Which two of the following numbers have a product that is between 1 a

Question

Which two of the following numbers have a product that is between -1 and 0?

Indicate both of the numbers.

A. -20
B. -10
C.  2^{-4} 
D.  3^{-2}

Carcass · Answer

A number between -1 and 0 will be negative decimal number.
from option B and C we find, B/C = -10/16 which is between -1 and 0.

Sajjad1994 · Answer

Official Explanation

For this question, you must select a pair of answer choices. The product of the pair must be negative, so the possible products are  (-20),(2^{-4}),(-20), (3^{-2}), (-10)(2^{-4}) , and  (-10)(3^{-2}) . The product must also be greater than -1. The first product is  \frac{-20}{2^4}=-\frac{20}{16}<-1 , the second product is  \frac{-20}{3^2}=-\frac{20}{9}<-1 , and the third product is  \frac{-10}{2^4}=-\frac{10}{16}<-1 , so you can stop there.

The correct answer consists of Choices B (-10) and C  (2^{-4}) .

aditijaju · Answer

Step 1: Simplify exponents

C = 0.0625
and
D = 0.1111

So the list becomes:
A. –20
B. –10
C. 0.0625
D. 0.1111

Step 2: Try possible pairs

We want the product between –1 and 0, i.e. a small negative number.

(A, C): (–20) × (0.0625) = –1.25 ❌ (less than –1)
(A, D): (–20) × (0.1111) ≈ –2.22 ❌
(B, C): (–10) × (0.0625) = –0.625 ✅ between –1 and 0
(B, D): (–10) × (0.1111) ≈ –1.11 ❌

✅ Correct pair: B and C

Which two of the following numbers have a product that is between 1 a

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