Rounding Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

Round

8.965

to the nearest hundredth. Then round

-3.45

to the nearest tenth.

1
$8.965$ : hundredths digit is $6$ , next digit is $5 \geq 5$ , so round up: $8.97$ .
2
$-3.45$ : tenths digit is $4$ , next digit is $5 \geq 5$ , so round up in magnitude (away from zero for half-way): $-3.5$ .

Answer

8.965 \approx 8.97

;

-3.45 \approx -3.5

(rounding half up convention).

Standard rounding rounds halves up (toward positive infinity). For negative numbers, 'round half up' gives

-3.5

from

-3.45

. Different conventions exist (round half to even, round half away from zero), so it is important to know which applies.

About Rounding

Replacing a number with a nearby simpler approximation at a specified place value, using the digit to the right to decide.

Round [formula] to (a) the nearest hundred, (b) the nearest tenth.

Round [formula] to [formula] significant figures. Then round [formula] to [formula] significant figu

A measurement is given as [formula] m. Round to the nearest metre and estimate the percent error int