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Place value is the base of number sense.
In grade 5 , we expect a child to be able to read a number to a million and understand how to make a number into explanded form, standard form and word form.
ex) Standard: 1,234,456
Expanded: 1,000,000+200,000+30,000+4,000+400+50+6
Word form: one million two hundred and thirty four thousand four hundred and fifty six
In grade 5 , we expect a child to be able to read a number to a million and understand how to make a number into explanded form, standard form and word form.
ex) Standard: 1,234,456
Expanded: 1,000,000+200,000+30,000+4,000+400+50+6
Word form: one million two hundred and thirty four thousand four hundred and fifty six
Estimation Strategies
Front-end Strategy
The front-end strategy is a method of estimating numbers by keeping the first digit in each of the numbers and changing all the other digits to zeros. This strategy can be used to estimate sums, differences, products and quotients. Note that the front-end strategy always gives an underestimate for sums, products and quotients \
ex) 5678 + 3456= 5000+3000
Compensation
The compensation strategy is a method of estimating numbers by rounding one number up and one number down. This should make them easier to work with.
ex) 4325 + 4678= 4300+4700
Compatible Numbers
The compatibility stategy is a method of changing the numbers so they work well with each other. This method should give you a closer estimate.
ex) 2346+ 6537
Front-end Strategy
The front-end strategy is a method of estimating numbers by keeping the first digit in each of the numbers and changing all the other digits to zeros. This strategy can be used to estimate sums, differences, products and quotients. Note that the front-end strategy always gives an underestimate for sums, products and quotients \
ex) 5678 + 3456= 5000+3000
Compensation
The compensation strategy is a method of estimating numbers by rounding one number up and one number down. This should make them easier to work with.
ex) 4325 + 4678= 4300+4700
Compatible Numbers
The compatibility stategy is a method of changing the numbers so they work well with each other. This method should give you a closer estimate.
ex) 2346+ 6537