* $21 i got: $2142
or do i do mental math like this:
100*21 = 2100
2 * 21 = 42
2100 + 42 = $2142
c) 26*97 i got: 2522
or do i do mental math like this:
20 * 97 = 1940
6* 97 = 582
1940 + 582 = 2522
d) 9 * $4.98 i got: $44.82
or do i do mental math like this:
9 * $4.00 = $36.00
9*.98 = 8.82
36.00 + 8.82 = $44.82
a) You have correctly applied the distributive property to simplify the expression. The expression 19(-6) can be broken down into 10*(-6) + 9*(-6). This gives you -60 + -54, which equals -114. Therefore, your answer of -114 is correct.
b) Again, you have correctly used the distributive property to simplify the expression. The expression 102 * $21 can be broken down into 100 * 21 + 2 * 21. This gives you 2100 + 42, which equals $2142. Therefore, your answer of $2142 is correct.
c) Once again, you have used the distributive property correctly. The expression 26 * 97 can be broken down into 20 * 97 + 6 * 97. This gives you 1940 + 582, which equals 2522. Therefore, your answer of 2522 is correct.
d) You have not used the distributive property in this case, but your answer is still correct. To simplify 9 * $4.98, you can do mental math as follows: 9 * $4.00 = $36.00 and 9 * $0.98 = $8.82. Adding these two results together gives you $36.00 + $8.82 = $44.82. Therefore, your answer of $44.82 is correct.