← Home

Decimal equivalents of tenths and hundredths

CONCEPTUAL
Mathematics›Fractions|Ages 8—9|ID: mt_TqDq6jyOmL

Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)

Mastery Evidence

  • Write 7/10 as 0.7 and vice versa
  • Convert 45/100 to 0.45
  • Place 0.3 and 3/10 at the same point on a number line

Assessment Prompt

“If [child] sees 7/10 on a price label, can they rewrite it as a decimal — and do the same thing for 43/100?”

Prerequisites2

Show full prerequisite tree
  • Tenths (age 8+) hard

    Must understand hundredths before writing decimal equivalents

    • Tenths hard

      Count in tenths is prerequisite to extending to hundredths

      • Fractions of amounts hard

        Tenths extend fraction understanding from halves, thirds, quarters

        • Finding halves and quarters (age 5+) hard

          Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters

          • What Is a Half? hard

            Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4

            • Division as equal sharing hard

              Finding a half requires equal sharing into 2 groups — a division concept

              • Subtraction as taking away or separating hard

                Division as equal sharing/grouping requires understanding subtraction as taking away/separating

                • How Many in Total? hard

                  Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

                  • One-to-one counting hard

                    Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

        • What Is a Half? hard

          Working with fractions extends from Y1 understanding of halves

          • Division as equal sharing hard

            Finding a half requires equal sharing into 2 groups — a division concept

            • Subtraction as taking away or separating hard

              Division as equal sharing/grouping requires understanding subtraction as taking away/separating

              • How Many in Total? hard

                Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

                • One-to-one counting hard

                  Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

        • Division as equal sharing soft

          Finding fractions of quantities uses equal sharing (division)

          • Subtraction as taking away or separating hard

            Division as equal sharing/grouping requires understanding subtraction as taking away/separating

            • How Many in Total? hard

              Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

              • One-to-one counting hard

                Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

        • Fraction Notation hard

          Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator

      • Counting in 2s soft

        Skip counting supports counting in tenths

  • Decimal & Percent Notation hard

    Writing decimal equivalents of tenths and hundredths requires decimal point and place-value vocabulary

Unlocks7