Year 4 · Tenths, Hundredths and Money · Summary

Year 4 Tenths, Hundredths and Money: summary and key words

Part of the Year 4 tenths, hundredths and money chapter. Chapter overview · whole chapter on one page

Chapter summary

Skill	Method
Tenths	1/10 = 0.1. The first digit after the decimal point is tenths. 7/10 = 0.7. 10 tenths = 1 whole: 0.9 + 0.1 = 1.0. 2 4/10 = 2.4.
Hundredths	1/100 = 0.01. The second digit after the point is hundredths. 37/100 = 0.37. 10 hundredths = 1 tenth. Use a 0 to keep the place: 7/100 = 0.07.
Fractions ↔ decimals	Tenths: count one digit after the point (bottom number 10). Hundredths: two digits (bottom number 100). 0.63 = 63/100, 2.3 = 2 3/10.
Place value	Ones . tenths hundredths. In 3.45: 3 ones, 4 tenths (0.4), 5 hundredths (0.05). 3.45 = 3 + 0.4 + 0.05.
Counting	Count in 0.1 or 0.01. 0.8, 0.9, 1.0, 1.1. 0.08, 0.09, 0.10, 0.11. Keep the same number of decimal places.
Halves and quarters	1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75 (50, 25 and 75 squares of a hundred square). 2 1/2 = 2.5.
Dividing by 10 and 100	÷ 10: digits move 1 column right. ÷ 100: digits move 2 columns right. Fill empty columns with 0: 7 ÷ 100 = 0.07.
Comparing and ordering	Line up the decimal points. Compare from the left: ones, tenths, hundredths. 0.45 < 0.5 (45 hundredths < 50 hundredths).
Rounding to a whole number	Look at the tenths digit. 5 or more: round up. 4 or less: round down. 3.4 ≈ 3, 3.5 ≈ 4, 3.7 ≈ 4.
Pounds and pence	100p = £1. Money has two digits after the point: £3.05. Pence to pounds: ÷ 100. Pounds to pence: × 100. Never write £ and p together.
Comparing money	Change to the same unit (pence) first. £3.40 = 340p, which is more than 304p.
Adding and subtracting money	Line up the decimal points. Pence first, then pounds. Carry 100p as £1 or exchange £1 for 100p. Estimate to check.
Change	Change = money paid − total cost. Or count up from the cost to the next pound, then to the money paid.
Multiplying and sharing money	Multiply the pounds and the pence separately and change pence over 99 to pounds. To share, change to pence and divide.
Measures with decimals	Line up the decimal points and write 2.5 as 2.50 to add or subtract: 2.50 + 1.75 = 4.25. Cm ÷ 100 = m, mm ÷ 10 = cm.

Can you…?

I can write tenths and hundredths as fractions and as decimals.
I know the value of each digit in a number with up to two decimal places.
I can show decimals on a place-value chart, a hundred square and a number line.
I can count up and down in tenths and hundredths, including across a whole number.
I know 1/2 = 0.5, 1/4 = 0.25 and 3/4 = 0.75.
I can divide a one- or two-digit number by 10 and by 100 and write the answer as a decimal.
I can compare and order decimals with up to two decimal places.
I can round a decimal with one decimal place to the nearest whole number.
I can write amounts of money correctly, change between pounds and pence, and compare money.
I can add and subtract money using columns, and work out change.
I can multiply and share money and solve multi-step money problems.
I can add and subtract measures written as decimals.

Key terms

Decimal: A number with a decimal point, like 3.45. The digits after the point are parts of a whole.
Decimal point: The dot that separates the whole numbers from the parts of a whole.
Tenth: One of 10 equal parts of a whole: 1/10 = 0.1.
Hundredth: One of 100 equal parts of a whole: 1/100 = 0.01.
Decimal place: A column after the decimal point. 0.47 has two decimal places.
Place value: The value of a digit because of the column it is in.
Hundred square: A square cut into 100 small squares. Each small square is one hundredth.
Equivalent: Having the same value, like 1/2 and 0.5.
Compare: To say which of two numbers is bigger or smaller.
Order: To put numbers in a list, smallest first or biggest first.
Round: To change a number to a nearby number that is easier to use, like 3.6 to 4.
Pence (p): Small units of money. 100p = £1.
Pound (£): A unit of money. £1 = 100p.
Change: The money you get back when you pay with more than the cost.
Total: All the amounts added together.
Estimate: To find an approximate answer by rounding the numbers first.
Convert: To change an amount from one unit to another, like cm to m.