Use the Inverse Property to find the number that makes the mathematical statement −5/7⋅[?]=1 true.

-5/7
7/5
5/7
-7/5

To find the number that makes the statement true, we need to find the multiplicative inverse of -5/7.

The multiplicative inverse of any number a is the number such that a multiplied by its multiplicative inverse equals 1. In other words, if we multiply a by its multiplicative inverse, the result will always be 1.

The multiplicative inverse of -5/7 can be found by taking the reciprocal of -5/7, which is obtained by flipping the numerator and the denominator:

Reciprocal of -5/7 = -7/5

Therefore, the number that makes the mathematical statement -5/7 ⋅ [?]= 1 true is -7/5.

Use the Identity Property to find the number that makes the expression m+[?]−1.1 equivalent to m−1.1

1
1.1
0
-1.

To find the number that makes the expression equivalent, we need to use the Identity Property of Addition, which states that the sum of any number and 0 is equal to the original number.

In this case, the expression is m + [?] - 1.1.

To make it equivalent to m - 1.1, we need to find the value that, when added to m and subtracted by 1.1, results in m - 1.1.

Following the Identity Property, we know that adding 0 to any number does not change the value of that number.

Therefore, the number that makes the expression equivalent is 0.