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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Estimating Sums & Differences

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Estimating sums differences

Estimating Sums & Differences


Estimating sums differences

Warm-Up

Find the value of each expression.

  • 4.7 + 5.08

  • 10 – 3.58


Estimating sums differences

VOCAB

  • Rational Number:

    • a fraction made from integers

  • Sum:

    • ADD

  • Difference:

    • Subtract

  • Rounding:

    • Choose easy #’s close to hard #’s.


Estimating sums differences

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.


Estimating sums differences

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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