Grade 5 Fractions & Decimals Study Guide

Grade 5 Fractions and Decimals Study Guide

Be able to represent fractions with pictures and write a fraction based on a picture.

Example question: Draw a picture to show the fraction 4/8 (the student could draw 8 birds and circle 4 of them, or they could draw a bar split into 8 sections with 4 shaded – these are just 2 of many examples).

Understand tenths, hundredths, and thousandths

-For example, in 0.456, the 4 is in the tenths place value, the 5 is in the hundredths, and the 6 is the thousandths. Students are expected to know how to read this as “four hundred fifty six thousandths.”

Be able to represent decimals and fractions on a 10 x 10 (hundred) grid

Relate decimals to fractions and fractions to decimals

-Example questions: Write the fraction 3/10 as a decimal. Write the decimal .35 as a fraction.

-Be able to write an equivalent fraction from a decimal and an equivalent decimal from a fraction

Understand equivalent fractions and decimals

-For example: 0.04, 0.040, 0.0400, 0.04000 all represent an equivalent fraction

-3/4, 75/100, 6/8, and 0.75 are also all equivalent

Be able to compare and order fractions and decimals

Example question: Order the following decimals from least to greatest: 5.087, 5.102, 5.09

-Know how to use symbols to represent greater than, equal to, or less than (< = >)

-Know how to use benchmarks on a number line to compare and order fractions

Know how to convert decimal numbers to a different unit of measurement

-Remember: KHDMDCM

-For example: A horse is 5.81 meters long. How many centimeters is that?

Be able to add and subtract decimals and use estimation strategies

-Example questions: Add: 3.467 + 5.393. Subtract: 18.265 – 6.98. Estimate the sum: 4.8 + 3.293 (you would choose a rounding strategy to round the two numbers and then add – be prepared to explain what estimation strategy was used)

Relate fractions and decimals to division

-For example, the division sentence 5 divided by 3 can be written as 5/3.

-Know how to divide and represent the answer’s remainder as a fraction

-For example, 5 divided by 3 would equal 1 whole and 2/3  

Vocabulary

Numerator – The top number in a fraction, this number tells how many equal parts are counted.

Denominator – The bottom number in a fraction (remember, D = Down). This number tells how many equal parts are in 1 whole.

Sum – Answer to an addition problem.

Difference – Answer to a subtraction problem.