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Comparisons
Word Problems
Number Lines
100

1.3000

One and three tenths
100

12.3

10 + 2 + 0.3

OR (1 x 10) + (2 x 1) + (3 x 0.1)

OR (1 x 10) + (2 x 1) + (3 x 1/10)

100

15.27 ____ 15.28

15.27 < 15.28

100

Liam has a model that shows:

  • 3 ones

  • 4 tenths

  • 2 hundredths

  • 9 thousandths
    Write the number he modeled in standard form.

3.459

100

Plot these four numbers on a number line

7

7.1

7.01

7.001

7, 7.001, 7.01, 7.1

200

12.34

Twelve and thirty-four hundredths

200

0.384

0.3 + 0.08 + 0.004 OR

(3 x 0.1) + (8 x 0.01) + (4 x 0.001)

OR (3 x 1/10) + (8 x 1/100) + (4 x 1/1000)

200

15.100 ____ 15.1

15.100 = 15.1

200

Sofia measured the length of a leaf as 0.082 meters, but her partner wrote it as “eight hundred twenty thousandths.” 

Are these values equal? Why or why not?

They are not, the partner's number would be 0.820 which is not equal to 0.082.

200

Slide 9

C

300

0.348

Three hundred forty-eight thousandths

300

10.001

10 + 0.001

OR (1 x 10) + (1 x 0.001)

OR (1 x 10) + (1 x 1/1000)

300

Rank these numbers from least to greatest:

A) 51.019

B) 51

C) 51.19

D) 51.009

B) 51

D) 51.009

A) 51.019

C) 51.19 

300

Two students recorded how far a toy car rolled:

  • Mateo’s car: 2.503 meters

  • Jade’s car: 2.53 meters
    Who had the farther distance? Explain how you know.

Jade 

2.53 > 2.503

300

Slide 13

C

400

78.032

Seventy-eight and 32 thousandths

400

212.047

200 + 10 + 2 + 0.04 + 0.007

OR

(2 x 100) + (1 x 10) + (2 x 1) + (4 x 0.01) + (7 x 0.001)

OR

(2 x 100) + (1 x 10) + (2 x 1) + (4 x 1/100) + (7 x 1/1000)

400

Slide 10 - Kaylee and Isabella

D

400

Four students used a stopwatch to see how fast they could run around the perimeter of the playground. Here were their times:

Tomas - 32.27 seconds

Beth - 33 seconds

Diane - 32.1 seconds

Vicky - 32.09 seconds

Which student had the fastest time?

Vicky

400

What is the closest whole number to 17.48?

17

500

123.456

One hundred twenty-three and four hundred fifty-six thousandths

500

45.643


40 + 5 + 0.6 + 0.04 + 0.003

OR

(4 x 10) + (5 x 1) + (6 x 0.1) + (4 x 0.01) + (3 x 0.001)

OR

(4 x 10) + (5 x 1) + (6 x 1/10) + (4 x 1/100) + (3 x 1/1000)

500

Rank these numbers from greatest to least:

A) 13.103

B) 13.1

C) 13.003

D) 13.013

A) 13.103

B) 13.1

D) 13.013

C) 13.003


500

A student wrote that 0.9 < 0.89 because “89 is bigger than 9.”
Explain the error using place-value understanding and give the correct comparison.

They did not start the comparison at the left-most digit (the tenths).

0.9 > 0.89

500
Slide 12

Answer on the number line