Question

Write the decomposition that helps you, and then round to the given place value. Draw number lines to explain your thinking. Circle the rounded value on each number line.
a. 43.586 to the nearest tenth, hundredth, and one.
b. 243.875 to nearest tenth, hundredth, ten, and hundred.

Answer 1

43.586 to the nearest tenth :43.6 , hundredth :43.59  , and one: .44

243.875 to nearest tenth :243.9  , hundredth :243.88, ten :240 and hundred :200

Further explanation

There are general rules used in rounding numbers

• 1. Determine the rounded digit

• 2. Pay attention to the digits afterward (right). If the digit shows the numbers 0, 1, 2, 3 or 4, then the digit to be rounded is fixed, and the digit on the right is 0 all

• 3. If the digit on the right shows the numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added to one, and the digit on the right side is made all 0

In rounding the nearest hundreds number, then we see the digit in the number tens (right of the digit hundreds), if it is worth 0, 1, 2, 3 or 4, then it remains, but if it shows numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added one, and the right-hand side is 0

Calculated from the decimal point, the place on the right represents tents, hundredths, thousandths, etc.

a.  43.586

Decomposition

ten : 4

one : 3

tenth : 5

hundredth : 8

thousandths : 6

For the tenth number is 5, the value on the right is 8 then rounded become 43.6

For the hundredth number is 8, the value on the right is 6 then rounded become 43.59

for the one number is 3 , the value on the right is 5 then rounded become 44

b.243.875

Decomposition

hundred : 2

ten : 4

one : 3

tenth : 8

hundredth : 7

thousandths : 5

a. For the tenth number is 8, the value on the right is 7 then rounded become 243.9

For the hundredth number is 7, the value on the right is 5 then rounded become 243.88

For the ten number is 4, the value on the right is 3 then rounded become 240

For the hundred number is 2, the value on the right is 4 then rounded become  200

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Keywords: round up, round down, the rounded digit