# 6th Grade - Place Numbers On A Number Line

 Grade Level: 6th Skill: Fractions, Decimals and Percentages Topic: Place Numbers on a Number Line Goal: Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Skill Description: Compare positive and negative fractions, decimals and mixed numbers using the appropriate symbol: “greater than” >, “less than” <, “equal to” =. Place positive and negative fractions, decimals and mixed numbers on a number line from least to greatest. Convert decimals into fractions, fractions into decimals and mixed numbers into fractions or decimals in order to compare them or place a number line.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Use the appropriate symbol to compare the following terms: 1 ½  1 ¼ () (2) Use the appropriate symbol to compare the following terms: 1.75 1.7 () (3) Use the appropriate symbol to compare the following terms: -1/2 5/8 () (4) Use the appropriate symbol to compare the following terms: 4 ¾ -4.5 () (5) Which letter represents where 1 2/3 would be placed on the number line below? ___________A____B___C______D_________________ -3 -2 -1 0 1 2 3 4 (D)

### Learning Tips

 (1) Review commonly used equivalent fractions and decimals using U.S. dollars to explain. For example: ½ = .50. ½ a dollar is .50. One out of 4 quarters is ¼ or .25. (2) Have student use coins to make parts of a dollar and draw fractions using either circle graphs or fraction bars. Have them use the visuals to write out fractions and decimal equivalents. (3) Remind students that negative numbers are always less than positive numbers. (4) “Left is Less” - when looking at a number line, the number that is furthest to the left is always the least. The number furthest to the right is always the most. This is why -5 is less than -1. (5) It is easier to compare or order numbers that “look the same”. This is why when comparing unlike rational numbers, students should convert them to make them similar. For example, if you have a fraction and decimal turn them both into decimals to make quick comparisons.

### Online Resources

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### Extra Help Problems

 (1) Fill in the blank with the correct inequality symbol (>, <, =) ½ ¾ () (2) Fill in the blank with the correct inequality symbol (>, <, =) .55 .555 () (3) Fill in the blank with the correct inequality symbol (>, <, =) 1.51 () (4) Fill in the blank with the correct inequality symbol (>, <, =) 6/4 4/4 () (5) Fill in the blank with the correct inequality symbol (>, <, =) -1.578 -2.67 () (6) Fill in the blank with the correct inequality symbol (>, <, =) -2.4 0.48 () (7) Fill in the blank with the correct inequality symbol (>, <, =) -6/5 -1 1/5 (=) (8) Fill in the blank with the correct inequality symbol (>, <, =) 0.6 6.0 () (9) Fill in the blank with the correct inequality symbol (>, <, =) 1 3/8 1.38 () (10) Fill in the blank with the correct inequality symbol (>, <, =) -44.84 -55.55 () (11) Fill in the blank with the correct inequality symbol (>, <, =) 3 1/4 (=) (12) Fill in the blank with the correct inequality symbol (>, <, =) -18/ 9 2.1 () (13) Fill in the blank with the correct inequality symbol (>, <, =) 22.3364 22.336 () (14) Fill in the blank with the correct inequality symbol (>, <, =) 25/5 25.75 () (15) Fill in the blank with the correct inequality symbol (>, <, =) 12.3 1.236 () (16) Fill in the blank with the correct inequality symbol (>, <, =) -11/3 -8/4 () (17) Circle the letter that represents where -.5 would be placed on the number line below. Then write its fraction equivalent beneath it. ___________A____B___C______D_________________ -3 -2 -1 0 1 2 3 4 (B) (18) Circle the letter that represents where 5/4 would be placed on the number line below. Then write its mixed number and decimal equivalent beneath it. ___________A____B___C____D_________________ -3 -2 -1 0 1 2 3 4 (D) (19) Circle the letter that represents where 1/8 would be placed on the number line below. Then write its decimal equivalent beneath it. ___________A____B___C____D_________________ -3 -2 -1 0 1 2 3 4 (C) (20) Order the following from least to greatest. Then place them on a number line. -1/2 -1.5 1-1/4 1.75 -1/4 (-1.5, -1/2, -1/4, 1-1/4, 1/75) (21) Order the following from least to greatest. Then place them on a number line. .6 6/10 -10/6 -3.5 6.1 (-3.5, -10/6, 6/10=.6, 6.1) (22) Order the following from least to greatest. Then place them on a number line. 5/5 1/5 5.1 5/1 1.5555 (1/5, 5/1, 1.5555, 5/1, 5.1) (23) Fill in the number line with the numbers in the appropriate place. -1/4 -5/2 1.36 6/2 -16/4 _____________________________________________ -4 -3 -2 -1 0 1 2 3 4 (Answer: ______X_______X___________X_______X_________X_____ -4 -3 -2 -1 0 1 2 3 4 -16/4 -5/2 -1/4 1.36 6/2) (24) Fill in the number line with the numbers in the appropriate place. 1.28 -11/4 4/8 -15/ 7 .11 _____________________________________________ -4 -3 -2 -1 0 1 2 3 4 (Answer: ___________X__X_____________X__X____X______________ -4 -3 -2 -1 0 1 2 3 4 -11/4 -15/7 1/12 4/8 1.28) (25) Fill in the number line with the numbers in the appropriate place. -3-1/4 -2.75 1/12 -3.75 1/8 _____________________________________________ -4 -3 -2 -1 0 1 2 3 4 (Answer: ______X___X__X_______________XX___________________ -4 -3 -2 -1 0 1 2 3 4 -3.75 -31/4 -2.75 1/12 1/8