In Exercises 1–14, write each number in decimal notation without ...

Question

In Exercises 1–14, write each number in decimal notation without the use of exponents.

-7.16X10⁶

Accepted Answer

Hello everyone. We're going to rewrite the following number in its decimal form. The number we're given is negative six and 37/ multiplied by 10, raised to the sixth power. Our answer choices are a 6,370,000 B - C negative 637 millionths D negative 6,370,000. I recall that when I'm going from scientific notation to decimal form, I'm going to look at the exponent on my base 10 to tell me how many decimal places I need to move my decimal point. And in which direction The coefficient on this number is -6.37. The decimal point is between the six and the three. And because we have an exponent of positive six, I will be moving that decimal .6 places to the right. I know it's to the right because I recall that it's similar to a number line. When the exponent is positive, I move to the right negative, I move to the left. Since there aren't as many digits in the coefficient as there will be in our solution, I will be filling any empty decimal space in with a zero. So our decimal point originates between the six and the three, we're gonna go places. So behind the seven, I need to add in four zeros. When I rewrite this, I have negative 6,370,000. Which once I put some commas in is negative 6,370,000. That is our solution and it is answer choice. D have a nice day.

In Exercises 1–14, write each number in decimal notation without the use of exponents. -7.16X10⁶

Key Concepts

Scientific Notation

Decimal Notation

Negative Numbers

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