Write the following numbers in expanded form and scientific notation: a) 1.24 × 103, b) 9.2014 × 104, c)…

Question

Write the following numbers in expanded form and scientific notation: a) 1.24 × 103, b) 9.2014 × 104, c) 21900000, d) 367000000000.

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to your homework problems.

1. Write the number in expanded form.

a) $1.24 \times 10^3$

Identify the exponent.
The exponent is 3.
Move the decimal point 3 places to the right.
$1.24 \times 10^3 = 1240$
The expanded form is $\boxed{1240}$ .

b) $9.2014 \times 10^4$
Identify the exponent.
The exponent is 4.
Move the decimal point 4 places to the right.
$9.2014 \times 10^4 = 92014$
The expanded form is $\boxed{92014}$ .

2. Write the number in scientific notation.

a) 21900000
Place the decimal point after the first non-zero digit.
$2.1900000$
Count the number of places the decimal point moved from its original position (at the end of the number).
It moved 7 places to the left.
$21900000 = 2.19 \times 10^7$
The scientific notation is $\boxed{2.19 \times 10^7}$ .

b) 367000000000
Place the decimal point after the first non-zero digit.
$3.67000000000$
Count the number of places the decimal point moved from its original position (at the end of the number).
It moved 11 places to the left.
$367000000000 = 3.67 \times 10^{11}$
The scientific notation is $\boxed{3.67 \times 10^{11}}$ .

Write the following numbers in expanded form and scientific notation: a) 1.24 x 103, b) 9.2014 x 104, c) 21900000, d) 367000000000.