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In Decimals , we compared two decimals and determined which was larger. To compare a decimal to a fraction, we will first convert the fraction to a decimal and then compare the decimals.
Order using or
Convert to a decimal. | |
Compare to | |
Rewrite with the original fraction. |
When ordering negative numbers, remember that larger numbers are to the right on the number line and any positive number is greater than any negative number.
Order using or
Convert to a decimal. | |
Compare to . | |
Rewrite the inequality with the original fraction. |
Write the numbers in order from smallest to largest.
Convert the fractions to decimals. | |
Write the smallest decimal number first. | |
Write the next larger decimal number in the middle place. | |
Write the last decimal number (the larger) in the third place. | |
Rewrite the list with the original fractions. |
Write each set of numbers in order from smallest to largest:
Write each set of numbers in order from smallest to largest:
The order of operations introduced in Use the Language of Algebra also applies to decimals. Do you remember what the phrase “Please excuse my dear Aunt Sally” stands for?
Simplify the expressions:
ⓐ
ⓑ
ⓐ | |
Simplify inside parentheses. | |
Multiply. |
ⓑ | |
Simplify inside parentheses. | |
Write as a fraction. | |
Multiply. | |
Simplify. |
Simplify each expression:
ⓐ
ⓑ
ⓐ | |
Simplify exponents. | |
Divide. | |
Multiply. | |
Add. | |
Subtract. |
ⓑ | |
Simplify exponents. | |
Multiply. | |
Convert to a decimal. | |
Add. |
The properties of circles have been studied for over years. All circles have exactly the same shape, but their sizes are affected by the length of the radius , a line segment from the center to any point on the circle. A line segment that passes through a circle’s center connecting two points on the circle is called a diameter . The diameter is twice as long as the radius. See [link] .
The size of a circle can be measured in two ways. The distance around a circle is called its circumference .
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