1st 9 Weeks Math Test

Standard form is a way of writing numbers using digits, where each digit has a specific place value. For example, 541,214 is in standard form.

To convert a decimal to a fraction, write the decimal over its place value (e.g., 0.8 = 8/10) and simplify if possible.

In the number 437,628,019, the digit 2 is in the ten thousands place, which means it represents 20,000.

To round a number to the nearest thousand, look at the hundreds digit. If it is 5 or greater, round up; if it is less than 5, round down.

In the decimal 0.82, the digit 2 is in the hundredths place, which means it represents 0.02.

Standard form is writing a number using digits, while expanded form breaks the number down into the sum of its place values (e.g., 541,214 = 500,000 + 40,000 + 1,000 + 200 + 10 + 4).

To identify the place value of a digit, look at its position in the number. Each position represents a different value (e.g., units, tens, hundreds, etc.).

To round decimals, look at the digit to the right of the place you are rounding to. If it is 5 or greater, round up; if it is less than 5, round down.

Place value determines the value of a digit based on its position in a number, which is essential for understanding the magnitude of numbers.

To express a number in scientific notation, write it as a product of a number between 1 and 10 and a power of 10 (e.g., 541,214 = 5.41214 x 10^5).