Please check my work.
1) 64 divide -4 = -16
2) -144 divide (-9) = 16
3) Simplify -9 and a small 2 = -81
4) Simplify (-3) and a small 3 = -27
5) Add -4/11 + 5/11 = 1/11
6) subtract 5/11- [-3/11] = 8/11
7) multiply [-7/8] • [-2/4] = 7/16
8) divide -3.5 -5.6 = -0.63
9) classify the given number.
-4/9 = Real
10) find the expression.
-128 divide 4 and small2 + 6-1 = -15
11) find the value of expression.
3•45 divide 9 - 2 (10 -6) - 4 divide 2 = -13
Please check my work and explain what I have done wrong.
Corrections:
3) ( - 9 ) * ( - 9 ) = 81
When you square a negative number you ALWAYS get a positive result.
8) -3.5 / -5.6 = -0.625
10) -128 / ( 4 * 4 ) = -128 / 16 = -8
-128 / ( 4 * 4 ) + 6 - 1 = - 8 + 6 + 1 = -3
11) 3 * 45 = 135
135 / 9 = 15
[ 2 ( 10 - 6 ) - 4 / 2 ] = ( 2 * 4 - 4 ) / 2 =
(8 - 4 ) / 2 = 4 / -2 = 2
( 3 * 45 /9 ) - [ 2 * ( 10 - 6 ) - 4 ] / 2 =
15 - 2 = 13
1) Correct. To divide 64 by -4, you divide the absolute values (64 divided by 4) and then assign the negative sign based on the signs of the numbers.
2) Correct. A negative number divided by a negative number yields a positive result.
3) Incorrect. To raise -9 to the power of 2, you multiply the number by itself: (-9) * (-9) = 81. Since the base is negative, the result is negative, so -81 is the correct answer.
4) Incorrect. To raise -3 to the power of 3, you multiply the number by itself three times: (-3) * (-3) * (-3) = -27. Your answer is correct.
5) Correct. To add fractions, you need a common denominator, which in this case is 11. -4/11 + 5/11 = 1/11.
6) Incorrect. To subtract fractions, you need a common denominator. The correct calculation should be 5/11 - (-3/11) = 8/11.
7) Correct. To multiply fractions, you multiply the numerators together and the denominators together: (-7/8) * (-2/4) = 7/16.
8) Incorrect. To divide -3.5 by -5.6, you divide the absolute values (3.5 divided by 5.6) and then assign the negative sign based on the signs of the numbers. The correct answer is approximately 0.625.
9) Incorrect. The classification of -4/9 is not "Real," it is a rational number. The set of real numbers includes rational and irrational numbers, while rational numbers can be expressed as fractions or decimals.
10) Correct. To evaluate the expression -128 / (4^2) + 6 - 1, you need to follow the order of operations (PEMDAS/BODMAS): first calculate the exponent (4^2 = 16), then perform the division (-128 / 16 = -8), and finally add and subtract (-8 + 6 - 1 = -3).
11) Correct. To evaluate the expression 3 * 45 / 9 - 2 * (10 - 6) - 4 / 2, you need to follow the order of operations: first calculate the multiplication (3 * 45 = 135 and 2 * (10 - 6) = 8), then perform the division (135 / 9 = 15 and 8 / 2 = 4), and finally subtract (15 - 4 - 4 = 7).