Page 172 - NUMINO Challenge_M2
P. 172
Type Study A^B=A. Any number multiplied by 1 is the number itself, so B=1.
The remaining numbers 0, 2, 3, and 4 that complete E-C=C are C=2, E=4.
B+C=D D=1+2=3
A is the last remaining number, 0.
Problem solving
1 ^5=5 =1 and .
^ =28 and - =3. Complete the table to find
Number represented by 28 14 7
Number represented by 12 4
28 28 28
27 12 3
=1, =7, =4 The greatest 3-digit number that can be made is 741.
2 If A^E=A, E=1. If C-D=D-E, then C is greater than D.
C+D+E=A C+D+1=A. If the remaining numbers are used to make the
expression true, then A is the greatest number, 9.
B+E=C+D B+1=C+D. If the remaining numbers, 3, 5, and 7, are used
to make the expression true, the expression would be 7+1=5+3. Therefore,
B=7, C=5, D=3.
A=9, B=7, C=5, D=3, E=1
35Answer Key
The remaining numbers 0, 2, 3, and 4 that complete E-C=C are C=2, E=4.
B+C=D D=1+2=3
A is the last remaining number, 0.
Problem solving
1 ^5=5 =1 and .
^ =28 and - =3. Complete the table to find
Number represented by 28 14 7
Number represented by 12 4
28 28 28
27 12 3
=1, =7, =4 The greatest 3-digit number that can be made is 741.
2 If A^E=A, E=1. If C-D=D-E, then C is greater than D.
C+D+E=A C+D+1=A. If the remaining numbers are used to make the
expression true, then A is the greatest number, 9.
B+E=C+D B+1=C+D. If the remaining numbers, 3, 5, and 7, are used
to make the expression true, the expression would be 7+1=5+3. Therefore,
B=7, C=5, D=3.
A=9, B=7, C=5, D=3, E=1
35Answer Key
