Numbers to a million · Grade 4
In Numbers to a million (Grade 4) you practise 6 skills: Place value · Reading and writing numbers · Comparing and ordering · Number sequences · The number line · Building numbers. To read a large number, split its digits into groups of three from the right: 318,405. The group on the right is the units, tens and hundreds, and the group before it is the thousands. Read each group as a small number and add its name: three hundred and eighteen thousand, four hundred and five.
To compare two numbers, count the digits first: the number with more digits is larger. When they have the same number of digits, compare them digit by digit from the left until two digits differ. So 318,450 is greater than 318,405: the digits are the same up to the tens digit, and there 5 is greater than 0. In a sequence with an equal step, each number is the same amount more or less than the one before. To fill in a missing number, find the step from two neighbouring numbers, then add it or take it away.
Tip: A zero inside a number keeps the place: 40,315 has no thousands, but it has four ten thousands.
What you learn
Place value
For example: How many whole hundreds are there in 9,556?
Answer and solution
The answer: 95
9,556 = 95 × 100 + 56 There are 95 whole hundreds in the number.
Reading and writing numbers
For example: Write in digits: nine thousand, five hundred and fifty-seven.
Answer and solution
The answer: 9557
Thousands: 9. Hundreds, tens and units: 557. 9,557
Comparing and ordering
For example: Fill in the sign: 109,636 ☐ 91,430
Answer and solution
The answer: >
109,636 has 6 digits and 91,430 only 5, so: 109,636 > 91,430
Number sequences
For example: Write the missing number in the sequence: 150,500; 150,400; ☐; 150,200; 150,100
Answer and solution
The answer: 150300
The sequence goes down by 100 at each step: 150,400 − 100 = 150,300
The number line
For example: Which number is marked on the line?
Answer and solution
The answer: 300
Each part is worth: (1,000 − 0) ÷ 10 = 100 The point is 3 parts after 0: 0 + 3 × 100 = 300
Building numbers
For example: Which number meets every condition? It has 5 digits. Its hundreds digit is 1.
- 25,140
- 7,154
- 77,951
Answer and solution
The answer: 25140
25,140 meets every condition. 77,951 does not fit: its hundreds digit is 9. 7,154 does not fit: it has 4 digits.
Not on the site yet
Parts of this topic that are not built yet: Negative numbers · Hebrew letter numbers.
The exercises are made by rules and the answers are worked out in code, so there are new exercises every time. The topic follows the new Israeli elementary programme (2023).