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Calculate Total Juice in 100 Bottles with 0.75 Litres per Bottle
Mathematics
Grade 5 Primary School
Question Content
A bottle holds 0.75 litres of juice. How much juice is there in 100 bottles? _______ litres
Correct Answer
75
Detailed Solution Steps
1
Step 1: Identify the given information: 1 bottle contains 0.75 litres of juice, and we need to calculate the total juice for 100 bottles.
2
Step 2: Set up the multiplication operation: Total juice = Juice per bottle × Number of bottles, which is 0.75 × 100.
3
Step 3: Perform the multiplication: When multiplying a decimal by 100, move the decimal point two places to the right. So 0.75 × 100 = 75.
Knowledge Points Involved
1
Decimal Multiplication by Powers of 10
When multiplying a decimal by 10, 100, 1000, etc., move the decimal point to the right by the same number of places as the number of zeros in the power of 10. For example, multiplying by 100 moves the decimal two places right. This rule simplifies calculations for scaling quantities by whole number multiples of 10.
2
Unit Rate and Total Quantity Calculation
Unit rate refers to the amount of a quantity per single unit (e.g., litres per bottle). To find the total quantity for multiple units, multiply the unit rate by the number of units. This is used in real-world scenarios like calculating total amounts of goods, liquids, or materials.
3
Decimal Place Value
Decimal place value defines the value of each digit in a decimal number based on its position relative to the decimal point. Digits to the right of the decimal represent tenths, hundredths, thousandths, etc. Understanding this is essential for correctly manipulating decimals in multiplication and other operations.
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