Grade 5. Australian curriculum edition
Unit 1.A. Number and Algebra
2.
3.
4. How many thousands are there in 5864?
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5.
568, 570, 572, [ ? ], [ ? ]
6. Write the fraction to show the shaded part.
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7.
3 x 50 cent coins + 6 x 20 cent coins = [ ]
"cent coins" simply means coins that represent a value of one cent or multiple cents.
A "cent" is a monetary unit that is typically one-hundredth (1/100th) of a larger, primary currency unit. For example:
1 US Dollar = 100 cents
1 Euro = 100 cents
1 Canadian Dollar = 100 cents
So, "cent coins" are the physical coins used to represent these fractional values of the main currency.
8. How many (whole number) tenths in 0.56?
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Explain 4.7
Let's explain what the number 4.7 means.
1. It's a Decimal Number: 4.7 is a decimal number. This means it has a whole number part and a fractional part, separated by a decimal point (.).
2. Breaking it Down by Place Value:
- The digit 4 is in the ones place. This means it represents 4 whole units.
- The digit 7 is in the tenths place. This means it represents 7 parts out of 10 equal parts of a whole.
So, 4.7 means "4 whole units and 7 tenths."
3. As a Fraction or Mixed Number:
- As a mixed number, 4.7 can be written as 
means (4 + 7/10)
- In this case, the fraction 
cannot be simplified further because 7 and 10 do not share any common factors other than 1.
4. On a Number Line: If you imagine a number line, 4.7 would be located between the whole numbers 4 and 5. It's more than halfway between 4 and 5 (because halfway would be 4.5).
5. Real-World Examples:
- Money: If you see a price like $4.70, it means 4 dollars and 70 cents (which is 7 tenths of a dollar, if you think of 70 cents as 7 x 10 cents).
- Measurement: You might say a length is 4.7 meters, or a weight is 4.7 kilograms. This means 4 whole meters/kilograms and an additional 7 tenths of a meter/kilogram.
- Scores/Grades: A score of 4.7 in a competition or on a test.
In summary, 4.7 represents a value that is four whole units plus seven-tenths of another unit.
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When asked for (whole number) tenths in 0.56, we look specifically at the digit in the tenths place.
In the number 0.56:
- The digit 5 is in the tenths place. This means we have 5 tenths (0.5).
- The digit 6 is in the hundredths place. This represents 6 hundredths (0.06).
Since 6 hundredths is less than a whole tenth (which is 10 hundredths), it does not make up another whole tenth.
Therefore, there are 5 whole number tenths in 0.56.
9. Round off 654 to the nearest hundred.
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Let's explain how to round off 654 to the nearest hundred.
When you round a number, you're trying to find the closest "friendly" number at a specific place value.
Here's how to do it step-by-step:
[1] Identify the hundreds place:
In the number 654:
- The 4 is in the ones place.
- The 5 is in the tens place.
- The 6 is in the hundreds place. This is the digit we are interested in rounding.
[2] Look at the digit to the right of the hundreds place:
The digit immediately to the right of the 6 (in the hundreds place) is the 5 (in the tens place).
[3] Apply the rounding rule:
- Rule: If the digit to the right is 5 or greater (5, 6, 7, 8, 9), you "round up" the digit in the target place.
- Rule: If the digit to the right is 4 or less (0, 1, 2, 3, 4), you keep the digit in the target place the same.
In our case, the digit to the right is 5. Since 5 is "5 or greater," we will round up the digit in the hundreds place.
[4] Perform the rounding:
- Round up the 6 in the hundreds place. It becomes 7.
- All the digits to the right of the hundreds place (the 5 and the 4) become 0s.
So, 654 rounded to the nearest hundred is 700.
Think of it on a number line:
- 654 is between 600 and 700.
- The midpoint between 600 and 700 is 650.
- Since 654 is greater than or equal to 650 (the midpoint), it rounds up to 700.
10. I have 47 sheep, 27 cows, 1 bull and 2 goats.
How many animals have I?
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