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Multiplication by a three-digit number. Division of a three-digit number by a two-digit number. Tasks involving addition and subtraction of multi-digit numbers.
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First find how many full boxes remain. Multiply that number by the quantity per box.
The library received books twice. Add the two amounts to find the total number of new books.
Line up the ones, tens and hundreds. Find the total received, rather than the difference between the deliveries.
Find each delivery’s pencil count with a separate multiplication, then add the two products.
Read the operation sign first.
Multiply the box count by the quantity per box, then subtract the distributed quantity.
Find the cost of one kit including its packing. Multiply that sum by the number of kits.
Use long division or split the dividend into convenient parts.
For example, 168 ÷ 7 = 140 ÷ 7 + 28 ÷ 7 = 20 + 4 = 24. Check that result × divisor gives the starting number.
Sending boxes away leaves fewer boxes. Subtract the number sent away from the starting number.
Check: the boxes left and the boxes sent away must add up to the starting amount.
Find the missing addend by subtracting the known addend from the total.
For example, for 240 + ? = 560, the missing amount is 560 − 240 = 320. Check that the known and found addends make the given total.
Line up the ones, tens and hundreds. Add starting with the ones.
If a place adds to 10 or more, carry a ten to the next place. For example, 268 + 157 = 425. Check by subtracting one addend from the result.
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Place value is essential when calculating with multi-digit numbers. In column addition and subtraction, ones are aligned with ones, tens with tens and hundreds with hundreds. Regrouping across a place-value boundary must be recorded in the next column.
In long multiplication, multiply by each digit of the other factor and align partial products according to place value. In long division, begin with the highest available place and determine how many times the divisor fits without exceeding the current part of the dividend.
Check an answer with an inverse operation: addition with subtraction and division with multiplication. Estimation is also useful for detecting a misplaced digit or a result that is much too large or too small.
Dynamic tasks on tenths and hundredths, comparing, adding and subtracting decimals, place value and sequences.
Explore numbers up to one million: place value, comparison, reading and rounding. Visual place-value charts and number lines support each step.
Practise long multiplication and division step by step: calculate partial products, divide with a remainder and check your result.
This test develops calculation of the arithmetic mean by adding all values and dividing by the number of values. Tasks also involve finding a missing data value and interpreting an average in a practical context.
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https://www.catestia.com/en/mathematics/4th-grade/multi-digit-numbers-test/28/