Order the following numbers from least to greatest. {:[1(1)/(3),(127)/(100),1.4]:}

Convert to decimals: Convert all numbers to decimals to make comparison easier. 1 1/3 is a mixed number, which can be converted to a decimal by dividing the numerator by the denominator and adding it to the whole number. So, 1 1/3 = 1 + 1/3 = 1 + 0.333... ≈ 1.333. 127/100 is a fraction that can be converted to a decimal by dividing the numerator by the denominator. So, 127/100 = 1.27. 1.4 is already in decimal form.Compare decimal values: Compare the decimal values of each number. We have 1.333, 1.27, and 1.4. Comparing these decimals, we can see that 1.27 is the smallest, 1.333 is the next largest, and 1.4 is the largest.Write in order: Write the numbers in order from least to greatest based on the comparison. The order from least to greatest is 127/100, 1 1/3, 1.4.

Home

Math Problems

Grade 7

Compare and order decimals

Full solution

Q. Order the following numbers from least to greatest.

\newline

\begin{array}{l|l|l} 1 \frac{1}{3} & \frac{127}{100} & 1.4 \end{array}

Convert to decimals: Convert all numbers to decimals to make comparison easier. $\newline$ $1 \frac{1}{3}$ is a mixed number, which can be converted to a decimal by dividing the numerator by the denominator and adding it to the whole number. So, $1 \frac{1}{3} = 1 + \frac{1}{3} = 1 + 0.333... \approx 1.333$ . $\newline$ $\frac{127}{100}$ is a fraction that can be converted to a decimal by dividing the numerator by the denominator. So, $\frac{127}{100} = 1.27$ . $\newline$ $1.4$ is already in decimal form.
Compare decimal values: Compare the decimal values of each number. $\newline$ We have $1.333$ , $1.27$ , and $1.4$ . $\newline$ Comparing these decimals, we can see that $1.27$ is the smallest, $1.333$ is the next largest, and $1.4$ is the largest.
Write in order: Write the numbers in order from least to greatest based on the comparison. $\newline$ The order from least to greatest is $\frac{127}{100}$ , $1 \frac{1}{3}$ , $1.4$ .