Year 5 · Place Value to 1,000,000 · Summary

Year 5 Place Value to 1,000,000: summary and key words

Part of the Year 5 place value to 1,000,000 chapter. Chapter overview · whole chapter on one page

Chapter summary

Skill	Method
Read and write large numbers	Split into periods with commas: Millions \| Thousands \| Ones. Zeros are place holders. 999,999 + 1 = 1,000,000.
Value of a digit	Digit × value of its column. The 4 in 340,000 is worth 40,000. Partition: 306,075 = 300,000 + 6,000 + 70 + 5.
Compare and order	More digits means bigger. Same digits: compare from the left. < less than, > greater than.
Counting in powers of 10	Only one digit changes (the column that matches the step). Carry for a 9 going up, swap for a 0 going down.
Missing terms	Find two known numbers, divide the difference by the number of jumps, then fill the gaps.
Negative numbers	Below zero. Further left is smaller. Split jumps that cross zero. Difference across zero: add the distances.
Rounding	Look at the digit to the right. 5 or more: round up. 4 or less: round down. Halfway rounds up.
Estimating	Round each number, then calculate. Use the estimate to check an answer.
Roman numerals	I 1, V 5, X 10, L 50, C 100, D 500, M 1,000. Thousands, hundreds, tens, ones. MCMXCIX = 1,999, MMXXVI = 2,026.

I can read, write and partition numbers up to 1,000,000.
I can say the value of any digit.
I can order and compare numbers up to 1,000,000.
I can count on and back in 10s, 100s, 1,000s, 10,000s and 100,000s, and fill missing numbers.
I can use negative numbers for temperatures, depths and bank balances and count through zero.
I can round to the nearest 10, 100, 1,000, 10,000 and 100,000.
I can use rounding to estimate and to check answers.
I can read Roman numerals up to 1,000 and years such as MMXXVI.
I can solve problems and puzzles that use all of these ideas.

Period: A group of three columns in a big number: Ones, Thousands, Millions.
Digit: One of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Place value: The value of a digit depends on its column.
Place holder: A zero that holds an empty column so the other digits stay in the right place.
Partition: To split a number into the value of each digit: 4,306 = 4,000 + 300 + 6.
Ascending: Getting bigger: smallest first.
Descending: Getting smaller: biggest first.
Power of 10: The numbers 10, 100, 1,000, 10,000, 100,000 and so on. Each is 10 times the one before.
Sequence: A list of numbers that follow a rule.
Negative number: A number less than zero, written with a minus sign, like −5.
Overdrawn: A bank balance below zero. You owe the bank money.
Round: To change a number to a nearby, simpler number, such as to the nearest 1,000.
Estimate: A sensible answer that is close to the exact one.
Roman numerals: Letters used for numbers by the Romans: I, V, X, L, C, D, M.