Problem Solving Place Value

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This quiz addresses the requirements of the National Curriculum KS1 Maths and Numeracy for children aged 6 and 7 in year 2.

Specifically this quiz is aimed at the section dealing with using place value and number facts to solve problems.

For example: Number 12.65 has number 1 in the tens place, number 2 in ones place, number 6 in the tenths place and number 5 in the hundredth place.

We can write 12.65 as: 12.65 = 1 × 10 2 × 1 6 ÷ 10 5 ÷ 100 In a decimal system, any number can be written as the sum of integral powers of 10 multiplied by numbers from 1 to 9.

Fractional numbers can also be written using this convention. The digit at the hundreds place of any number has a place value of (where is the digit at the hundreds place).

Recall the number of tens and hundreds in 100s and 1000s.First let’s get some of the basic concepts out of the way: Digits and Place Values All numbers are composed of digits and each of these digits contributes to the value of the number based on their position.Example: Number 26 has 2 in the tenths place and 6 in the ones place.As the following table indicates, 26 has 2 sets of 10’s and 6 set of 1s.Therefore you can write 26 as: 26 = 2 × 10 6 This concept can also be applied to larger numbers as well as fractions.This Place Value Consolidation Year 5 Block 1 resource is aimed at Year 5 Secure and has been designed to give children the opportunity to consolidate the skills they have learned in Block 1 – Place Value.Mathematics Year 5: (5N2) Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit Mathematics Year 5: (5N1) Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000 Mathematics Year 5: (5N5) Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero Mathematics Year 5: (5N4) Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000 Mathematics Year 5: (5N6) Solve number problems and practical problems that involve all of the above Mathematics Year 5: (5N3b) Read Roman numerals to 1000 (M) and recognise years written in Roman numerals Small Steps: Numbers to 100.000 Counting in 10s, 100s, 1,000s, 10,000s and 100,000s Compare and order numbers to a million Negative numbers Roman Numerals to 1000 Round any number up to 1,000, 000 ​​​This resource is available to download with a Premium subscription.Solution: The place value of 4 in hundreds place = 400 The place value of 4 in hundred thousand place = 400000 Their product = 400000 × 400 = 160000000 3.Write the smallest 5-digit number: (a) having 5 different digits (b) having 8 in thousands place (c) having 9 in ones place Solution: (a) The smallest 5 different digits are 0, 1, 2, 3, 4 Therefore, the smallest 5-digit number having 5-different digits 10234 (b) The smallest 5-digit number having 8 in thousands place is 18023.The student may have rote-learned place value names and may be able to identify the digit in the tens or hundreds place but cannot create a model of whole numbers.The student may not understand 10 as the basis of our number system and may see 1 purely as a counting unit.