Lesson 5: Rounding Decimals

A complete guide for Grade 5 students by Mr. Ayman Hassan

Math Egypt Logo by Mr. Ayman Hassan (شعار ماث إيجيبت)

Learn: Different strategies to round decimals

First: Midpoint strategy

Visual of midpoint strategy on a number line - Math Egypt by Mr. Ayman Hassan | تمثيل مرئي لاستراتيجية نقطة المنتصف - ماث إيجيبت مستر ايمن حسن

Example 1

a. Rounding 19.7 [to the nearest whole number]

Number line for rounding 19.7 - Math Egypt by Mr. Ayman Hassan | خط الأعداد لتقريب ١٩.٧ - ماث إيجيبت مستر ايمن حسن

b. Rounding 4.62 [to the nearest Tenth]

Number line for rounding 4.62 - Math Egypt by Mr. Ayman Hassan | خط الأعداد لتقريب ٤.٦٢ - ماث إيجيبت مستر ايمن حسن

c. Rounding 8.765 [to the nearest Hundredth]

Number line for rounding 8.765 - Math Egypt by Mr. Ayman Hassan | خط الأعداد لتقريب ٨.٧٦٥ - ماث إيجيبت مستر ايمن حسن

Second: Rounding rule strategy

Diagram explaining the rounding rule for decimals - Math Egypt by Mr. Ayman Hassan | رسم توضيحي لقاعدة تقريب الأعداد العشرية - ماث إيجيبت مستر ايمن حسن

Example 2

Use rounding rule strategy to round the decimal number 18.5376 to the nearest whole number, Tenth, Hundredth and Thousandth.

Solution

18.537619 [to the nearest whole number]

18.537618.5 [to the nearest Tenth]

18.537618.54 [to the nearest Hundredth]

18.537618.538 [to the nearest Thousandth]

Example 3

Round each number to the place of the underlined digit:

a. 28.1_2

b. 6.24_7

c. 12.592_8

d. 47.0_51

e. 5.91_84

f. 0.66_97

g. 402_.601

h. 0.995_

Solution

a. 28.1_228

b. 6.24_76.2

c. 12.592_812.593

d. 47.0_5147.1

e. 5.91_845.92

f. 0.66_970.670

g. 402_.601403

h. 0.995_1.00

Example 4

Solution

a. To write the smallest decimal less than one, put the decimal point [0.], then write the given digits arranged ascendingly from the left to the right. The smallest decimal less than one = 0.2346

  • 0.23460.23 [to the nearest Hundredth]
  • 0.23460.235 [to the nearest Thousandth]

b. To write the greatest decimal, less than one, put the decimal point [0.], then write the given digits arranged descendingly from the left to the right. The greatest decimal less than one = 0.9752

  • 0.97520.98 [to the nearest Hundredth]
  • 0.97520.975 [to the nearest Thousandth]

Check your understanding

Round each number to the place of the underlined digit.

a. 8.1437_ = ___

b. 52.5_ = ___

c. 35.107_2 = ___

d. 17.97_ = ___

e. 55_.524 = ___

f. 1.569_8 = ___

g. 2.435_5 = ___

h. 0.21_5 = ___

i. 1.59_5 = ___

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