4.56*3.6/0.12 express in standard form show working
4.56*3.6 / 0.12
= 16.416/0.12
= 136.8
Please solve and add solution
To express the given expression in standard form, we need to multiply and divide the numbers in a way that the result is written in the form A × 10^B, where A is a number between 1 and 10, and B is an integer. Here's how to do it step-by-step:
1. Multiply 4.56 by 3.6:
4.56 * 3.6 = 16.416
2. Divide the result by 0.12:
16.416 / 0.12 = 136.8
3. Now, let's express 136.8 in standard form:
Since 136.8 is greater than 10, we need to divide it by 10 until it is a number between 1 and 10.
Dividing 136.8 by 10 gives us:
136.8 ÷ 10 = 13.68
Dividing 13.68 by 10 again gives us:
13.68 ÷ 10 = 1.368
Dividing 1.368 by 10 once more gives us:
1.368 ÷ 10 = 0.1368
4. Finally, we multiply this number by 10 raised to the power of the number of times we divided by 10. Since we divided by 10 three times, the exponent is -3 (negative because we divided):
0.1368 × 10^-3 = 0.0001368
Therefore, the expression 4.56 * 3.6 / 0.12 expressed in standard form is 0.0001368 (rounded to four decimal places).