Lesson 15 Nearest Multiples of 10 and 100

    • For a given number, let’s find the closest multiple of 100 and the closest multiple of 10.

Warm-up Estimation Exploration: What Number Could this Be?

What number could the point on the number line represent?

Number line. Scale 0 to 200 by 100's. Point between 100 and 200.

Record an estimate that is:

too low

about right

too high

Activity 1 Close to Multiples of 10

Problem 1

Locate and label each number on a number line.

128

272

436

89

351

  1. Number line. Scale 0 to 100 by 100's. Evenly spaced tick marks.
  2. Number line. Scale 100 to 200 by 100's. Evenly spaced tick marks.
  3. Number line. Scale 200 to 300 by 100's. Evenly spaced tick marks.
  4. Number line. Scale 300 to 400 by 100's. Evenly spaced tick marks.
  5. Number line. Scale 400 to 500 by 100's. Evenly spaced tick marks.

Problem 2

The same numbers are listed in the table. Name the multiple of 100 that is the nearest to each number. (Leave the last column blank for now.)

number

nearest multiple of 100

Problem 3

Look at the point for 128 on the number line.

  1. Name two multiples of 10 that are the closest to 128.

  2. Which of the two is the nearest multiple of 10?

Problem 4

Label the last column in the table “nearest multiple of 10.” Then, name the nearest multiple of 10 for each number. Use the number lines if you find them helpful.

Activity 2 The Nearest Multiples

Problem 1

  1. Is 349 closer to 300 or 400?

  2. Is 349 closer to 340 or 350?

Problem 2

  1. Is 568 closer to 500 or 600?

  2. Is 568 closer to 560 or 570?

Problem 3

  1. Is 712 closer to 700 or 800?

  2. Is 712 closer to 710 or 720?

Problem 4

Without locating a given number on a number line, how did you decide:

  1. the nearest multiple of 100?

  2. the nearest multiple of 10?

Problem 5

Name the nearest multiple of 100 and the nearest multiple of 10 for:

  1. 324

  2. 89

Practice Problem

Problem 1

Find the nearest multiple of 10 and the nearest multiple of 100 for:

  1. 537

  2. 661