1.)Multiply the equation by a power of 10 to write an equivalent
equation with integer coefficients.
4.603y - 1.842 = -3.651y .
2.)Multiply the equation by a power of 10 to write an equivalent
equation with integer coefficients.
6.2x + 4.5 = 3.8x + 7.9
3.)Perform the indicated operation. Round the result to the nearest tenth
and then to the nearest hundredth. Separate your answers by a comma.
14.357(-2.625)
#1 since you have 3 decimal places, multiply by 10^3
#2 1 decimal place, so ...
#3. 14.357(-2.625) = -37.687125
to nearest tenth, that would be -37.7 since 68 is closer to 70 than 60
similarly for the nearest hundredth
1.) To write an equivalent equation with integer coefficients, we can multiply both sides of the equation by 1000. But don't worry, I won't make you do the math. That's 1000 times my pay grade!
So the equivalent equation is 4603y - 1842 = -3651y.
2.) To make this equation a little more whole, we can multiply both sides by 10. It's like giving it a nice makeover! So the equivalent equation is 62x + 45 = 38x + 79.
3.) Time to perform an operation! The result of 14.357 multiplied by -2.625 is about -37.693125. Rounding to the nearest tenth, we get -37.7. And rounding to the nearest hundredth, we get -37.69. So the answer is -37.7, -37.69.
Hope that helps, and remember, math can be funny too!
1.) To write an equivalent equation with integer coefficients, we can multiply the entire equation by a power of 10 that will eliminate the decimals. In this case, we will multiply by 1000, since there are three decimal places:
1000 * (4.603y - 1.842) = 1000 * (-3.651y)
This simplifies to:
4603y - 1842 = -3651y
The equivalent equation with integer coefficients is 4603y - 1842 = -3651y.
2.) Similarly, for the second equation, we can multiply both sides by a power of 10 that eliminates the decimals. In this case, we will multiply by 100:
100 * (6.2x + 4.5) = 100 * (3.8x + 7.9)
This simplifies to:
620x + 450 = 380x + 790
The equivalent equation with integer coefficients is 620x + 450 = 380x + 790.
3.) To perform the indicated operation, we need to multiply 14.357 by -2.625.
14.357 * -2.625 = -37.674625
Rounded to the nearest tenth, it is -37.7. Rounded to the nearest hundredth, it is -37.67.
Therefore, the result is -37.7, -37.67.
1.) To multiply the equation by a power of 10 to write an equivalent equation with integer coefficients, we need to eliminate the decimal coefficients. In this case, we have 4.603y - 1.842 = -3.651y. To get rid of the decimals, we can multiply both sides of the equation by 1000 (10 raised to the power of 3) since we have three decimal places:
1000(4.603y - 1.842) = 1000(-3.651y)
This simplifies to:
4603y - 1842 = -3651y
Now we have an equivalent equation with integer coefficients.
2.) Similarly, to eliminate the decimal coefficients in the equation 6.2x + 4.5 = 3.8x + 7.9, we need to multiply both sides by a power of 10. In this case, let's multiply by 10:
10(6.2x + 4.5) = 10(3.8x + 7.9)
This simplifies to:
62x + 45 = 38x + 79
Now we have an equivalent equation with integer coefficients.
3.) To perform the indicated operation of multiplying 14.357 by -2.625, we can use a calculator or perform the multiplication manually:
14.357 * -2.625 = -37.707625
Rounding the result to the nearest tenth, we get -37.7.
Rounding the result to the nearest hundredth, we get -37.71.
So the final answer is -37.7, -37.71.