Question

Find all the decimals that are equivalent to (4 times 10) + (7 times {1}/{100})

A) 40.7
B) 40.07
C) 4.7
D) 40.070
E) 4.70
F) 40.70

Answer 1

The equivalent decimals to the expression are 40.07, 40.070, and 40.70. These represent the same numerical value, where trailing zeroes do not alter the decimal's value.

Step-by-step explanation:

We are tasked with finding decimals that are equivalent to the expression (4 times 10) + (7 times {1}/{100}).

Firstly, calculate the expression:

(4 * 10) gives us 40.

(7 * {1}/{100}) is the same as 0.07.

Adding these two together, we get 40 + 0.07 which equals 40.07.

Therefore, the answer is 40.07, but we are also looking for other decimals equivalent to this. Option B) 40.07 is the straightforward calculation of the given expression. Moreover, adding trailing zeroes does not change the value of a decimal. Thus, Option D) 40.070 and Option F) 40.70 are also equivalent. Option E) 4.70 is not equivalent because it represents 4 and 70 hundredths instead of 40 and 7 hundredths.