Lesson 16 Tenths and Hundredths, Together

    • Let’s add some tenths and hundredths.

Warm-up Notice and Wonder: Shaded Rectangles and Squares

Each large square represents 1.

What do you notice? What do you wonder?

A
Diagram. Square partitioned into 10 equal columns. First column and half of second column is shaded.  
B
Diagram. Square partitioned into 10 columns of 10 of the same sized squares. The first column of squares and half of the second column of squares are shaded. Total shaded,15. 

Activity 1 Tenths and Hundredths

Problem 1

Complete the table with equivalent fractions in tenths or hundredths. In the last row, write a new pair of equivalent fractions.

    tenths   

hundredths

a.

b.

c.

d.

e.

f.

g.

h.

i.

j.

\0\0

Problem 2

Name some fractions that are:

  1. between and

  2. between and

Activity 2 Walk, Stop, and Sip

Problem 1

Noah walks kilometer (km), stops for a drink of water, walks kilometer, and stops for another sip.

Which number line diagram represents the distance Noah has walked? Explain how you know.

Number line. Scale 0 to 1 kilometer. Evenly spaced by tenths. 2 arrows. First arrow, 0 to 2 tenths, Second arrow, 2 tenths to 7 tenths.
Number line. Scale 0 to 1 kilometer. Evenly spaced by tenths. 2 arrows. First arrow, 0 to 2 tenths, Second arrow, 2 tenths to the middle of 2 tenths and 3 tenths.

Problem 2

The diagram that you didn’t choose represents Jada’s walk. Write an equation to represent:

  1. the total distance Jada has walked

  2. the total distance Noah has walked

Problem 3

  1. Number line. Scale 0 to 1 kilometer. 11 evenly spaced tick marks.

  2. Number line. Scale 0 to 1 kilometer. 11 evenly spaced tick marks.

  3. Number line. Scale 0 to 1 kilometer. 11 evenly spaced tick marks.

  4. Number line. Scale 0 to 1 kilometer. 11 evenly spaced tick marks.

Practice Problem

Problem 1

Find the value of each of the following sums. Show your reasoning. Use number lines if you find them helpful.

  1. Number line. Scale 0 to 1. Evenly spaced by tenths.

  2. Number line. Scale 0 to 1. Evenly spaced by tenths.

  3. Number line. Scale 0 to 1. Evenly spaced by tenths.