Define the place value of a digit.

The place value of a digit is the value it stands for because of its position in the number. In 9876 the 8 sits in the hundreds place, so its value is 800.

In the number 87 654, what is the value of the digit 7?

The digit 7 has a value of 7000 , or seven thousand. It sits in the thousands place, so it stands for 7 lots of 1000 rather than simply 7.

What are the first three decimal places called, reading from the decimal point?

The first three decimal places are the tenths , hundredths and thousandths . In 36.952 the 9 is worth 0.9, the 5 is worth 0.05 and the 2 is worth 0.002.

Why is a large number such as 54 687 321 written with spaces, and where do the spaces go?

The spaces split the digits into groups of three , counted from the ones digit and working left , which makes the place values much easier to read. So 54687321 is normally written as 54 687 321.

Define a negative number .

A negative number is any number less than zero, written with a minus sign in front of it. Negative and positive numbers together are often called directed numbers, because the sign gives a direction as well as a size.

How do you use place value to decide which of two numbers is bigger?

Write them underneath each other with their place-value columns lined up, then compare digits starting from the highest place value on the left. The first column where the two digits differ is the one that decides it.

True or False? In a list containing both positive and negative numbers, every negative number comes before every positive one.

True. Every negative number sits below zero and every positive number above it, so the two groups never interleave. That is why you can order each group separately and then simply join the two lists.

Define ascending and descending order.

Ascending order means increasing, so you start with the smallest value, which is the most negative one if there is any. Descending order means decreasing, so you start with the largest value instead.

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Reading & Ordering Numbers (Cambridge (CIE) IGCSE Maths: Core): Flashcards

Exam code: 0580 & 0980

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Define the place value of a digit.

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Cards in this collection (19)

Define the place value of a digit.
The place value of a digit is the value it stands for because of its position in the number.
In 9876 the 8 sits in the hundreds place, so its value is 800.
In the number 87 654, what is the value of the digit 7?
The digit 7 has a value of 7000, or seven thousand.
It sits in the thousands place, so it stands for 7 lots of 1000 rather than simply 7.
Complete the sentence about place value:
Each place in a number is worth $______$ times the place immediately to its $______$ .
The completed sentence is:
Each place in a number is worth ten times the place immediately to its right.
So moving one place to the left multiplies a digit's value by 10, and moving one place to the right divides it by 10.
What are the first three decimal places called, reading from the decimal point?
The first three decimal places are the tenths, hundredths and thousandths.
In 36.952 the 9 is worth 0.9, the 5 is worth 0.05 and the 2 is worth 0.002.
True or False?
$23.45678$ is read as "twenty three point four five six seven eight".
True.
The whole number part is read as usual, and the digits after the decimal point are then read one at a time.
You would not read the decimal part as a single number, such as "point forty five thousand six hundred and seventy eight".
A race time is recorded as $14.263$ seconds. What is the value of the digit 3?
The digit 3 has a value of 0.003 seconds, or three thousandths of a second.
It sits in the third decimal place, so it stands for 3 lots of 0.001.
Why is a large number such as 54 687 321 written with spaces, and where do the spaces go?
The spaces split the digits into groups of three, counted from the ones digit and working left, which makes the place values much easier to read.
So 54687321 is normally written as 54 687 321.
Define a negative number.
A negative number is any number less than zero, written with a minus sign in front of it.
Negative and positive numbers together are often called directed numbers, because the sign gives a direction as well as a size.
Complete the two sign rules for multiplying and dividing.
Two numbers with the same sign give a $______$ answer, and two numbers with different signs give a $______$ answer instead.
The completed rules are:
Two numbers with the same sign give a positive answer, and two numbers with different signs give a negative answer instead.
So $(- 6) \times (- 4) = 24$ while $6 \times (- 4) = - 24$ .
Why is $5 - (- 3)$ equal to $8$ ?
Because subtracting a negative number is the same as adding the positive one, so the calculation becomes $5 + 3$ .
In the same way, adding a negative is the same as subtracting the positive, so $7 + (- 3) = 7 - 3 = 4$ .
True or False?
$- 3^{2}$ and ${(- 3)}^{2}$ mean the same thing.
False.
Only the bracketed form squares the negative number, giving $(- 3) \times (- 3) = 9$ .
Without brackets just the $3$ is squared and the minus is applied afterwards, giving $- 9$ .
The temperature is $- 4 ° C$ and it warms up by $6 ° C$ . What is the new temperature?
It is $2 ° C$ , because warming up means adding, giving $(- 4) + 6 = 2$ .
Counting upwards from $- 4$ crosses zero after four steps, leaving two more to go.
Someone is $300$ in debt and pays off $200$ . Why is their position now $- 100$ rather than $- 500$ ?
Because paying money off reduces a debt, so the $200$ is added to $- 300$ to give $- 100$ .
Borrowing more would instead add another negative, as in $(- 200) + (- 400) = - 600$ .
How do you use place value to decide which of two numbers is bigger?
Write them underneath each other with their place-value columns lined up, then compare digits starting from the highest place value on the left.
The first column where the two digits differ is the one that decides it.
True or False?
Since $14$ is bigger than $8$ , it follows that $0.14$ is bigger than $0.8$ .
False.
Digits further to the right of the decimal point are worth less, and $0.14$ has only one tenth against the eight tenths in $0.8$ .
Fill in the gap to make $12.115$ and $12.15$ easier to compare.
Writing them with the same number of decimal places gives $12.115$ and $______$ instead.
The completed comparison is:
Writing them with the same number of decimal places gives $12.115$ and $12.150$ instead.
The third decimal place now settles it, so $12.115$ is the smaller of the two.
Why is $- 14$ smaller than $- 8$ , even though $14$ is bigger than $8$ ?
Because for negative numbers, the larger the digits the further below zero the number sits.
On a number line $- 14$ lies further to the left than $- 8$ , and further left always means smaller.
True or False?
In a list containing both positive and negative numbers, every negative number comes before every positive one.
True.
Every negative number sits below zero and every positive number above it, so the two groups never interleave.
That is why you can order each group separately and then simply join the two lists.
Define ascending and descending order.
Ascending order means increasing, so you start with the smallest value, which is the most negative one if there is any.
Descending order means decreasing, so you start with the largest value instead.

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