Respuesta :
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=[TeX]\frac{6}{100}[/TeX]
0.154=[TeX]\frac{154}{1000}[/TeX]
Therefore:
0.06X0.154=[TeX]\frac{6}{100} X \frac{154}{1000}=6 X \frac{1}{100} X 154 X\frac{1}{1000}[/TeX]
B)6 x 154 x 1/100,000
0.06=[TeX]\frac{6}{100}[/TeX]
0.154=[TeX]\frac{154}{1000}[/TeX]
Therefore:
0.06X0.154=[TeX]\frac{6}{100} X \frac{154}{1000}[/TeX]
=[TeX]6 X \frac{1}{100} X 154 X\frac{1}{1000}[/TeX]
=[TeX]6 X 154 X \frac{1}{100} X \frac{1}{1000}[/TeX]
=[TeX]6 X 154 X \frac{1}{100000}[/TeX]
(D)6 x 154 x (0.00001)
0.06=[TeX]\frac{6}{100}[/TeX]
0.154=[TeX]\frac{154}{1000}[/TeX]
Therefore:
0.06X0.154=[TeX]\frac{6}{100} X \frac{154}{1000}[/TeX]
=[TeX]6 X \frac{1}{100} X 154 X\frac{1}{1000}[/TeX]
=[TeX]6 X 154 X \frac{1}{100} X \frac{1}{1000}[/TeX]
=[TeX]6 X 154 X \frac{1}{100000}[/TeX]
=[TeX]6 X 154 X 0.00001[/TeX]
(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.
The expressions that have the same value as the decimals are 6 x 1/100 x 154 x 1/1000 B. 6 x 154 x 1/100,000 D. 6 x 154 x (0.00001) E. 0.00924.
What is a decimal?
A decimal is used to denote integers and non integers. An example of a decimal is 13.12.
- 1 is the tens value. It the first number to the left of the decimal point. It is equivalent to 1 x 10.
- 3 is the unit value. It the second number to the left of the decimal point. It is equivalent to 3 x 1.
- 1 is the tenth value. It is the first number after the decimal point. It is equivalent to 1 x 1/10.
- 2 is the hundredth value. It is the second number after the decimal point. It is equivalent to 2 x 1/100.
What are 0.06 and 0.154 equivalent to?
- 0.06 is equivalent to 6/100
- 0.154 is equivalent to 1/1000.
- 0.06 x 0.154 = 0.00924
To learn more about decimals, please check: https://brainly.com/question/21302352
