Mathematics Class on Decimals

Converting Fractions to Decimals

• Write a proper fraction as a decimal fraction
  • 5/100

Place Value

• Write the place value of the digit 4 in the number 7.004
  • Thousandths

Standard Form

• Write the number > in standard form.
  • The exact number is required to answer this question.

Word Form

• Write the decimal fraction 0.54 in word form
  • Fifty-four hundredths

Comparing Decimals

• Ahmed says that the decimal fraction 0.740 is equal to the decimal fraction 0.74, Do you agree with him?
  • Yes, adding zeros to the right of a decimal fraction does not change its value.

Word Form (2)

• Write the number 65.75 in word form.
  • Sixty-five and seventy-five hundredths

Mass Calculations

• The mass of a box of apples is 18.75 kg. What is the mass of 10 boxes of the same type?
  • 18.75 x 10 = 187.5 kg

Expanded Form

• Write the number 75.654 in expanded form.
  • (7 x 10) + (5 x 1) + (6 x 0.1) + (5 x 0.01) + (4 x 0.001)

Decomposing Numbers

• Decompose the number 52.174 by 3 different ways.
  • (52 x 1) + (1 x 0.1) + (7 x 0.01) + (4 x 0.001)
  • (50 x 1) + (2 x 1) + (1 x 0.1) + (7 x 0.01) + (4 x 0.001)
  • (5 x 10) + (2 x 1) + (1 x 0.1) + (7 x 0.01) + (4 x 0.001)

Ordering Numbers

• Arrange the following decimal numbers in ascending order : 5.571, 5.729, 5.703, 5.072

  • 5.072, 5.571, 5.703, 5.729

• Arrange the following decimal numbers in descending order: 0.734, 0.192, 0.220, 0.025

  • 0.734, 0.220, 0.192, 0.025

Standard Form (2)

• Write the number > in standard form.
  • The exact number is required to answer this question.

Expanded Form (2)

• Decompose the decimal number 65.23 in expanded form
  • (6 x 10) + (5 x 1) + (2 x 0.1) + (3 x 0.01)

Price Calculations

• If the price of a pencil is 8.25 pounds. What is the price of 100 pencils of the same type?
  • 8.25 x 100 = 825 pounds

Rounding Decimals

• Round the decimal fraction 0.549 to the nearest hundredth.

  • 0.55

• Round the decimal number 5.812 to the nearest integer.

  • 6

• The temperature on a summer day is 43.7 degrees Celsius. Round the temperature to the nearest unit?

  • 44 degrees Celsius

Estimation

• Omar wants to build his entire garden fence. Estimate the length of the fence by rounding each dimension to the nearest integer.

  • 75.29 m ≈ 75 m
  • 43.56 m ≈ 44 m

• Estimate the result of the addition using the first number from the left, 15.2 + 7.5

  • 15 + 7 = 22

• Estimate the addition using your preferred strategy: 4.56 + 9.98

  • 4.56 + 9.98 ≈ 5 + 10 = 15

• Estimate the sum (to the nearest tenth) 0.85 + 2.3

  • 0.85 + 2.3 ≈ 0.9 + 2.3 = 3.2

Total Weight

• If Khalid's weight is 45.75 kg and Mahmoud's Weight is 42.5 kg, what is the total weight of Khalid and Mahmoud?
  • 45.75 + 42.5 = 88.25 kg

Money Calculations

• Ahmed has 200.5 pounds, Mahmoud has 65.75 pounds, and Adel has 88.5 pounds. How many pounds do the three have together?

  • 200.5 + 65.75 + 88.5 = 354.75 pounds

• Ahmed has 100.75 pounds and gave his brother 24.25 pounds. How much money remains with Ahmed?

  • 100.75 - 24.25 = 76.50 pounds

• What is the value of the digit 5 in the number 3.456?

  • Five-hundredths

Addition Models

• In the following model, what color represents the addition operation below and write the result: (0.7 + 0.25 = ………..)

  • The question requires a visual model to be answered.

• 5 + 0.157 = ……………

  • 5 + 0.157 = 5.157

• 0.85 + ………….= 1

  • 0.85 + 0.15 = 1

• 1 = 0.15 + 0.5 + …………..

  • 1 = 0.15 + 0.5 + 0.35

• How many hundredths are there in 0.3?

  • There are 30 hundredths in 0.3.

Subtraction Models

• In the following model, what color represents the subtraction operation below and write the result: 0.25 – 0.13= ………..

  • The question requires a visual model to be answered.
• 1. 0.235 = 0.2 + ……… + 0.005
  • 1. 0.235 = 0.2 + 0.03 + 0.005

Height Calculations

• If Ahmed's height is 1.2 meters and Khalid's height is 150 cm, what is the total height of both in meters?
  • Khalid's height: 150 cm = 1.5 meters
  • Total height: 1.2 + 1.5 = 2.7 meters

Distance Calculations

• Hassan wants to cut a road that is 80.5 kilometers long. If Hassan has already cut 3.156 km, what is the remaining distance?

  • 80.5 - 3.156 = 77.344 km

• How many hundredths are there in 0.8?

  • There are 80 hundredths in 0.8.

Mass Calculations (2)

• If the mass of the orange is 5.75 kg and the mass of the apple is 2.5 kg, what is the mass of the orange and the apple?
  • 5.75 + 2.5 = 8.25 kg

Money Calculations (2)

• Khaled had 100 L.E. He bought a book for 65.3 L.E. How much does he have left?
  • 100 - 65.3 = 34.7 L.E.

Money Calculations (3)

• Khaled had 10.75 L.E. and gave his brother 5.25 L.E., estimate the amount remained with Khaled. Using Decimals Benchmark?
  • 10.75 L.E. ≈ 11 L.E.
  • 5.25 L.E. ≈ 5 L.E.
  • 11 - 5 = 6 L.E.
  • Khaled has approximately 6 L.E left..

Subtraction with Decimals

• Find the result of subtraction 0.32-0.195 =
  • 0.32 - 0.195 = 0.125

Estimation (2)

• Estimate the result using the Front-End Estimation from the left 8.92 - 3.5=…..
  • 8 - 3 = 5

Distance Calculations (2)

• A road with a length of 98.5 km, the car traveled a distance of 35.25 km, then how many kilometers of road remain?
  • 98.5 - 35.25 = 63.25 km

Money Calculations (4)

• Khaled had 100 L.E. He bought a book for 22.5 pounds. How much does he have left?
  • 100 - 22.5 = 77.5 L.E.

Bank Deposits

• Mahmoud deposited 2,000 L.E. in a bank and added profits of 235.5 L.E How many L.E. does he have in the bank balance after adding the profits?
  • 2000 + 235.5 = 2235.5 L.E.

Subtraction with Decimals (2)

• Find the subtraction result: - 0.9 - 0.325 using Benchmark Decimals strategy
  • 0.9 ≈ 1
  • 0.325 ≈ 0.3
  • 1 - 0.3 = 0.7
  • The estimated result is 0.7

Estimation (3)

• Estimate the subtraction result by rounding to the nearest unit: 9.65 - 1.2 = …..
  • 10 - 1 = 9

Height Calculations (2)

• If Imad's height is 1.7 meters and Ahmed's height is 0.35 meters shorter than him, what is Ahmed's height?
  • 1.7 - 0.35 = 1.35 meters

Money Calculations (5)

• Khaled had 300 L.E. He bought a book for 65.25 pounds. How much does he have left?
  • 300 - 65.25 = 234.75 L.E.

Estimation (4)

• What is the estimate of subtracting 15.8 - 3.21 using the Benchmark Decimals strategy
  • 15.8 ≈ 16
  • 3.21 ≈ 3
  • 16- 3 = 13
  • The estimate is 13

Subtraction with Decimals (3)

• Find the result of the subtraction: 0.6 - 0.18 = …..
  • 0.6 - 0.18 = 0.42

Decreasing Decimals

• What is the decrease of 2.5 from 33.14
  • 33.14 - 2.5 = 30.64

Algebra Basics

• Identify the variable in the following math sentence: 56 – x = 47.5
  • The variable is x.

Writing Equations

• Write an equation that expresses this situation: Kamel bought a bag for 45.75 pounds and a pair of shoes for 36.15 pounds, what is the total amount Kamel paid?
  • Total amount = 45.75 + 36.15

Solving Equations

• Find the value of the unknown in the following equation: V + 42.89 = 100.01
  • V = 100.01 - 42.89
  • V = 57.12

Word Problems & Equations

• Write a word problem that represents the equation: f - 2.3 = 8.4 and then find the value of f.
  • A farmer harvested 8.4 kg of apples. He sold 2.3 kg of apples. How many kg of apples does he have left?
  • f = 8.4 + 2.3
  • f = 10.7

Model Based Equations

• Amjad used the bar model to find the variable k in the equation 3.2 = 5.4 – k , what is the value of the variable?
  • k = 5.4 - 3.2
  • k = 2.2

This quiz focuses on various aspects of decimals, including converting fractions to decimals, writing numbers in word form, and understanding place values. It covers tasks such as comparing decimal fractions and expressing numbers in standard and expanded forms. Aimed at reinforcing foundational math skills.