Question

Which expression is equivalent to 1.62 ÷ 0.4 ? A. 16.2 ÷ 40 B. 162 ÷ 0.4 C. 162 ÷ 40 D. 162 ÷ 4

Answer 1

The expression equivalent to 1.62 ÷ 0.4, when the decimals are adjusted accordingly, is 162 ÷ 40.

Step-by-step explanation:

The expression equivalent to 1.62 ÷ 0.4 is found by recognizing that the decimal in 0.4 can be moved one place to the right to create a whole number (4). When we do this, we must also move the decimal in 1.62 one place to the right to keep the proportion the same. Therefore, 1.62 ÷ 0.4 is equivalent to moving both decimals one place to the right which gives us 16.2 ÷ 4. But to match the given options, we multiply both the numerator and denominator by 10 to give us 162 ÷ 40, which makes answer C correct.

Answer 2

Answer: Your answer would be C. 162 ÷ 40.

Step-by-step explanation: We would first find the answer to the original equation, 1.62 ÷ 0.4, which is 4.05.

Next, let's evaluate the answers of the options.

• Option A's answer is 0.405, which does not match the answer to the original expression.

•Option B's answer is 40.5, which also does not match our original answer.

•Option C's answer is 4.05, which we can obviously tell matches the answer to the original expression.

•Lastly, Option D's answer is 40.5, which matches option B, but not our original expression.

Therefore, your answer is C.