Expanded Form With Exponents

Front

What is expanded form with exponents?

Back

Expanded form with exponents is a way of writing numbers to show the value of each digit, using powers of ten. For example, 4,500 can be written as 4 x 10^3 + 5 x 10^2.

Front

How do you convert a number into expanded form using exponents?

Back

To convert a number into expanded form using exponents, break down the number by place value and express each digit as a product of the digit and a power of ten. For example, 6,067,436 = 6 x 10^6 + 0 x 10^5 + 6 x 10^4 + 7 x 10^3 + 4 x 10^2 + 3 x 10^1 + 6 x 10^0.

Front

What is the value of 4 x 10^7?

Back

40,000,000

Front

What is the value of 52 x 10^3?

Back

52,000

Front

How do you solve the equation 8 x 10^7 + 4 x 10^6 + 2 x 10^5 + 3 x 10^4 + 9 x 10^3 + 1 x 10^2 + 2 x 10^1 + 6 x 10^0?

Back

The solution is 84,239,126.

Front

What does the exponent in a power of ten represent?

Back

The exponent in a power of ten represents how many times the base (10) is multiplied by itself. For example, 10^3 means 10 x 10 x 10.

Front

Write the number 602,937 in expanded notation using powers of ten.

Back

602,937 = 6 x 10^5 + 0 x 10^4 + 2 x 10^3 + 9 x 10^2 + 3 x 10^1 + 7 x 10^0.

Front

What is the expanded form of 40,000,000?

Back

40,000,000 = 4 x 10^7.

Front

How do you add numbers in expanded form?

Back

To add numbers in expanded form, align the terms by their powers of ten and then combine like terms. For example, (4 x 10^3 + 2 x 10^3) = 6 x 10^3.

Front

What is the expanded form of 6,067,436?

Back

6,067,436 = 6 x 10^6 + 0 x 10^5 + 6 x 10^4 + 7 x 10^3 + 4 x 10^2 + 3 x 10^1 + 6 x 10^0.