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Estimating Sums & Differences

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Estimating Sums & Differences. Warm-Up. Find the value of each expression. 4.7 + 5.08 10 – 3.58. VOCAB. Rational Number: a fraction made from integers Sum : ADD Difference : Subtract Rounding : Choose easy #’s close to hard #’s. Estimating. Decimals less than one

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Presentation Transcript
slide2

Warm-Up

Find the value of each expression.

  • 4.7 + 5.08
  • 10 – 3.58
slide3

VOCAB

  • Rational Number:
    • a fraction made from integers
  • Sum:
    • ADD
  • Difference:
    • Subtract
  • Rounding:
    • Choose easy #’s close to hard #’s.
slide4

Estimating

Decimals

  • less than one
    • round to 0, 0.5 or 1
  • more than one
    • round to the nearest integer (whole #)

Fractions

  • less than one
    • round to 0, ½ or 1
  • mixed numbers
    • round to the nearest integer (whole #)
let s try some rounding
Let’s Try Some Rounding…
  • 0.2 rounds to ________
  • 0.4 rounds to ________
  • 0.7 rounds to ________
  • 0.75 rounds to ________
  • 1.6 rounds to ________
  • ¼ rounds to _________
  • 1/3 rounds to _________
  • 3/5 rounds to _________
  • 1 ¾ rounds to _________
example 1a
Example 1a

Estimate the value of – 4.23 + 2.8.

  • Both numbers are more than one and should be rounded to nearest integer.
    • – 4.23 → – 4
    • 2.8 → 3
  • – 4 + 3 = –1
  • – 4.23 + 2.8 ≈ –1
example 1b
Example 1b

Estimate the value of 0.94 – (–0.43).

  • Both numbers are less than one unit away from zero and should be rounded to the nearest 0.5.
    • 0.94 → 1
    • – 0.43 → – 0.5
  • 1 – (–0.5) = 1 + 0.5 = 1.5
  • 0.94 – (–0.43) ≈ 1.5
example 2a
Example 2a

Estimate the value of .

  • Each fraction is less than 1 unit from zero so round to the

nearest .

example 2b
Example 2b

Estimate the value of .

  • Each fraction is more than 1 unit from zero so round to the nearest integer.
slide10

Estimate the value of each expression.

  • 3.21 + 6.3
  • 0.13 – 0.925
  • Matt bought pounds of apples, pounds of grapes and pounds of potatoes. How many pounds did he buy?
communication prompt
Communication Prompt

Describe a time when you used estimating in a situation

outside of math class.

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