Mathematics: 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

The answer is 13PEMDAS3x2=518-5=13...

Which expression has the same value as (0.06)X(0.154)?

queenjade2614

21.01.2022

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.

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