Number Sequences
4−8+12−16+20−24+28−32+36−40+44−48
-24
-3(5+2x)+7
-15-6x+7=-8-6x
What is the reciprocal of −7/3?
-3/7
Compute one-half divided by one-sixth.
3
What is the rule for adding numbers with different signs?
Subtract the smaller absolute value from the greater absolute value and keep the sign of the bigger value.
91+92+93+94+95+96+97+98+99
495
-3p-(-8+4p)
-3p+8-4p=8-7p
Find the reciprocal of 11 and 7/12.
12/139
Calculate 11 + (-15) + 11 - (-15) + 11 - 15 - (11 + 15)
-8
Write the equation and solve it. The product of y and 7 is negative 28. What is y?
7y = -28; so y = -4
Joe adds up all the even integers from 2 to 202. Kate adds up all the integers from 1 to 101. What is Joe’s sum divided by Kate’s sum?
2
−2(5y−3)+(−4y+6)
-10y+6-4y+6=-14y+12
Given 4/25×5/36, what is the simplest form of the reciprocal of the product?
45
Simplify (-13) + (-13) ➗ (-13) · (-13) - (-13)
-13
Gary wanted to compute 200 ÷ 10 ÷ 2, and his reasoning was: “Well, 10 ÷ 2 is 5, so 200 ÷ 10 ÷ 2 is the same as 200 ÷ 5, which is 40, so the answer is 40.” Is Gary correct? Why or why not?
No. Division is not associative.
What is the sum -100 + (-99) + (-98) + ... + 97 + 98?
-199
−3(4−2x) + 12−(6x+8)
-8
What is the reciprocal of 2/3 to the power of 5?
729/32
(-25)((-2)(-16) - (-6)(3))
-1,250
What is 6((25-98)-(19-98))?
6(25-98-19+98)=6(25-19)=6x6=36
The number 222,222 is equal to the product 37,037·6. What is the product of 37,037 and 27?
222,222 divided by 2 equals 37,037·3 = 111,111. So 37,037·27 = 37,037·3·9 = 111,111·9 = 999,999
−7a+2(3a−4)+(−5)÷(1/a)
-7a+6a-8-5a=-6a-8
625
−8+(3×(−2))−(−5)+12÷(−4)
-12
What is the value of 123,123 divided by 1001?
123