Scientific Notation definition

Our number system is based on _________ ?
Coefficient definition

Scientific Notation: A way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a coefficient multiplied by 10 raised to a power.

Number system: Our number system is based on the decimal system, which uses base 10. This means that each place value represents a power of 10.

Coefficient: The numerical part of a term in a mathematical expression, typically positioned before or to the left of the variable. In scientific notation, the coefficient is the number that is multiplied by a power of 10.

Round 8,266 to the nearest tenths.

To round 8,266 to the nearest tenths, we look at the digit in the tenths place, which is the second digit after the decimal point.

The digit in the tenths place is 6. Since 6 is greater than or equal to 5, we round up.

Therefore, when rounding 8,266 to the nearest tenths, we get 8,270.

Round 78,110 to the nearest hundred.

To round 78,110 to the nearest hundred, we look at the digit in the hundred's place, which is the third digit from the right.

The digit in the hundred's place is 1. Since 1 is less than 5, we round down.

Therefore, when rounding 78,110 to the nearest hundred, we get 78,100.

Round 902,555 to the nearest thousand.

To round 902,555 to the nearest thousand, we look at the digit in the thousands place, which is the fourth digit from the right.

The digit in the thousands place is 2. Since 2 is less than 5, we round down.

Therefore, when rounding 902,555 to the nearest thousand, we get 902,000.

Los Angeles has a population of 3,971,883 people. Estimate the population as a single digit number times a power of 10.

To estimate the population of Los Angeles as a single digit number times a power of 10, we need to move the decimal point to create a number between 1 and 10.

3,971,883 can be written as 3.971883 x 10^6.

Therefore, the estimated population of Los Angeles as a single digit number times a power of 10 is approximately 4 x 10^6.

Write 100,000 in exponential notation with a base of 10.