Question

Multiply 0.35 times a power of ten so that the product is greater than 1, but less than 1000. Write the expression.

Answer 1

An answer is twenty.

Explanation:

0.35^20 is the expression the equation would be 0.35^20=7.609

or: 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times... until you multiply 0.35 times 0.35 twenty times. Not 0.35 times 20, 0.35 times 0.35 twenty times, don't forget to move the decimal! An exponent is 20.

hope this helps!

Answer 2

• See below

Explanation:

Let the power is x, then we have the following inequality

• 1 < 0.35*10ˣ < 1000

Solving we get

• 1/0.35 < 10ˣ < 1000/0.35
• 2.857 < 10ˣ < 2857.142
• log 2.857 < log 10ˣ < log 2857.142
• 0.456 < x < 3.456