Question

Which expression has the same value as (0.06)X(0.154)? Select ALL that apply. A. 6 x 1/100 x 154 x 1/1000 B. 6 x 154 x 1/100,000 C. 6 x(0.1) x 154 x (0.01) D. 6 x 154 x (0.00001) E. 0.00924

Answer 1

Answer:

Options A, B, D and E.

Step-by-step explanation:

Given the expression

(0.06)X(0.154)

We want to determine the expression that has the same value as the above from the options.

(A) 6 x 1/100 x 154 x 1/1000

0.06=$\frac{6}{100}$

0.154=$\frac{154}{1000}$

Therefore:

0.06X0.154=$\frac{6}{100} X \frac{154}{1000}=6 X \frac{1}{100} X 154 X\frac{1}{1000}$

B)6 x 154 x 1/100,000

0.06=$\frac{6}{100}$

0.154=$\frac{154}{1000}$

Therefore:

0.06X0.154=$\frac{6}{100} X \frac{154}{1000}$

=$6 X \frac{1}{100} X 154 X\frac{1}{1000}$

=$6 X 154 X \frac{1}{100} X \frac{1}{1000}$

=$6 X 154 X \frac{1}{100000}$

(D)6 x 154 x (0.00001)

0.06=$\frac{6}{100}$

0.154=$\frac{154}{1000}$

Therefore:

0.06X0.154=$\frac{6}{100} X \frac{154}{1000}$

=$6 X \frac{1}{100} X 154 X\frac{1}{1000}$

=$6 X 154 X \frac{1}{100} X \frac{1}{1000}$

=$6 X 154 X \frac{1}{100000}$

=$6 X 154 X 0.00001$

(E) By direct multiplication

0.06 X 0.154=0.00924

Consider Option C

0.06= 6 X 0.01

0.154=154 X 0.001

Therefore option C is incorrect.