5.1 Given a Decimal Through Thousandths, Round to the Nearest Whole Number, Tenth, Or Hundredth

5.1 & 5.2 Study Guide

Fractions and Decimals

Learning Goals

5.1 given a decimal through thousandths, round to the nearest whole number, tenth, or hundredth.

5.2 - a) recognize and name fractions in their equivalent decimal form and vice versa; and

b) compare and order fractions and decimals in a given set from least to greatest and greatest to least.

Vocabulary

Place value – the value a digit represents depending on its place in the number

Example: the digit 6 represents the hundredths place

Value – how much a digit is worth according to its place in a number

Example: the value of the 6 is 0.06 (six hundredths)

Digit – there are 10 digits: - 0 , 1, 2, 3, 4, 5, 6, 7, 8, and 9

Rounding – reducing the digits in a number while trying to keep the value similar

Comparing – seeing whether two numbers are greater than, less than, or

equal to each other

Whole Number – the counting numbers plus zero (0, 1, 2, 3, 4…)

Greater than - >

Less than - <

Equal to - =

Practice at Home

· Rounding decimals: Underline the place that you are rounding to. Look to the place to the right to determine if you should round up or down.

Example: 5.829 rounded to the nearest whole (ones): 5.829 = 6

rounded to the tenths place 5.829 = 5.8

rounded to the hundredths place 5.829 = 5.83

· Converting fractions to decimals: Some fractions are easy to remember….

= 0.50 or 0.5 = 0.25 = 0.20 or 0.2 0.1

Other fractions can be converted to decimals by looking at the fraction as a division equation.

Students may use a calculator to perform these equations.

= 0.33 (repeating decimal) = 0.125

· Ordering fractions and decimals: First convert all of the fractions to decimals. Line them up vertically to compare them. Determine the correct order (least to greatest or greatest to least).

, 0.56, , = 0.50 least to greatest: , , 0.56

0.56 = 0.56

= 0.375 greatest to least: 0.56, ,

Sample Questions

1 Round 5.693 to the nearest whole.

A 5

B 5.7

C 5.69

D 6

2. Which decimal is equal to ?

A 0.8

B 0.45

C 0.08

D 0.045

3. Which set of numbers is ordered from least to greatest?

, , , 0.35

A , , , 0.35

B , , 0.35,

C , , 0.35,

D , 0.35, ,

4. Which statement below is true?

A 25.34 > 25.6

B 25.34 < 25.021

C 25.34 < 25.314

D 25.34 > 25.334

5. When rounded to the nearest tenth, which of the decimal numbers below rounds to 546.7?

A 546.772

B 546.64

C 546.681

D 546.75

6. Which set of decimals is in order from greatest to least?

A 2.002, 2.02, 2.220, 2.2

B 2.002, 2.02, 2.2, 2.220

C 2.220, 2.2, 2.02, 2.002

D 2.220, 2.002, 2.02, 2.2