Question

By what number should (-4)- be multiplied so that the product may be equal to 10‐²​

Answer 1

Answer:

$- 4 \times x = {10}^{ - 2} \\ - 4 \times x = \frac{1}{ {10}^{2} } \\ - 4 \times x = \frac{1}{100} \\ x = \frac{1}{100} \div - 4 \\ x = \frac{1}{100} \times \frac{1}{ - 4} \\ \boxed{x = \underline{ \underline{ \frac{1}{ - 400} }}} \\ \\ \large{\underline{Let's \: \: Verify}:} \\ - 4 \times x = {10}^{ - 2} \\ - 4 \times x = \frac{1}{100} \\ _{1 \: \: } \cancel{- 4} \times \frac{1}{ \cancel{- 400}_{ \: \: 100} } = \frac{1}{100} \\ \boxed{ \underline{\underline{\frac{1}{100} = \frac{1}{100} }}} \\ \\ \large Verified$