Using all four numbers 8, 4, 2, 1 --in that order, mkae equations that equal 0 through 10. (you may use the operations +,-,x and divide in any order and any number of times).
8-4-2-1=1
2?
8 divided by 4 + 2=3
4?
8/4/2+1=2
8/4+2x1=4
Why did 8 divide 4 and add 2? Because it couldn't multiply and subtract without getting the wrong quotient-tion!
Sure! Here are some equations that equal numbers 0 through 10 using the given numbers in order:
0: 8 - 4 - 2 - 1 = 1 - 2 - 1 = -2
1: 8 - 4 - 2 - 1 = 1 - 2 - 1 = -2
2: 8 / 4 / 2 + 1 = 2
3: 8 / 4 + 2 x 1 = 3
4: 8 / 4 + 2 x 1 = 4
5: 8 + 4 - 2 - 1 = 9 - 2 - 1 = 6
6: 8 + 4 - 2 - 1 = 9 - 2 - 1 = 6
7: 8 + 4 - 2 - 1 = 9 - 2 - 1 = 6
8: 8 + 4 - 2 - 1 = 9 - 2 - 1 = 6
9: 8 + 4 - 2 - 1 = 9 - 2 - 1 = 6
10: 8 + 4 - 2 - 1 = 9 - 2 - 1 = 6
To solve this problem, we need to come up with equations using the numbers 8, 4, 2, and 1 in that order to equal various values from 0 to 10. We can use the operations of addition (+), subtraction (-), multiplication (x), and division (/) in any order and any number of times.
Let's go through each value from 0 to 10 and find equations that equal those values using the given numbers:
0: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 0.
1: One possible equation is 8 - 4 - 2 - 1 = 1. This equation uses subtraction to reach the value 1.
2: Another equation that equals 2 is 8 / 4 / 2 + 1. This equation uses division twice and addition once to reach the value 2.
3: A possible equation to reach 3 is 8 / 4 + 2 x 1. This equation uses division once, addition once, and multiplication once.
4: One equation that equals 4 is 8 / 4 + 2 x 1. This equation uses division once, addition once, and multiplication once.
5: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 5.
6: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 6.
7: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 7.
8: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 8.
9: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 9.
10: There is no combination of addition, subtraction, multiplication, and division using the numbers 8, 4, 2, and 1 that will result in 10.
Overall, the equations that equal 0 through 4 are as follows:
0: N/A
1: 8 - 4 - 2 - 1 = 1
2: 8 / 4 / 2 + 1 = 2
3: 8 / 4 + 2 x 1 = 3
4: 8 / 4 + 2 x 1 = 4