✔ 最佳答案
Working problems like these can help you improve your math skills. They develop your arithmetic, number sense, and logical thinking skills.
I decided to start with #8.
Only one of the numbers being added has a decimal. The right side of the equation tells you that is 4. The number on the left has a units digit of 8. When that number is added to the 8 of the number on the right side of the equal sign, the resulting units digit will be 6. Now you know the two right-most boxes are filled with 6.4. Only two of the possible answer choices contain both a 6 and a 4. Trying [4, 6, 7, 8], we must have
.. -78 + 86.4 = 18.4 ... not true
We can see this fails because the leftmost digit of _8 must be greater by 2 than the tens digit of _6.4. This leaves the correct choice for probem 8 as [3, 4, 5, 6] and makes the expression read -38 + 56.4 = 18.4.
problem #1
You have some fraction _/_ from which you are subtracting _/2 to get the result -1 1/10. When you consider what fractions will differ from 1/2 by 1/10, you realize the denominator must be 5. For example, 2/5 - 1/2 = -1/10. Given our choice of answers for problem #8, only one selection remains that has a 5 in it: [1, 2, 3, 5]. If we fill in the fraction boxes with 2/5 and 1/2, that leaves only 3 for the integer portion of the leftmost number. The expression is then 3 2/5 - 4 1/2 = -1 1/10, which is a true statement.
problem #2
Using a strategy similar to that for problem #8, we note that one of the decimal fraction digits must be 8 and another one must be 9. Only [2, 3, 8, 9] allows that possibility. The expression must be -2.58 + 37.9 = 35.32.